{"id":1413,"date":"2024-09-12T07:22:00","date_gmt":"2024-09-11T23:22:00","guid":{"rendered":"https:\/\/blog.laoyulaoyu.top\/?p=1413"},"modified":"2024-09-04T21:56:28","modified_gmt":"2024-09-04T13:56:28","slug":"%e7%94%a8-python-%e4%b8%ad%e7%9a%84%e9%87%8f%e5%ad%90%e6%9c%ba%e5%99%a8%e5%ad%a6%e4%b9%a0%e9%a2%84%e6%b5%8b%e8%82%a1%e7%a5%a8%e4%bb%b7%e6%a0%bc","status":"publish","type":"post","link":"https:\/\/blog.laoyulaoyu.top\/index.php\/2024\/09\/12\/%e7%94%a8-python-%e4%b8%ad%e7%9a%84%e9%87%8f%e5%ad%90%e6%9c%ba%e5%99%a8%e5%ad%a6%e4%b9%a0%e9%a2%84%e6%b5%8b%e8%82%a1%e7%a5%a8%e4%bb%b7%e6%a0%bc\/","title":{"rendered":"\u7528 Python \u4e2d\u7684\u91cf\u5b50\u673a\u5668\u5b66\u4e60\u9884\u6d4b\u80a1\u7968\u4ef7\u683c"},"content":{"rendered":"\n<p>\u4f5c\u8005\uff1a<a href=\"https:\/\/www.laoyulaoyu.com\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u8001\u4f59\u635e\u9c7c<\/a><\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-cyan-bluish-gray-color\">\u539f\u521b\u4e0d\u6613\uff0c\u8f6c\u8f7d\u8bf7\u6807\u660e\u51fa\u5904\u53ca\u539f\u4f5c\u8005\u3002<\/mark><\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\" id=\"075e\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/0*xGjBwo2cGCdAky8J\" alt=\"\"\/><\/figure>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<pre class=\"wp-block-verse\" id=\"b7e0\"><strong>\u5199\u5728\u524d\u9762\u7684\u8bdd\uff1a<\/strong>\u4eca\u5929\uff0c\u6211\u4eec\u5c06\u6df1\u5165\u91cf\u5b50\u8ba1\u7b97\u4e0e\u673a\u5668\u5b66\u4e60\u7684\u4ea4\u53c9\u9886\u57df\uff0c\u63a2\u7d22\u91cf\u5b50\u673a\u5668\u5b66\u4e60\u3002\u6211\u4eec\u7684\u4e3b\u8981\u76ee\u6807\u662f<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">\u6bd4\u8f83\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u4e0e\u7b80\u5355\u7684\u5355\u5c42 MLP \u5728\u9884\u6d4b\u80a1\u7968\u4ef7\u683c\u65f6\u95f4\u5e8f\u5217\u65b9\u9762\u7684\u6027\u80fd<\/mark>\u3002<\/pre>\n<\/blockquote>\n\n\n\n<p id=\"b7e0\">\u4e3a\u4e86\u4fc3\u8fdb\u8fd9\u4e2a\u9879\u76ee\uff0c\u6211\u4eec\u5c06\u5229\u7528 Financial Modeling Prep (FMP) \u63d0\u4f9b\u7684 Historical API \u7aef\u70b9\u6765\u83b7\u53d6\u53ef\u9760\u3001\u51c6\u786e\u7684\u6570\u636e\uff0c\u8fd9\u4e00\u70b9\u975e\u5e38\u91cd\u8981\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"e0f2\"><strong>\u4e00\u3001\u5bfc\u5165\u6570\u636e<\/strong><\/h2>\n\n\n\n<p id=\"f684\">\u9996\u5148\uff0c\u8ba9\u6211\u4eec\u5bfc\u5165\u5206\u6790\u6240\u9700\u7684\u5e93\u3002\u8fd9\u4e9b\u5e93\u5c06\u4e3a\u6211\u4eec\u63d0\u4f9b\u63a2\u7d22\u548c\u5b9e\u65bd\u9879\u76ee\u6240\u9700\u7684\u57fa\u672c\u5de5\u5177\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>import numpy as np\nimport pandas as pd\nimport requests\nimport json\nimport tensorflow as tf\nfrom sklearn.model_selection import train_test_split\nfrom tensorflow.keras.models import Sequential\nfrom tensorflow.keras.layers import Dense\nfrom sklearn.metrics import mean_squared_error\nfrom qiskit import QuantumCircuit\nfrom qiskit.circuit.library import PauliFeatureMap\nfrom qiskit.algorithms.optimizers import ADAM\nfrom qiskit.circuit import Parameter\nfrom qiskit.primitives import Sampler<\/code><\/pre>\n\n\n\n<p id=\"074d\">\u6211\u4eec\u5df2\u7ecf\u5b89\u88c5\u4e86\u7528\u4e8e\u91cf\u5b50\u8ba1\u7b97\u7f51\u7edc\u7684 Qiskit \u5e93\u548c\u5176\u4ed6\u91cd\u8981\u5e93\uff0c\u4ece\u800c\u5efa\u7acb\u4e86\u6211\u4eec\u7684\u73af\u5883\u3002\u4e3a\u4e86\u63d0\u53d6\u6570\u636e\uff0c\u6211\u4eec\u5c06\u4f7f\u7528&nbsp;<a href=\"https:\/\/site.financialmodelingprep.com\/developer?utm_source=medium&amp;utm_medium=blog&amp;utm_campaign=Nikhil9\">Financial Modeling Prep<\/a> \u63d0\u4f9b\u7684<a href=\"https:\/\/site.financialmodelingprep.com\/developer?utm_source=medium&amp;utm_medium=blog&amp;utm_campaign=Nikhil9\">\u5386\u53f2\u6570\u636e API <\/a>\u3002<\/p>\n\n\n\n<p id=\"1cfd\">FMP \u7684\u5386\u53f2\u6570\u636e\u5e94\u7528\u7a0b\u5e8f\u63a5\u53e3\uff08API\uff09\u63d0\u4f9b\u4e86\u4e00\u4e2a\u65b9\u4fbf\u8bbf\u95ee\u7684\u7aef\u70b9\uff0c\u63d0\u4f9b\u4e86\u4e30\u5bcc\u591a\u6837\u7684\u5386\u53f2\u80a1\u7968\u6570\u636e\uff0c\u8fd9\u5728\u6211\u4eec\u9879\u76ee\u7684\u6bcf\u4e00\u4e2a\u6b65\u9aa4\u4e2d\u90fd\u8bc1\u660e\u662f\u975e\u5e38\u5b9d\u8d35\u7684\u3002\u8fd9\u4e00\u8d44\u6e90\u4f7f\u6211\u4eec\u80fd\u591f\u8bbf\u95ee\u5e7f\u6cdb\u7684\u91d1\u878d\u4fe1\u606f\uff0c\u4ece\u800c\u63d0\u9ad8\u6211\u4eec\u5206\u6790\u7684\u6df1\u5ea6\u548c\u51c6\u786e\u6027\u3002\u5176\u53cb\u597d\u7684\u7528\u6237\u754c\u9762\u548c\u5168\u9762\u7684\u6570\u636e\u96c6\u5927\u5927\u63d0\u9ad8\u4e86\u6211\u4eec\u7814\u7a76\u548c\u5b9e\u65bd\u7684\u6210\u529f\u7387\u548c\u6548\u7387\u3002\u73b0\u5728\uff0c\u6211\u4eec\u5c06\u63d0\u53d6\u5386\u53f2\u6570\u636e\u5982\u4e0b\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>api_url = \"https:\/\/financialmodelingprep.com\/api\/v3\/historical-price-full\/AAPL?apikey=YOUR API KEY\"\n\n# Make a GET request to the API\nresponse = requests.get(api_url)\n\n# Check if the request was successful (status code 200)\nif response.status_code == 200:\n    # Parse the response JSON\n    data = response.json()\nelse:\n    print(f\"Error: Unable to fetch data. Status code: {response.status_code}\")\n\ndata<\/code><\/pre>\n\n\n\n<p id=\"2939\">\u5c06\u60a8\u7684 API \u5bc6\u94a5\u66ff\u6362\u4e3a\u60a8\u7684\u79d8\u5bc6 API \u5bc6\u94a5\uff0c\u60a8\u53ef\u4ee5\u901a\u8fc7<a href=\"https:\/\/site.financialmodelingprep.com\/register?utm_source=medium&amp;utm_medium=blog&amp;utm_campaign=Nikhil9\">\u521b\u5efa FMP \u5e10\u6237<\/a>\u83b7\u5f97\u8be5\u5bc6\u94a5\u3002\u8f93\u51fa\u662f\u4e00\u4e2a JSON \u54cd\u5e94\uff0c\u5982\u4e0b\u6240\u793a\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\" id=\"fa91\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/1*fHLpaEJwsu2VeL4rYPsuDw.png\" alt=\"\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"aa1f\"><br><strong>\u4e8c\u3001\u91cf\u5b50\u8ba1\u7b97\u7b80\u4ecb<\/strong><\/h2>\n\n\n\n<p id=\"bdef\">\u5728\u666e\u901a\u8ba1\u7b97\u673a\u4e2d\uff0c\u6211\u4eec\u6709\u88ab\u79f0\u4e3a &#8220;\u4e0e\u6216\u95e8 &#8220;\u7684\u5fae\u5c0f\u5f00\u5173\u3002\u8fd9\u4e9b\u5f00\u5173\u63a7\u5236\u7740\u4fe1\u606f\u7684\u79fb\u52a8\u3002\u5b83\u4eec\u4e0e\u79f0\u4e3a &#8220;\u6bd4\u7279 &#8220;\u7684\u57fa\u672c\u6570\u636e\u5355\u4f4d\u534f\u540c\u5de5\u4f5c\uff0c\u6bd4\u7279\u53ef\u4ee5\u662f 0 \u6216 1\u3002\u8fd9\u4e9b\u95e8\u5e2e\u52a9\u8ba1\u7b97\u673a\u8fdb\u884c\u8ba1\u7b97\u548c\u5904\u7406\u6570\u636e\u3002\u73b0\u5728\uff0c\u5728\u91cf\u5b50\u8ba1\u7b97\u673a\u4e2d\uff0c\u6211\u4eec\u4f7f\u7528\u4e00\u79cd\u53eb\u505a &#8220;\u91cf\u5b50\u6bd4\u7279 &#8220;\u7684\u4e1c\u897f\u6765\u4ee3\u66ff\u6bd4\u7279\u3002\u91cf\u5b50\u6bd4\u7279\u5f88\u7279\u522b\uff0c\u56e0\u4e3a\u5b83\u4eec\u53ef\u4ee5\u540c\u65f6\u4e3a 0 \u548c 1\u3002\u8fd9\u5c31\u597d\u6bd4\u4e00\u679a\u786c\u5e01\u5728\u65cb\u8f6c\u65f6\u4f1a\u540c\u65f6\u663e\u793a\u6b63\u9762\u548c\u53cd\u9762\uff0c\u76f4\u5230\u4f60\u6293\u4f4f\u5b83\uff0c\u5b83\u624d\u4f1a\u9009\u62e9\u5176\u4e2d\u4e00\u9762\u3002<\/p>\n\n\n\n<p id=\"2c97\">\u5f53\u6211\u4eec\u8bf4 &#8220;\u6ce2\u51fd\u6570\u574d\u7f29 &#8220;\u65f6\uff0c\u8fd9\u53ea\u662f\u4e00\u79cd\u82b1\u54e8\u7684\u8bf4\u6cd5\uff0c\u5373\u5f53\u6211\u4eec\u68c0\u67e5\u65f6\uff0c\u91cf\u5b50\u6bd4\u7279\u51b3\u5b9a\u662f 0 \u6216 1\u3002\u6211\u4eec\u7528\u4e0d\u540c\u7684\u4e1c\u897f\u6765\u5236\u9020\u8fd9\u4e9b\u91cf\u5b50\u6bd4\u7279\uff0c\u6bd4\u5982\u5149\u7c92\u5b50\uff08\u5149\u5b50\uff09\u3001\u6784\u6210\u4e1c\u897f\u7684\u5fae\u5c0f\u7c92\u5b50\uff08\u539f\u5b50\uff09\uff0c\u751a\u81f3\u662f\u5c0f\u7535\u8def\uff08\u7ea6\u745f\u592b\u68ee\u7ed3\uff09\u3002\u8fd9\u4e9b\u5c31\u50cf\u662f\u6211\u4eec\u7279\u6b8a\u91cf\u5b50\u6bd4\u7279\u7684\u6784\u4ef6\u3002\u8fd9\u4e9b\u91cf\u5b50\u7cfb\u7edf\uff08\u7c92\u5b50\u6216\u7535\u8def\uff09\u4f1a\u505a\u4e00\u4e9b\u6709\u8da3\u7684\u4e8b\u60c5\u3002\u5b83\u4eec\u53ef\u4ee5\u540c\u65f6\u5904\u4e8e\u4e0d\u540c\u7684\u72b6\u6001\uff08\u53e0\u52a0\uff09\uff0c\u4ee5\u4e00\u79cd\u7279\u6b8a\u7684\u65b9\u5f0f\u8fde\u63a5\u5728\u4e00\u8d77\uff08\u7ea0\u7f20\uff09\uff0c\u751a\u81f3\u7a7f\u8fc7\u5b83\u4eec\u4e0d\u5e94\u8be5\u7a7f\u8fc7\u7684\u969c\u788d\uff08\u96a7\u7a7f\uff09\u3002\u6700\u9177\u7684\u662f\uff0c\u91cf\u5b50\u8ba1\u7b97\u673a\u51ed\u501f\u5176\u91cf\u5b50\u6bd4\u7279\u548c\u7279\u6b8a\u884c\u4e3a\uff0c\u5229\u7528\u67d0\u4e9b\u7b97\u6cd5\u6bd4\u666e\u901a\u8ba1\u7b97\u673a\u66f4\u5feb\u5730\u89e3\u51b3\u67d0\u4e9b\u95ee\u9898\u3002\u8fd9\u5c31\u50cf\u62e5\u6709\u4e86\u4e00\u79cd\u65b0\u5de5\u5177\uff0c\u5b83\u53ef\u80fd\u4f1a\u5e2e\u52a9\u6211\u4eec\u5728\u672a\u6765\u66f4\u9ad8\u6548\u5730\u89e3\u51b3\u68d8\u624b\u7684\u96be\u9898\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"f9be\"><br><strong>2.1 \u91cf\u5b50\u8ba1\u7b97\u4e2d\u7684\u7b97\u5b50<\/strong><\/h3>\n\n\n\n<p id=\"7677\">\u5728\u4f20\u7edf\u8ba1\u7b97\u4e2d\uff0c\u6211\u4eec\u4f7f\u7528 AND\u3001NOT \u548c OR \u7b49\u57fa\u672c\u903b\u8f91\u95e8\u8fdb\u884c\u8fd0\u7b97\u3002\u8fd9\u4e9b\u903b\u8f91\u95e8\u4f7f\u7528 0 \u548c 1 \u8fdb\u884c\u8fd0\u7b97\uff0c\u5176\u89c4\u5219\u57fa\u4e8e\u4e00\u4e2a\u7b80\u5355\u7684\u6570\u5b66\u7cfb\u7edf\uff0c\u79f0\u4e3a<\/p>\n\n\n\n<figure class=\"wp-block-image\" id=\"3a10\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/0*CbvJr7cxj7PyT8zH\" alt=\"\"\/><\/figure>\n\n\n\n<p id=\"7159\">\u5b83\u4e3b\u8981\u5904\u7406 2 \u7684\u6a21\u6570\u8ba1\u7b97\u3002\u73b0\u5728\uff0c\u60f3\u8c61\u4e00\u4e0b\u91cf\u5b50\u8ba1\u7b97\u673a&#8211;\u5b83\u4e5f\u6709\u95e8\uff0c\u4f46\u8fd9\u4e9b\u95e8\u5c31\u50cf\u589e\u538b\u7248\u3002\u91cf\u5b50\u95e8\u5904\u7406\u7684\u4e0d\u662f\u7b80\u5355\u7684\u6bd4\u7279\uff0c\u800c\u662f\u91cf\u5b50\u6bd4\u7279\u6216\u91cf\u5b50\u4f4d\u3002\u8fd9\u4e9b\u91cf\u5b50\u95e8\u80cc\u540e\u7684\u6570\u5b66\u6d89\u53ca\u590d\u6570\u548c\u77e9\u9635\u8fd0\u7b97\u3002<\/p>\n\n\n\n<p id=\"86d2\">\u4ee5\u91cf\u5b50 NOT \u95e8\u4e3a\u4f8b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\" id=\"adcc\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/0*07GVPBx35zzC4BsE\" alt=\"\"\/><\/figure>\n\n\n\n<p id=\"def2\">\u5c06\u5b83\u5e94\u7528\u4e8e\u521d\u59cb\u72b6\u6001\u4e3a\u22230\u27e9\u7684\u91cf\u5b50\u6bd4\u7279\uff0c\u7b97\u5b50\u5c31\u4f1a\u628a\u5b83\u7ffb\u8f6c\u5230\u22231\u27e9\uff0c\u5982\u679c\u518d\u6b21\u5e94\u7528\uff0c\u5b83\u53c8\u4f1a\u56de\u5230\u22230\u27e9\u3002\u8fd9\u6709\u70b9\u50cf\u63b7\u786c\u5e01\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\" id=\"9227\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/0*8ZwhTEAkwjpdzquZ\" alt=\"\"\/><\/figure>\n\n\n\n<p id=\"4ad9\">\u8fd8\u6709\u4e00\u79cd\u54c8\u8fbe\u739b\u95e8\uff08H\uff09\uff0c\u5b83\u80fd\u505a\u4e00\u4e9b\u975e\u5e38\u9177\u7684\u4e8b\u60c5\u3002\u5c06\u5b83\u5e94\u7528\u4e8e\u6700\u521d\u5904\u4e8e\u22230\u27e9\u72b6\u6001\u7684\u91cf\u5b50\u6bd4\u7279\uff0c\u4f1a\u8ba9\u5b83\u540c\u65f6\u5904\u4e8e 0 \u548c 1 \u7684\u7279\u6b8a\u6df7\u5408\u72b6\u6001\uff0c\u4ece\u800c\u5728\u6570\u5b66\u4e0a\u663e\u793a\u51fa H \u5bf9|0\u27e9\u7684\u64cd\u4f5c\uff0c\u5e76\u5c06\u5176\u8f6c\u6362\u4e3a\u6807\u51c6\u7684\u57fa\u6001\u53e0\u52a0\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\" id=\"ebcb\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/0*WDk88Qs1BlZN05Lb\" alt=\"\"\/><\/figure>\n\n\n\n<p id=\"99db\">\u8fd9\u5c31\u597d\u6bd4\u4e00\u679a\u786c\u5e01\u5728\u7a7a\u4e2d\u65cb\u8f6c\uff0c\u5728\u843d\u5730\u4e4b\u524d\u65e2\u663e\u793a\u6b63\u9762\u4e5f\u663e\u793a\u53cd\u9762\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\" id=\"2df5\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/0*VHUi5L-u-gNOlshu\" alt=\"\"\/><\/figure>\n\n\n\n<p id=\"c022\">\u73b0\u5728\uff0c\u8ba9\u6211\u4eec\u6765\u8c08\u8c08\u53d7\u63a7-\u975e\uff08CNOT\uff09\u95e8\u3002\u5b83\u4f5c\u7528\u4e8e\u4e24\u4e2a\u91cf\u5b50\u4f4d\u3002\u5982\u679c\u7b2c\u4e00\u4e2a\u91cf\u5b50\u6bd4\u7279\u4e3a\u22231\u27e9\uff0c\u5b83\u5c31\u4f1a\u5c06\u7b2c\u4e8c\u4e2a\u91cf\u5b50\u6bd4\u7279\u4ece\u22230\u27e9\u7ffb\u8f6c\u5230\u22231\u27e9\uff0c\u53cd\u4e4b\u4ea6\u7136\u3002\u8fd9\u5c31\u50cf\u4e00\u4e2a\u91cf\u5b50\u5f00\u5173\uff0c\u53d6\u51b3\u4e8e\u7b2c\u4e00\u4e2a\u91cf\u5b50\u6bd4\u7279\u7684\u72b6\u6001\u3002<\/p>\n\n\n\n<p id=\"d76b\">\u5728\u91cf\u5b50\u4e16\u754c\u91cc\uff0c\u4e8b\u60c5\u53d8\u5f97\u66f4\u52a0\u6709\u8da3\u3002\u5982\u679c\u6709\u4e24\u4e2a\u5904\u4e8e\u7279\u6b8a\u72b6\u6001\u7684\u91cf\u5b50\u6bd4\u7279\uff0cCNOT \u95e8\u4f1a\u552f\u4e00\u5730\u91cd\u65b0\u6392\u5217\u5b83\u4eec\u7684\u7ec4\u5408\uff0c\u4ea7\u751f\u6211\u4eec\u6240\u8bf4\u7684\u7ea0\u7f20\u3002\u8fd9\u79cd\u7ea0\u7f20\u5c31\u50cf\u662f\u91cf\u5b50\u6bd4\u7279\u4e4b\u95f4\u7684\u4e00\u79cd\u7279\u6b8a\u8054\u7cfb\uff0c\u4f7f\u5b83\u4eec\u7684\u884c\u4e3a\u534f\u8c03\u4e00\u81f4\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\" id=\"35d1\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/0*1kuL9Uo6SoUA0k4n\" alt=\"\"\/><\/figure>\n\n\n\n<p id=\"704a\">\u56e0\u6b64\uff0c\u7b80\u800c\u8a00\u4e4b\uff0c\u666e\u901a\u8ba1\u7b97\u673a\u4f7f\u7528\u7684\u662f 0 \u548c 1 \u7684\u57fa\u672c\u89c4\u5219\uff0c\u800c\u91cf\u5b50\u8ba1\u7b97\u673a\u62e5\u6709\u8fd9\u4e9b\u8ff7\u4eba\u7684\u95e8\uff0c\u53ef\u4ee5\u73a9\u5f04\u6982\u7387\u3001\u6df7\u5408\u72b6\u6001\uff0c\u5e76\u5728\u91cf\u5b50\u6bd4\u7279\u4e4b\u95f4\u5efa\u7acb\u8054\u7cfb\uff0c\u4e3a\u66f4\u9ad8\u6548\u5730\u89e3\u51b3\u590d\u6742\u95ee\u9898\u5f00\u8f9f\u4e86\u4e00\u4e2a\u5145\u6ee1\u53ef\u80fd\u6027\u7684\u4e16\u754c\u3002<\/p>\n\n\n\n<p id=\"01ad\">\u5728\u6211\u4eec\u7684\u9879\u76ee\u4e2d\uff0c\u6211\u4eec\u7279\u522b\u5f3a\u8c03\u4e00\u7c7b\u88ab\u79f0\u4e3a\u53c2\u6570\u5316\u95e8\u7684\u95e8\u3002\u8fd9\u4e9b\u95e8\u7684\u884c\u4e3a\u53d6\u51b3\u4e8e\u7279\u5b9a\u7684\u8f93\u5165\u53c2\u6570\uff0c\u7528\u7b26\u53f7 \u03b8 \u8868\u793a\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\" id=\"8627\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/0*BQaFVWcL9AZ1XyV3\" alt=\"\"\/><\/figure>\n\n\n\n<p id=\"1821\">\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u6bcf\u4e2a\u77e9\u9635\u90fd\u6709\u4e00\u4e2a\u5355\u5143\u77e9\u9635\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\" id=\"f713\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/0*1k2wch__SvgofoKT\" alt=\"\"\/><\/figure>\n\n\n\n<p id=\"7f35\">\u8ba9\u6211\u4eec\u6df1\u5165\u7814\u7a76\u4e00\u4e0b\u8fd9\u4e9b\u65cb\u8f6c\u95e8\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\" id=\"2d0d\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/0*kixW3WVCHCGb39M4\" alt=\"\"\/><\/figure>\n\n\n\n<p id=\"4120\">\u8bbe\u60f3\u5b83\u662f\u4e00\u4e2a\u7c7b\u4f3c\u65cb\u8f6c\u95e8\u7684\u91cf\u5b50\u95e8\uff0c\u53ef\u4ee5\u5c06\u91cf\u5b50\u6bd4\u7279\u65cb\u8f6c\u4e00\u4e2a\u7279\u5b9a\u7684\u89d2\u5ea6 \u03b8\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\" id=\"1c65\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/0*JGeGE_bQlxPQZ98r\" alt=\"\"\/><\/figure>\n\n\n\n<p id=\"0cfb\">\u548c<\/p>\n\n\n\n<figure class=\"wp-block-image\" id=\"6c54\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/0*nx0_07mcl5kPGDVs\" alt=\"\"\/><\/figure>\n\n\n\n<p id=\"e40a\">\u95e8\u7684\u529f\u80fd\u7c7b\u4f3c\uff0c\u90fd\u662f\u56f4\u7ed5\u4e0d\u540c\u7684\u8f74\u8fdb\u884c\u65cb\u8f6c\u3002<\/p>\n\n\n\n<p id=\"89ca\">\u8fd9\u4e9b\u95e8\u7684\u610f\u4e49\u5728\u4e8e\u5176\u53c2\u6570\u5316\u7684\u7279\u6027\u3002\u901a\u8fc7\u8c03\u6574\u8f93\u5165\u53c2\u6570\u03b8\uff0c\u6211\u4eec\u5728\u91cf\u5b50\u7b97\u6cd5\u4e2d\u5f15\u5165\u4e86\u4e00\u4e2a\u53ef\u5b9a\u5236\u7684\u5143\u7d20\u3002\u8fd9\u4e9b\u95e8\u662f\u6784\u5efa\u6211\u4eec\u9879\u76ee\u4e2d\u4e0d\u53ef\u6216\u7f3a\u7684\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u7684\u57fa\u7840\u7ec4\u4ef6\u3002<\/p>\n\n\n\n<p id=\"987b\">\u4ece\u672c\u8d28\u4e0a\u8bb2\uff0c\u03b8 \u5c31\u50cf\u4e00\u4e2a\u7c7b\u4f3c\u65cb\u94ae\u7684\u8c03\u8282\u53c2\u6570\uff0c\u4f7f\u6211\u4eec\u80fd\u591f\u5728\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u6846\u67b6\u5185\u5bf9\u91cf\u5b50\u7b97\u6cd5\u7684\u884c\u4e3a\u8fdb\u884c\u5fae\u8c03\u548c\u5b9a\u5236\u3002\u5728\u9488\u5bf9\u7279\u5b9a\u4efb\u52a1\u4f18\u5316\u548c\u5b9a\u5236\u91cf\u5b50\u7b97\u6cd5\u6027\u80fd\u65f6\uff0c\u8fd9\u79cd\u7075\u6d3b\u6027\u53d8\u5f97\u81f3\u5173\u91cd\u8981\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"7956\"><strong>2.2 \u91cf\u5b50\u7535\u8def<\/strong><\/h3>\n\n\n\n<p id=\"36ff\">\u91cf\u5b50\u7b97\u6cd5\u53ef\u4ee5\u770b\u4f5c\u662f\u5bf9\u91cf\u5b50\u6001\u6267\u884c\u7684\u4e00\u7cfb\u5217\u64cd\u4f5c\uff0c\u7528\u7c7b\u4f3c\u7684\u8868\u8fbe\u5f0f\u6765\u8868\u793a\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\" id=\"6733\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/0*h_zWmLrbBBNSnkk5\" alt=\"\"\/><\/figure>\n\n\n\n<p id=\"a40b\">\u5982\u4e0b\u56fe\u6240\u793a\uff0c\u8fd9\u4e9b\u7b97\u6cd5\u88ab\u8f6c\u5316\u4e3a\u91cf\u5b50\u7535\u8def\u3002\u5728\u8fd9\u5e45\u56fe\u4e2d\uff0c\u7b97\u6cd5\u4ece\u521d\u59cb\u72b6\u6001 |q_0 q_1\u27e9 = |00\u27e9 \u5f00\u59cb\uff0c\u4ee5\u6d4b\u91cf\u7ed3\u679c|00\u27e9 \u6216 |11\u27e9\uff08\u6982\u7387\u76f8\u7b49\uff0c\u5747\u4e3a 0.5\uff09\u7ed3\u675f\uff0c\u5e76\u8bb0\u5f55\u4e3a\u7ecf\u5178\u6bd4\u7279\uff08c \u7ebf\uff09\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\" id=\"dd71\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/0*6o0ViP3V3GHI7H33\" alt=\"\"\/><\/figure>\n\n\n\n<p id=\"1dcd\">\u5728\u91cf\u5b50\u7535\u8def\u4e2d\uff0c\u6bcf\u6761\u6a2a\u7ebf\u5bf9\u5e94\u4e00\u4e2a\u91cf\u5b50\u6bd4\u7279\uff0c\u95e8\u4f9d\u6b21\u5e94\u7528\uff0c\u76f4\u5230\u6d4b\u91cf\u4e3a\u6b62\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u91cf\u5b50\u7a0b\u5e8f\u4e2d\u4e0d\u5141\u8bb8\u5faa\u73af\u3002\u53d8\u5206\u91cf\u5b50\u7535\u8def\uff08VQC\uff09\u662f\u91cf\u5b50\u7535\u8def\u7684\u4e00\u79cd\u7279\u6b8a\u7c7b\u578b\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0cVQC \u5305\u542b\u53c2\u6570\u5316\u95e8\uff0c\u5982\u524d\u9762\u63d0\u5230\u7684 R_x(\u03b8)\u3001R_y(\u03b8)\u3001R_z(\u03b8)\u3002<\/p>\n\n\n\n<p id=\"1386\">\u7b80\u5355\u5730\u8bf4\uff0c\u91cf\u5b50\u7b97\u6cd5\u5c31\u50cf\u662f\u91cf\u5b50\u8ba1\u7b97\u673a\u7684\u9010\u6b65\u6307\u4ee4\uff0c\u800c\u91cf\u5b50\u7535\u8def\u5219\u76f4\u89c2\u5730\u8868\u793a\u8fd9\u4e9b\u6b65\u9aa4\u3002\u53d8\u5206\u91cf\u5b50\u7535\u8def\u901a\u8fc7\u53c2\u6570\u5316\u95e8\u5f15\u5165\u4e86\u4e00\u79cd\u7279\u6b8a\u7684\u7075\u6d3b\u6027\uff0c\u5141\u8bb8\u6839\u636e\u7279\u5b9a\u503c\uff08\u7528 \u03b8 \u8868\u793a\uff09\u8fdb\u884c\u5b9a\u5236\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"8819\"><strong>2.3 \u91cf\u5b50\u673a\u5668\u5b66\u4e60<\/strong><\/h3>\n\n\n\n<p id=\"4850\">QML \u7684\u4e3b\u8981\u76ee\u6807\u662f\u8bbe\u8ba1\u548c\u90e8\u7f72\u80fd\u591f\u5728\u91cf\u5b50\u8ba1\u7b97\u673a\u4e0a\u8fd0\u884c\u7684\u65b9\u6cd5\uff0c\u4ee5\u89e3\u51b3\u7ecf\u5178\u673a\u5668\u5b66\u4e60\u4e2d\u9047\u5230\u7684\u4f20\u7edf\u76d1\u7763\u3001\u65e0\u76d1\u7763\u548c\u5f3a\u5316\u5b66\u4e60\u4efb\u52a1\u3002<\/p>\n\n\n\n<p id=\"c612\">QML \u7684\u4e0e\u4f17\u4e0d\u540c\u4e4b\u5904\u5728\u4e8e\u5b83\u5229\u7528\u91cf\u5b50\u8ba1\u7b97\uff08QC\uff09\u56fa\u6709\u7684\u53e0\u52a0\u3001\u96a7\u9053\u3001\u7ea0\u7f20\u548c\u91cf\u5b50\u5e76\u884c\u7b49\u72ec\u7279\u529f\u80fd\uff0c\u8fdb\u884c\u91cf\u5b50\u64cd\u4f5c\u3002\u5728\u6211\u4eec\u7684\u7814\u7a76\u4e2d\uff0c\u6211\u4eec\u7279\u522b\u5173\u6ce8\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\uff08QNN\uff09\u7684\u8bbe\u8ba1\u3002\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u662f\u7ecf\u5178\u795e\u7ecf\u7f51\u7edc\u7684\u91cf\u5b50\u5bf9\u5e94\u7269\u3002<\/p>\n\n\n\n<p id=\"ba37\">\u7ec6\u5206\u8d77\u6765\uff0cQNN \u7684\u6bcf\u4e00\u5c42\u90fd\u662f\u4e00\u4e2a\u53d8\u91cf\u91cf\u5b50\u7535\u8def (VQC)\uff0c\u7531\u53c2\u6570\u5316\u7684\u95e8\u7ec4\u6210\u3002\u8fd9\u4e9b\u53c2\u6570\u76f8\u5f53\u4e8e\u7ecf\u5178\u795e\u7ecf\u7f51\u7edc\u4e2d\u7684\u6743\u91cd\u3002\u6b64\u5916\uff0c\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u8fd8\u5305\u542b\u4e00\u79cd\u5728\u73b0\u6709\u91cf\u5b50\u4f4d\u4e4b\u95f4\u4ea4\u6362\u4fe1\u606f\u7684\u673a\u5236\uff0c\u7c7b\u4f3c\u4e8e\u7ecf\u5178\u7f51\u7edc\u4e2d\u4e0d\u540c\u5c42\u795e\u7ecf\u5143\u4e4b\u95f4\u7684\u8fde\u63a5\u3002\u901a\u5e38\uff0c\u8fd9\u79cd\u4fe1\u606f\u4ea4\u6362\u662f\u901a\u8fc7\u7ea0\u7f20\u5b9e\u73b0\u7684\uff0c\u91c7\u7528\u7684\u7b97\u5b50\u5305\u62ec CNOT \u95e8\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\" id=\"7441\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/0*ivKaEFXqi6dVUiNG\" alt=\"\"\/><\/figure>\n\n\n\n<p id=\"ba79\">\u521b\u5efa\u91cf\u5b50\u673a\u5668\u5b66\u4e60\uff08QML\uff09\u6a21\u578b\u901a\u5e38\u9700\u8981\u51e0\u4e2a\u6b65\u9aa4\uff0c\u5982\u4e0a\u56fe\u6240\u793a\u3002\u9996\u5148\uff0c\u6211\u4eec\u5728\u7ecf\u5178 CPU \u4e0a\u52a0\u8f7d\u5e76\u9884\u5904\u7406\u6570\u636e\u96c6\u3002\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u4f7f\u7528\u91cf\u5b50\u5d4c\u5165\u6280\u672f\uff0c\u5728\u91cf\u5b50\u5904\u7406\u5355\u5143\uff08QPU\uff09\u6216\u91cf\u5b50\u786c\u4ef6\u4e0a\u5c06\u7ecf\u5178\u6570\u636e\u7f16\u7801\u4e3a\u91cf\u5b50\u6001\u3002\u4e00\u65e6\u7ecf\u5178\u6570\u636e\u4ee5\u91cf\u5b50\u6001\u8868\u793a\uff0c\u5c31\u4f1a\u6267\u884c\u5728\u89e3\u6790\u4e2d\u5b9e\u73b0\u7684\u6838\u5fc3\u6a21\u578b\uff0c\u5e76\u4f7f\u7528\u7ecf\u5178\u6bd4\u7279\u6d4b\u91cf\u7ed3\u679c\u3002\u6700\u540e\uff0c\u5982\u679c\u9700\u8981\uff0c\u6211\u4eec\u4f1a\u5728 CPU \u4e0a\u5bf9\u8fd9\u4e9b\u7ed3\u679c\u8fdb\u884c\u540e\u5904\u7406\uff0c\u4ee5\u83b7\u5f97\u9884\u671f\u7684\u6a21\u578b\u8f93\u51fa\u3002\u5728\u6211\u4eec\u7684\u7814\u7a76\u4e2d\uff0c\u6211\u4eec\u6309\u7167\u8fd9\u4e2a\u6574\u4f53\u6d41\u7a0b\u6765\u7814\u7a76\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u5728\u65f6\u95f4\u5e8f\u5217\u9884\u6d4b\u4e2d\u7684\u5e94\u7528\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"e76f\"><strong>2.4 \u91cf\u5b50\u795e\u7ecf\u7f51\u7edc<\/strong><\/h3>\n\n\n\n<p id=\"2e4e\">\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc (QNN) \u901a\u5e38\u7531\u4e09\u4e2a\u4e3b\u8981\u5c42\u7ec4\u6210\uff1a<\/p>\n\n\n\n<p id=\"852e\"><strong>1.\u8f93\u5165\u5c42\uff1a<\/strong>\u8be5\u5c42\u5c06\u7ecf\u5178\u8f93\u5165\u6570\u636e\u8f6c\u6362\u4e3a\u91cf\u5b50\u6001\u3002\u5b83\u4f7f\u7528\u5e26\u6709\u65cb\u8f6c\u548c\u53d7\u63a7\u65cb\u8f6c\u95e8\u7684\u53c2\u6570\u5316\u53d8\u5206\u7535\u8def\uff0c\u4e3a\u7ed9\u5b9a\u8f93\u5165\u51c6\u5907\u6240\u9700\u7684\u91cf\u5b50\u6001\u3002\u8fd9\u4e00\u6b65\u88ab\u79f0\u4e3a\u91cf\u5b50\u5d4c\u5165\uff0c\u91c7\u7528\u4e86\u57fa\u7f16\u7801\u3001\u632f\u5e45\u7f16\u7801\u3001\u54c8\u5bc6\u987f\u7f16\u7801\u6216\u5f20\u91cf\u4e58\u79ef\u7f16\u7801\u7b49\u6280\u672f\u3002<\/p>\n\n\n\n<p id=\"21af\"><strong>2.\u89e3\u6790\u5c42\uff1a<\/strong>\u8be5\u5c42\u662f QNN \u7684\u6838\u5fc3\uff0c\u5305\u542b\u4e00\u4e2a\u53d8\u91cf\u91cf\u5b50\u7535\u8def\uff0c\u91cd\u590d L \u6b21\u5373\u53ef\u7ecf\u5178\u5730\u6a21\u62df L \u4e2a\u7f51\u7edc\u5c42\u3002\u5b83\u8d1f\u8d23\u5904\u7406\u548c\u64cd\u4f5c\u91cf\u5b50\u4fe1\u606f\u3002<\/p>\n\n\n\n<p id=\"52a6\"><strong>3.\u8f93\u51fa\u5c42\uff1a<\/strong>\u8fd9\u4e00\u5c42\u5bf9\u6bd4\u7279\u8fdb\u884c\u6d4b\u91cf\uff0c\u63d0\u4f9b\u6700\u7ec8\u7684\u9884\u671f\u7ed3\u679c\u3002<\/p>\n\n\n\n<p id=\"f5e2\">\u5bf9\u4e8e\u8f93\u5165\u5c42\uff0c\u6211\u4eec\u91c7\u7528\u5f20\u91cf\u4e58\u79ef\u7f16\u7801\u6280\u672f\u3002\u8fd9\u6d89\u53ca\u4e3a\u6bcf\u4e2a\u91cf\u5b50\u6bd4\u7279\u8bbe\u7f6e\u4e00\u4e2a\u7b80\u5355\u7684 X \u65cb\u8f6c\u95e8\uff0c\u95e8\u53c2\u6570\u901a\u8fc7\u5c06\u7ecf\u5178\u6570\u636e\u7f29\u653e\u81f3 [-\u03c0, \u03c0] \u8303\u56f4\u6765\u8bbe\u7f6e\u3002\u867d\u7136\u8fd9\u662f\u4e00\u79cd\u5feb\u901f\u3001\u76f4\u63a5\u7684\u7f16\u7801\u65b9\u6cd5\uff08O(1) \u8fd0\u7b97\uff09\uff0c\u4f46\u5b83\u4e5f\u6709\u5c40\u9650\u6027\u3002\u6240\u9700\u7684\u91cf\u5b50\u6bd4\u7279\u6570\u4e0e\u8f93\u5165\u7684\u7ecf\u5178\u6570\u636e\u6210\u7ebf\u6027\u6bd4\u4f8b\u3002\u4e3a\u4e86\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\uff0c\u6211\u4eec\u5728\u8f93\u5165\u6570\u636e\u4e2d\u5f15\u5165\u4e86\u53ef\u5b66\u4e60\u7684\u7f29\u653e\u548c\u504f\u5dee\u53c2\u6570\uff0c\u589e\u5f3a\u4e86\u91cf\u5b50\u5d4c\u5165\u7684\u7075\u6d3b\u6027\u3002\u5728\u56fe 3 \u4e2d\uff0c\u60a8\u53ef\u4ee5\u770b\u5230\u4e00\u4e2a\u6709 3 \u4e2a\u91cf\u5b50\u6bd4\u7279\u7684\u7f51\u7edc\u7684\u8f93\u5165\u5c42\u793a\u4f8b\uff0c\u5176\u4e2d\u7ecf\u5178\u6570\u636e\u5177\u6709\u4ee5\u4e0b\u7279\u5f81\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\" id=\"bc96\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/0*HJILwqa433Ho5goU\" alt=\"\"\/><\/figure>\n\n\n\n<p id=\"723c\">\u8f93\u5165\u6bd4\u4f8b\u53c2\u6570\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\" id=\"5626\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/0*BmuGjFdhpXlCOCvy\" alt=\"\"\/><\/figure>\n\n\n\n<p id=\"12fd\">\u548c\u504f\u7f6e\u53c2\u6570\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\" id=\"225a\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/0*9m5ECDrkKTC7jlLv\" alt=\"\"\/><\/figure>\n\n\n\n<p id=\"f2dd\">\u5c31\u4f1a\u53d1\u6325\u4f5c\u7528\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\" id=\"3000\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/0*DMEIaWV9tfykfRVn\" alt=\"\"\/><\/figure>\n\n\n\n<p id=\"f12d\">\u5173\u4e8e\u516c\u5f0f\uff0c\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u4e0e\u7ecf\u5178\u795e\u7ecf\u7f51\u7edc\u4e0d\u540c\uff0c\u6587\u732e\u4e2d\u5e38\u89c1\u7684\u91cf\u5b50\u5c42\u7ed3\u6784\uff08\u5982\u5168\u8fde\u63a5\u5c42\u6216\u9012\u5f52\u5c42\uff09\u5e76\u4e0d\u662f\u56fa\u5b9a\u4e0d\u53d8\u7684\u3002\u91cf\u5b50\u6bd4\u7279\u4e4b\u95f4\u53ef\u80fd\u5b58\u5728\u7684\u91cf\u5b50\u4fe1\u606f\u4f20\u8f93\u95e8\u662f\u975e\u5e38\u5e7f\u6cdb\u7684\uff0c\u800c\u5982\u4f55\u4f18\u5316\u8fd9\u4e9b\u95e8\u7684\u7ec4\u7ec7\u4ee5\u5b9e\u73b0\u6709\u6548\u7684\u6570\u636e\u4f20\u8f93\u662f\u4e00\u4e2a\u5c1a\u672a\u88ab\u6df1\u5165\u63a2\u7d22\u7684\u9886\u57df\u3002<\/p>\n\n\n\n<p id=\"6cc7\">\u5728\u6211\u4eec\u7684\u9879\u76ee\u4e2d\uff0c\u6211\u4eec\u91c7\u7528\u4e86 &#8220;\u771f\u5b9e\u632f\u5e45&#8221;\uff08Real Amplitudes ansatz\uff09\uff0c\u8fd9\u4e00\u9009\u62e9\u7684\u7075\u611f\u6765\u81ea\u4e8e\u5b83\u5728\u91cf\u5b50\u5f3a\u5316\u5b66\u4e60\u548c\u5206\u7c7b\u7684\u7b56\u7565\u4f30\u8ba1\u7b49\u591a\u4e2a\u9886\u57df\u7684\u6210\u529f\u5e94\u7528\u3002\u8be5\u65b9\u6848\u9996\u5148\u91c7\u7528\u5168\u65cb\u8f6c X\/Y\/Z \u53c2\u6570\u5316\u95e8\uff0c\u7c7b\u4f3c\u4e8e\u91cf\u5b50\u7248\u7684\u8fde\u63a5\u6743\u91cd\u3002\u7136\u540e\u662f\u4e00\u7cfb\u5217\u4ee5\u73af\u5f62\u7ed3\u6784\u6392\u5217\u7684 CNOT \u95e8\uff0c\u4ee5\u4fc3\u8fdb\u91cf\u5b50\u6bd4\u7279\u4fe1\u606f\u7684\u4f20\u8f93\u3002\u56fe 4 \u76f4\u89c2\u5730\u5c55\u793a\u4e86\u8fd9\u4e00\u6784\u60f3\u662f\u5982\u4f55\u5b9e\u73b0\u7684\uff0c\u76f8\u5f53\u4e8e 3 \u91cf\u5b50\u6bd4\u7279\u7f51\u7edc\u7684\u91cf\u5b50\u7f51\u7edc\u5c42\u3002<\/p>\n\n\n\n<p id=\"5461\">\u7ec6\u5206\u800c\u8a00\uff0c\u6211\u4eec\u5de5\u4f5c\u4e2d\u7684\u91cf\u5b50\u7f51\u7edc\u5c42\u6d89\u53ca\u4e00\u7ec4\u53c2\u6570\uff0c\u53c2\u6570\u603b\u6570\u662f\u91cf\u5b50\u6bd4\u7279\u6570\u7684 3 \u500d\uff083*n\uff09\uff0c\u5176\u4e2d &#8220;n &#8220;\u4ee3\u8868\u91cf\u5b50\u7f51\u7edc\u4e2d\u7684\u91cf\u5b50\u6bd4\u7279\u6570\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\" id=\"c9b0\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/0*tk6t1jKXPHMCOcOy\" alt=\"\"\/><\/figure>\n\n\n\n<p id=\"1f9a\">\u73b0\u5728\uff0c\u8ba9\u6211\u4eec\u6765\u8c08\u8c08\u8f93\u51fa\u5c42\uff0c\u5b83\u662f\u6211\u4eec\u91cf\u5b50\u6a21\u578b\u7684\u5173\u952e\u90e8\u5206\u3002\u5728\u91cf\u5b50\u8ba1\u7b97\u4e2d\uff0c\u5f53\u6211\u4eec\u60f3\u4ece\u91cf\u5b50\u6001\u4e2d\u63d0\u53d6\u4fe1\u606f\u65f6\uff0c\u901a\u5e38\u4f1a\u4f7f\u7528\u9009\u5b9a\u7684\u53ef\u89c2\u6d4b\u91cf\u8fdb\u884c\u6d4b\u91cf\u3002\u8ba1\u7b97\u57fa\u7840\u4e0a\u7684\u03c3_z\u7b97\u5b50\u5c31\u662f\u8fd9\u6837\u4e00\u79cd\u5e38\u7528\u7684\u89c2\u6d4b\u6307\u6807\u3002\u8981\u7406\u89e3\u8fd9\u4e00\u70b9\uff0c\u53ef\u4ee5\u5c06\u5176\u89c6\u4e3a\u4ece\u91cf\u5b50\u6001\u4e2d\u63d0\u53d6\u4fe1\u606f\u7684\u4e00\u79cd\u65b9\u6cd5\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\" id=\"d7e6\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/0*CVVmOyGW0Wb_oP7V\" alt=\"\"\/><\/figure>\n\n\n\n<p id=\"0525\">\u7f51\u7edc\u8f93\u51fa\u662f\u901a\u8fc7\u8ba1\u7b97\u91cf\u5b50\u6001\u7684\u671f\u671b\u503c\u6765\u786e\u5b9a\u7684\u3002\u8fd9\u8868\u793a\u4e3a\u27e8\u03c8|\u03c3_z|\u03c8\u27e9\uff0c\u5176\u4e2d\u27e8\u03c8|\u8868\u793a|\u03c8\u27e9\u7684\u590d\u5171\u8f6d\u3002\u7ed3\u679c\u5728 [-1, 1] \u8303\u56f4\u5185\u3002<\/p>\n\n\n\n<p id=\"43d4\">\u4e0d\u7528\u518d\u4e3a\u90a3\u4e9b\u590d\u6742\u7684\u6570\u5b66\u516c\u5f0f\u800c\u7d27\u5f20&#8211;\u6211\u4eec\u503c\u5f97\u4fe1\u8d56\u7684\u5e93 Qiskit \u5df2\u7ecf\u5e2e\u6211\u4eec\u89e3\u51b3\u4e86\u8fd9\u4e2a\u95ee\u9898\uff01Qiskit \u53ef\u4ee5\u65e0\u7f1d\u5904\u7406\u6240\u6709\u590d\u6742\u7684\u91cf\u5b50\u8ba1\u7b97\uff0c\u8ba9\u6211\u4eec\u66f4\u5bb9\u6613\u7406\u89e3\u91cf\u5b50\u8ba1\u7b97\u8fc7\u7a0b\u3002\u56e0\u6b64\uff0c\u4f60\u53ef\u4ee5\u4e13\u6ce8\u4e8e\u63a2\u7d22\u91cf\u5b50\u4e16\u754c\uff0c\u800c\u4e0d\u5fc5\u88ab\u7e41\u7410\u7684\u6570\u5b66\u95ee\u9898\u6240\u56f0\u6270<\/p>\n\n\n\n<p id=\"9ec1\">\u73b0\u5728\uff0c\u4e3a\u4e86\u4f7f\u6211\u4eec\u7684\u7f51\u7edc\u8f93\u51fa\u5bf9\u6570\u636e\u96c6\u56fa\u6709\u7684\u504f\u5dee\u548c\u89c4\u6a21\u4e0d\u90a3\u4e48\u654f\u611f\uff0c\u6211\u4eec\u5f15\u5165\u4e86\u6700\u7ec8\u89c4\u6a21\u53c2\u6570\u548c\u9700\u8981\u5b66\u4e60\u7684\u504f\u5dee\u3002\u8fd9\u4e00\u6b65\u9aa4\u4e3a\u6211\u4eec\u7684\u6a21\u578b\u589e\u52a0\u4e86\u4e00\u5c42\u9002\u5e94\u6027\uff0c\u4f7f\u5176\u80fd\u591f\u6839\u636e\u6570\u636e\u7684\u5177\u4f53\u7279\u5f81\u5bf9\u8f93\u51fa\u8fdb\u884c\u5fae\u8c03\u548c\u8c03\u6574\u3002\u6574\u4e2a\u6a21\u578b\u67b6\u6784\u5982\u4e0b\u56fe\u6240\u793a\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\" id=\"ea0a\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/0*sliAJG3IMDiwOrDj\" alt=\"\"\/><\/figure>\n\n\n\n<p id=\"e8c4\">\u6211\u4eec\u63d0\u51fa\u7684\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\uff08QNN\uff09\u7684\u8bad\u7ec3\u662f\u5728\u666e\u901a CPU \u4e0a\u4f7f\u7528\u4e9a\u5f53\u4f18\u5316\u5668\u7b49\u7ecf\u5178\u7b97\u6cd5\u8fdb\u884c\u7684\u3002\u4e2d\u592e\u5904\u7406\u5668\u901a\u8fc7\u4f20\u7edf\u7684\u4f20\u64ad\u89c4\u5219\u5904\u7406\u68af\u5ea6\u8ba1\u7b97\uff0c\u800c\u5728\u91cf\u5b50\u5904\u7406\u5355\u5143\uff08QPU\uff09\u4e0a\uff0c\u6211\u4eec\u4f7f\u7528\u53c2\u6570\u79fb\u52a8\u89c4\u5219\u8ba1\u7b97\u68af\u5ea6\u3002\u8fd9\u6709\u70b9\u50cf\u53cc\u7cfb\u7edf\uff0c\u4e2d\u592e\u5904\u7406\u5668\u7ba1\u7406\u4e3b\u8981\u7684\u8bad\u7ec3\uff0c\u800c QPU \u5219\u5728\u7279\u5b9a\u7684\u91cf\u5b50\u8ba1\u7b97\u4e2d\u53d1\u6325\u4f5c\u7528\u3002<\/p>\n\n\n\n<p id=\"7c8f\">\u56fe 6 \u5c55\u793a\u4e86\u8bad\u7ec3\u8fc7\u7a0b\u6d41\u6c34\u7ebf\uff0c\u5176\u4e2d \u03b8\u00b9 \u4ee3\u8868\u8f93\u5165\u5c42\u7684\u6807\u5ea6\/\u504f\u7f6e\u53c2\u6570\uff0c\u03b8\u00b2 \u5bf9\u5e94\u5305\u542b\u7b49\u5f0f\u7684\u5404\u5c42\u53c2\u6570\uff0c\u03b8\u00b3 \u662f\u7f51\u7edc\u8f93\u51fa\u7684\u6807\u5ea6\/\u504f\u7f6e\u53c2\u6570\u3002\u8fd9\u79cd\u534f\u8c03\u786e\u4fdd\u4e86\u5229\u7528\u7ecf\u5178\u548c\u91cf\u5b50\u8ba1\u7b97\u8d44\u6e90\u7684\u5185\u805a\u8bad\u7ec3\u65b9\u6cd5\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\" id=\"f928\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/0*uTNB7i1l0tv9ZpBh\" alt=\"\"\/><\/figure>\n\n\n\n<p id=\"576c\">\u7531\u4e8e\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\uff08QNN\uff09\u662f\u4e00\u79cd\u524d\u9988\u6a21\u578b\uff0c\u6211\u4eec\u9996\u5148\u8981\u5b9a\u4e49\u4e00\u4e2a\u65f6\u95f4\u8de8\u5ea6\uff0c\u7528 T \u8868\u793a\u3002\u5728\u8fd9\u91cc\uff0c\u76ee\u6807\u662f\u65f6\u95f4 t \u65f6\u7684\u65f6\u95f4\u5e8f\u5217\u503c\uff0c\u8bb0\u4e3a x(t)\uff0c\u800c\u8f93\u5165\u5219\u5305\u62ec x(t-1)\u3001x(t-2)\u3001&#8230;&#8230;\u3001x(t-T)\u3002\u8fd9\u79cd\u7ed3\u6784\u8c03\u6574\u6709\u52a9\u4e8e\u6a21\u578b\u7406\u89e3\u6570\u636e\u4e2d\u7684\u65f6\u95f4\u5173\u7cfb\uff0c\u4f7f\u5176\u80fd\u591f\u6839\u636e\u8fc7\u53bb\u7684\u503c\u8fdb\u884c\u9884\u6d4b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"b84b\"><br><strong>\u4e09\u3001\u7528 Qiskit \u521b\u5efa QNN<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"7a9e\"><br><strong>3.1 \u63d0\u53d6\u6570\u636e\u548c\u6570\u636e\u9884\u5904\u7406<\/strong><\/h3>\n\n\n\n<p id=\"2025\">\u9996\u5148\uff0c\u6211\u4eec\u4f7f\u7528 Financial Modeling Prep \u63d0\u4f9b\u7684\u5386\u53f2\u6570\u636e API \u7aef\u70b9\u83b7\u53d6\u6570\u636e\uff0c\u5982\u4e0b\u6240\u793a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>api_url = \"https:\/\/financialmodelingprep.com\/api\/v3\/historical-price-full\/AAPL?apikey=YOUR API KEY\"\n\n# Make a GET request to the API\nresponse = requests.get(api_url)\n\n# Check if the request was successful (status code 200)\nif response.status_code == 200:\n    # Parse the response JSON\n    data = response.json()\nelse:\n    print(f\"Error: Unable to fetch data. Status code: {response.status_code}\")\n\ndf = pd.json_normalize(data, 'historical', &#91;'symbol']) #convert into a datframe\ndf.tail()<\/code><\/pre>\n\n\n\n<p id=\"1f94\">\u8f93\u51fa\u7ed3\u679c\u662f\u4e00\u4e2a Pandas \u6570\u636e\u6846\u67b6\uff0c\u770b\u8d77\u6765\u50cf\u8fd9\u6837\uff08\u5728\u6b64\u4e4b\u524d\uff0c\u8bf7\u786e\u4fdd\u7528\u60a8\u7684\u79d8\u5bc6 API \u5bc6\u94a5\u66ff\u6362\u60a8\u7684 API \u5bc6\u94a5\uff09\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\" id=\"2f82\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/1*iSS72vEXGZ-nah2vv86eBA.png\" alt=\"\" style=\"width:645px;height:auto\"\/><\/figure>\n\n\n\n<p id=\"0bdc\">\u4ece\u8fd9\u4e9b\u5927\u91cf\u6570\u636e\u4e2d\uff0c\u6211\u4eec\u5c06\u4f7f\u7528\u5f00\u76d8\u4ef7\u4f5c\u4e3a\u65f6\u95f4\u53d8\u91cf\uff0c\u6211\u4eec\u5c06\u4f7f\u7528 500 \u4e2a\u6570\u636e\u70b9\uff0c\u6bcf\u4e2a\u6570\u636e\u70b9\u4ee3\u8868\u6bcf\u65e5\u5f00\u76d8\u4ef7\uff0c\u6211\u4eec\u7684\u9884\u6d4b\u7a97\u53e3\u5927\u5c0f\u4e3a 2\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>final_data = df&#91;&#91;'open', 'date']]&#91;0:500] #forming filtered dataframe\ninput_sequences = &#91;]\nlabels = &#91;]\n\n#Creating input and output data for time series forecasting\nfor i in range(len(final_data&#91;'open'])):\n    if i &gt; 1:\n        labels.append(final_data&#91;'open']&#91;i])\n        input_sequences.append(final_data&#91;'open']&#91;i-2:i+1].tolist())\n        \n#creating train test split\nx_train = np.array(input_sequences&#91;0:400])\nx_test = np.array(input_sequences&#91;400:])\ny_train = np.array(labels&#91;0:400])\ny_test = np.array(labels&#91;400:])<\/code><\/pre>\n\n\n\n<p id=\"0327\">\u73b0\u5728\uff0c\u8ba9\u6211\u4eec\u7ed8\u5236\u83b7\u5f97\u7684\u6570\u636e\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>import matplotlib.pyplot as plt\nplt.style.use('ggplot')\n\n# Convert the 'date' column to datetime format\ndf&#91;'date'] = pd.to_datetime(df&#91;'date'])\n\n# Plotting the time series data\nplt.figure(figsize=(10, 6))\nplt.plot(df&#91;'date']&#91;0:500], df&#91;'open']&#91;0:500], marker='o', linestyle='-')\n\n# Adding labels and title\nplt.xlabel('date')\nplt.ylabel('open')\nplt.title('Time Series Data')\n\n# Display the plot\nplt.grid(True)\nplt.show()<\/code><\/pre>\n\n\n\n<p id=\"f2cb\">\u4ee5\u4e0b\u662f\u8f93\u51fa\u7ed3\u679c\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\" id=\"6b09\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/1*o0O8b_jZQY9IXB-nL-cfEw.png\" alt=\"\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"3f19\"><br><strong>3.2 \u91cf\u5b50\u795e\u7ecf\u7f51\u7edc<\/strong><\/h3>\n\n\n\n<p id=\"4bb0\"><strong>Pauli Feature Map:<\/strong><br><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>num_features =  2\nfeature_map = PauliFeatureMap(feature_dimension = num_features, reps = 2)\noptimizer = ADAM(maxiter = 100)<\/code><\/pre>\n\n\n\n<p id=\"a855\">\u5728\u6211\u4eec\u7684\u65b9\u6cd5\u4e2d\uff0c\u6211\u4eec\u5229\u7528\u4fdd\u5229\u7279\u5f81\u56fe\u5c06\u6570\u636e\u7f16\u7801\u6210\u91cf\u5b50\u6bd4\u7279\uff0c\u7279\u522b\u662f\u5229\u7528 2 \u4e2a\u7279\u5f81\u3002\u7f16\u7801\u7535\u8def\u7684\u7ed3\u6784\u5982\u4e0b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image\" id=\"6876\"><img decoding=\"async\" src=\"https:\/\/cdn-images-1.readmedium.com\/v2\/resize:fit:800\/0*ZY5-4i_TV-qPj4P-\" alt=\"\"\/><\/figure>\n\n\n\n<p id=\"59d8\">\u6b64\u5916\uff0c\u4e3a\u4e86\u4f18\u5316\u6211\u4eec\u7684\u6a21\u578b\uff0c\u6211\u4eec\u4f7f\u7528\u4e86 ADAM \u4f18\u5316\u5668\u3002\u8fd9\u4e00\u9009\u62e9\u6709\u52a9\u4e8e\u5fae\u8c03\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u7684\u53c2\u6570\uff0c\u4ece\u800c\u63d0\u9ad8\u5176\u6574\u4f53\u6027\u80fd\u3002<\/p>\n\n\n\n<p id=\"a954\"><strong>\u91cf\u5b50\u7535\u8def\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>def ans(n, depth):\n    qc = QuantumCircuit(n)\n    for j in range(depth):\n        for i in range(n):\n            param_name = f'theta_{j}_{i}'\n            theta_param = Parameter(param_name)\n            qc.rx(theta_param, i)\n            qc.ry(theta_param, i)\n            qc.rz(theta_param, i)\n    for i in range(n):\n        if i == n-1:\n            qc.cnot(i, 0)\n        else:\n            qc.cnot(i, i+1)\n    return qc<\/code><\/pre>\n\n\n\n<p id=\"2cce\">\u8be5\u51fd\u6570\u521d\u59cb\u5316\u91cf\u5b50\u7535\u8def\uff0c\u91cf\u5b50\u6bd4\u7279\u6570\u7b49\u4e8e\u7279\u5f81\u6570\u3002\u5728\u7b2c\u4e00\u4e2a\u5faa\u73af\u4e2d\uff0c\u5b83\u5c06\u65cb\u8f6c\u95e8\u6dfb\u52a0\u5230\u7535\u8def\u4e2d\uff0c\u6bcf\u4e2a\u65cb\u8f6c\u95e8\u90fd\u6709\u53c2\u6570\u5316\u7684\u65cb\u8f6c\u89d2\u5ea6\u3002\u7b2c\u4e8c\u4e2a\u5faa\u73af\u5c06 CNOT \u95e8\u6dfb\u52a0\u5230\u7535\u8def\u4e2d\u3002\u6bcf\u6b21\u8fed\u4ee3\u65f6\uff0c\u90fd\u4f1a\u6dfb\u52a0\u4e00\u4e2a CNOT \u95e8\uff0c\u5c06\u5f53\u524d\u7684\u91cf\u5b50\u6bd4\u7279\u4f5c\u4e3a\u63a7\u5236\u6bd4\u7279\uff08\u7b2c 0 \u4e2a\u91cf\u5b50\u6bd4\u7279\uff09\uff0c\u76ee\u6807\u91cf\u5b50\u6bd4\u7279\u7531\u5faa\u73af\u7d22\u5f15\u51b3\u5b9a\u3002\u6b64\u5916\uff0c\u8fd8\u4f1a\u6dfb\u52a0\u53e6\u4e00\u4e2a CNOT \u95e8\uff0c\u5c06\u5f53\u524d\u7684\u91cf\u5b50\u4f4d\u4f5c\u4e3a\u63a7\u5236\u4f4d\uff0c\u5c06\u4e0b\u4e00\u4e2a\u91cf\u5b50\u4f4d\u4f5c\u4e3a\u76ee\u6807\u4f4d\u3002<\/p>\n\n\n\n<p id=\"c5d5\">\u8fd9\u4e2a\u8fc7\u7a0b\u4e3a\u6211\u4eec\u7684\u91cf\u5b50\u7535\u8def\u6784\u5efa\u4e86\u53cd\u6f14\uff0c\u672c\u8d28\u4e0a\u5c31\u662f\u521b\u5efa\u4e86\u6211\u4eec\u4e4b\u524d\u5b9a\u4e49\u7684\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u7ed3\u6784\u3002\u8be5\u7535\u8def\u7684\u793a\u610f\u56fe\u5df2\u5728\u524d\u9762\u4ecb\u7ecd\u8fc7\uff0c\u4ee5\u4f9b\u53c2\u8003\u3002<\/p>\n\n\n\n<p id=\"0dac\"><strong>\u542f\u52a8 Anstaz \u7535\u8def\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>ansatz = ans(num_features, 5) #anstaz(num_qubits=num_features, reps=5)\n\n#creating train test split\nx_train = np.array(input_sequences&#91;0:400])\nx_test = np.array(input_sequences&#91;400:])\ny_train = np.array(labels&#91;0:400])\ny_test = np.array(labels&#91;400:])<\/code><\/pre>\n\n\n\n<p id=\"f9bb\">\u73b0\u5728\uff0c\u6211\u4eec\u7ee7\u7eed\u521b\u5efa\u4e00\u4e2a\u53d8\u5206\u91cf\u5b50\u7535\u8def\uff08VQC\uff09\uff0c\u5b83\u53ef\u4ee5\u4f5c\u4e3a\u795e\u7ecf\u7f51\u7edc\u8fd0\u884c\u3002\u5728\u8fd9\u4e2a\u7535\u8def\u4e2d\uff0c\u6211\u4eec\u65e2\u5305\u542b\u4e86\u5b9a\u4e49\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u7ed3\u6784\u7684ansatz\uff0c\u4e5f\u5305\u542b\u4e86\u6211\u4eec\u7684\u7279\u5f81\u7f16\u7801\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u4ece qiskit_machine_learning.classifiers \u4e2d\u5bfc\u5165\u4e86 VQC \u6a21\u5757\u3002VQC \u5c01\u88c5\u4e86\u6211\u4eec\u795e\u7ecf\u7f51\u7edc\u7684\u91cf\u5b50\u5904\u7406\u65b9\u9762\uff0c\u5b83\u4e0e Qiskit \u7684\u96c6\u6210\u7b80\u5316\u4e86\u91cf\u5b50\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u7684\u5b9e\u73b0\u3002<\/p>\n\n\n\n<p id=\"707c\"><strong>VQC:<\/strong><br><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>vqr = VQR(\n    feature_map = feature_map,\n    ansatz = ansatz,\n    optimizer = optimizer,\n)\n\nvqr.fit(x_train,y_train)\nvqr_mse = mean_squared_error(y_test, vqr.predict(x_test))\n\n# Calculate root mean squared error\nvqr_rmse = np.sqrt(vqr_mse)<\/code><\/pre>\n\n\n\n<p id=\"c617\">\u5728\u6700\u540e\u4e00\u6b65\uff0c\u6211\u4eec\u5c06\u53d8\u5f02\u91cf\u5b50\u56de\u8def\uff08VQC\uff09\u4e0e\u6211\u4eec\u7684\u7279\u5f81\u8fdb\u884c\u62df\u5408\u3002\u8fd9\u5305\u62ec\u5728\u6211\u4eec\u7684\u6570\u636e\u96c6\u4e0a\u8bad\u7ec3\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u3002\u62df\u5408\u5b8c\u6210\u540e\uff0c\u6211\u4eec\u901a\u8fc7\u8ba1\u7b97\u5747\u503c\u8bef\u5dee\u548c\u5747\u503c\u6839\u8bef\u5dee\u6765\u8bc4\u4f30\u5176\u6027\u80fd\u3002\u8fd9\u4e00\u8bc4\u4f30\u6b65\u9aa4\u6709\u52a9\u4e8e\u6211\u4eec\u8861\u91cf\u53d8\u5f02\u91cf\u5b50\u56de\u8def\u5728\u5904\u7406\u7ed9\u5b9a\u7279\u5f81\u548c\u9884\u6d4b\u7ed3\u679c\u65b9\u9762\u7684\u51c6\u786e\u6027\u548c\u6709\u6548\u6027\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"e4e3\"><br><strong>3.3 \u7ecf\u5178\u795e\u7ecf\u7f51\u7edc<\/strong><\/h3>\n\n\n\n<p id=\"1ff0\">\u73b0\u5728\uff0c\u8ba9\u6211\u4eec\u6784\u5efa\u4e00\u4e2a\u7b80\u5355\u7684\u7ecf\u5178\u795e\u7ecf\u7f51\u7edc\uff0c\u4f5c\u4e3a\u4e0e\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u8fdb\u884c\u6bd4\u8f83\u7684\u57fa\u51c6\u3002\u6211\u4eec\u9009\u62e9\u7684\u67b6\u6784\u5c06\u662f\u4e00\u4e2a\u7b80\u5355\u7684\u591a\u5c42\u611f\u77e5\u5668\uff08MLP\uff09\uff0c\u5b83\u53ea\u6709\u4e00\u4e2a\u9690\u85cf\u5c42\uff0c\u914d\u5907 64 \u4e2a\u8282\u70b9\u3002\u8fd9\u4e2a\u7ecf\u5178\u795e\u7ecf\u7f51\u7edc\u5c06\u4e3a\u6211\u4eec\u63d0\u4f9b\u4e00\u4e2a\u53c2\u8003\u70b9\uff0c\u6211\u4eec\u53ef\u4ee5\u6839\u636e\u5b83\u6765\u8bc4\u4f30\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u7684\u6027\u80fd\u3002<\/p>\n\n\n\n<p id=\"ee69\"><strong>\u53e4\u5178 ANN\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>model = Sequential()\nmodel.add(Dense(64,activation = 'relu', input_shape = (4,)))\nmodel.add(Dense(1))\n\nmodel.compile(optimizer = 'adam', loss = 'mean_squared_error')\n\nmodel.fit(x_train, y_train, epochs = 20, batch_size = 32, validation_data = (x_test,y_test))\n\nloss = model.evaluate(x_test, y_test)\nprediction = model.predict(x_test)\n\nann_mse = mean_squared_error(y_test, prediction.flatten())\nann_rmse = np.sqrt(ann_mse)<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"f05b\"><br><strong>\u56db\u3001\u7ed3\u679c\u4e0e\u6bd4\u8f83<\/strong><\/h2>\n\n\n\n<p id=\"5906\"><strong>\u7ed3\u679c\u5982\u4e0b\uff1a<\/strong> 1)QNN\uff1a&lt; 3.5 rmse 2)ann: &gt; 3.6 rmse<\/p>\n\n\n\n<p id=\"299e\">\u5728\u8fd9\u6b21\u8bc4\u4f30\u4e2d\uff0c\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\uff08QNN\uff09\u7684\u8868\u73b0\u660e\u663e\u4f18\u4e8e\u4eba\u5de5\u795e\u7ecf\u7f51\u7edc\uff08ANN\uff09\uff0c\u663e\u793a\u4e86\u5176\u524d\u666f\u3002\u4e0d\u8fc7\uff0c\u5fc5\u987b\u627f\u8ba4\u7684\u662f\uff0c\u83b7\u5f97\u7684\u5747\u65b9\u6839\u8bef\u5dee\uff08RMSE\uff09\u503c\u53ef\u80fd\u8fbe\u4e0d\u5230\u9884\u671f\u7684\u6ee1\u610f\u5ea6\u3002\u672c\u5b9e\u9a8c\u7684\u4e3b\u8981\u76ee\u7684\u662f\u7a81\u51fa\u91cf\u5b50\u8ba1\u7b97\u7684\u6f5c\u529b\uff0c\u5c55\u793a\u5176\u751f\u6210\u5353\u8d8a\u7ed3\u679c\u548c\u6784\u5efa\u9002\u7528\u4e8e\u5546\u4e1a\u7528\u9014\u7684\u6a21\u578b\u7684\u80fd\u529b\u3002<\/p>\n\n\n\n<p id=\"1344\">\u672c\u7814\u7a76\u9884\u8ba1\uff0c\u968f\u7740\u91cf\u5b50\u8ba1\u7b97\u673a\u4e0d\u65ad\u8fdb\u6b65\uff0c\u5728\u6709\u6548\u8bad\u7ec3\u8fd9\u4e9b\u6a21\u578b\u65b9\u9762\u8fbe\u5230\u66f4\u9ad8\u7684\u9c81\u68d2\u6027\u6c34\u5e73\uff0c\u5728\u4e0d\u4e45\u7684\u5c06\u6765\uff0c\u8be5\u6280\u672f\u5728\u73b0\u5b9e\u4e16\u754c\u7684\u5e94\u7528\u5c06\u9010\u6b65\u53d8\u5f97\u66f4\u52a0\u5b9e\u7528\u3002<\/p>\n\n\n\n<p id=\"4016\"><br>\u5728\u8fd9\u4e9b\u53d1\u73b0\u7684\u57fa\u7840\u4e0a\uff0c\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\uff08QNN\uff09\u663e\u7136\u6709\u671b\u5f97\u5230\u8fdb\u4e00\u6b65\u53d1\u5c55\u548c\u5b9e\u9645\u5e94\u7528\u3002\u867d\u7136\u76ee\u524d\u7684\u65f6\u95f4\u5e8f\u5217\u9884\u6d4b\u57fa\u51c6\u53ef\u80fd\u4f18\u4e8e QNN\uff0c\u4f46\u4ecd\u6709\u5f88\u5927\u7684\u6539\u8fdb\u6f5c\u529b\u3002\u89e3\u51b3\u5f53\u524d\u7684\u5c40\u9650\u6027\u662f\u53ef\u4ee5\u9884\u89c1\u7684\uff0c\u7279\u522b\u662f\u968f\u7740\u91cf\u5b50\u8ba1\u7b97\u7684\u4e0d\u65ad\u8fdb\u6b65\u3002\u6210\u529f\u5f00\u53d1\u51fa\u5f3a\u5927\u7684\u91cf\u5b50\u8ba1\u7b97\u673a\uff0c\u5c06\u4e3a\u5728\u65f6\u95f4\u5e8f\u5217\u9884\u6d4b\u9886\u57df\u53d6\u5f97\u66f4\u5353\u8d8a\u7684\u6210\u679c\u6253\u5f00\u4e00\u6247\u5927\u95e8\u3002<\/p>\n\n\n\n<p id=\"676c\"><strong>\u6ce8\uff1a<\/strong>\u6211\u5c55\u793a\u4e86\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc (QNN) \u548c\u7ecf\u5178\u795e\u7ecf\u7f51\u7edc (CNN) \u7684\u57fa\u672c\u6f14\u793a\uff0c\u4ee5\u8bf4\u660e\u5b83\u4eec\u7684\u6784\u9020\u5e76\u7a81\u51fa\u7ed3\u679c\u7684\u5dee\u5f02\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f\uff0c\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u53ef\u80fd\u4f1a\u51fa\u73b0\u5dee\u5f02\uff0c\u56e0\u6b64\u8bf7\u968f\u610f\u8c03\u6574\u6240\u63d0\u4f9b\u7684\u793a\u4f8b\uff0c\u4ee5\u66f4\u597d\u5730\u9002\u5e94\u60a8\u7684\u5177\u4f53\u4f7f\u7528\u60c5\u51b5\u3002\u8bf7\u5bf9\u4ee3\u7801\u548c\u53c2\u6570\u8fdb\u884c\u76f8\u5e94\u8c03\u6574\uff0c\u4ee5\u4f18\u5316\u6027\u80fd\uff0c\u5e76\u89e3\u51b3\u5728\u4e3a\u60a8\u7684\u7279\u5b9a\u5e94\u7528\u5b9e\u65bd\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u65f6\u53ef\u80fd\u51fa\u73b0\u7684\u4efb\u4f55\u96be\u9898\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9f4b\"><br><strong>\u4e94\u3001\u7ed3\u8bba<\/strong><\/h2>\n\n\n\n<p id=\"2d07\">\u603b\u4e4b\uff0c\u672c\u9879\u76ee\u63a2\u7d22\u4e86\u91cf\u5b50\u8ba1\u7b97\u548c\u795e\u7ecf\u7f51\u7edc\u7684\u521b\u5efa\uff0c\u7a81\u51fa\u4e86\u5176\u672a\u6765\u7684\u53d1\u5c55\u6f5c\u529b\u3002\u968f\u7740\u6280\u672f\u7684\u8fdb\u6b65\uff0c\u6211\u4eec\u6709\u673a\u4f1a\u5229\u7528\u91cf\u5b50\u8ba1\u7b97\u673a\u5f00\u53d1\u66f4\u590d\u6742\u7684\u91cf\u5b50\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u3002\u8fd9\u4e9b\u7cfb\u7edf\u53ef\u4ee5\u5927\u5927\u7f29\u77ed\u8bad\u7ec3\u65f6\u95f4\uff0c\u53d7\u76ca\u4e8e\u91cf\u5b50\u6bd4\u7279\u7684\u6548\u7387\uff0c\u5e76\u80fd\u5728\u7535\u8def\u5f62\u6210\u4e2d\u4f7f\u7528\u66f4\u591a\u7684\u91cf\u5b50\u6bd4\u7279\u3002\u8fd9\u4e00\u8fdb\u5c55\u4e3a\u589e\u5f3a\u8ba1\u7b97\u80fd\u529b\u548c\u89e3\u51b3\u95ee\u9898\u7684\u80fd\u529b\u6253\u5f00\u4e86\u5927\u95e8\uff0c\u4e3a\u91cf\u5b50\u8ba1\u7b97\u5728\u673a\u5668\u5b66\u4e60\u5e94\u7528\u9886\u57df\u7684\u672a\u6765\u6307\u660e\u4e86\u4e00\u6761\u5145\u6ee1\u5e0c\u671b\u7684\u9053\u8def\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u91cf\u5b50\u8ba1\u7b97\u673a\u5229\u7528\u91cf\u5b50\u4f4d\u7684\u53e0\u52a0\u548c\u7ea0\u7f20\u7279\u6027\uff0c\u80fd\u591f\u5728\u5904\u7406\u548c\u8ba1\u7b97\u65b9\u9762\u63d0\u4f9b\u6bd4\u7ecf\u5178\u8ba1\u7b97\u673a\u66f4\u9ad8\u7684\u6548\u7387\u3002<\/li>\n\n\n\n<li>\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u901a\u8fc7\u53c2\u6570\u5316\u95e8\u548c\u91cf\u5b50\u7535\u8def\u5b9e\u73b0\uff0c\u80fd\u591f\u5728\u91cf\u5b50\u8ba1\u7b97\u673a\u4e0a\u6267\u884c\uff0c\u6709\u6f5c\u529b\u5728\u673a\u5668\u5b66\u4e60\u4efb\u52a1\u4e2d\u63d0\u4f9b\u4f18\u4e8e\u7ecf\u5178\u795e\u7ecf\u7f51\u7edc\u7684\u6027\u80fd\u3002<\/li>\n\n\n\n<li>\u5728\u5904\u7406\u65f6\u95f4\u5e8f\u5217\u6570\u636e\u65f6\uff0c\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u80fd\u591f\u6355\u6349\u6570\u636e\u4e2d\u7684\u590d\u6742\u6a21\u5f0f\uff0c\u5e76\u5728\u9884\u6d4b\u80a1\u7968\u4ef7\u683c\u7b49\u4efb\u52a1\u4e2d\u8868\u73b0\u51fa\u4f18\u5f02\u7684\u6f5c\u529b\u3002<\/li>\n\n\n\n<li>\u5c3d\u7ba1\u91cf\u5b50\u673a\u5668\u5b66\u4e60\u76ee\u524d\u4ecd\u7136\u5904\u4e8e\u53d1\u5c55\u521d\u671f\uff0c\u4f46\u968f\u7740\u91cf\u5b50\u8ba1\u7b97\u6280\u672f\u7684\u8fdb\u6b65\uff0c\u5b83\u6709\u671b\u5728\u672a\u6765\u6210\u4e3a\u89e3\u51b3\u590d\u6742\u95ee\u9898\u7684\u5f3a\u6709\u529b\u5de5\u5177\u3002<\/li>\n\n\n\n<li>\u672c\u6587\u7684\u7814\u7a76\u8868\u660e\uff0c\u91cf\u5b50\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u5728\u5904\u7406\u65f6\u95f4\u5e8f\u5217\u9884\u6d4b\u95ee\u9898\u65f6\uff0c\u4e0e\u7ecf\u5178\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u76f8\u6bd4\uff0c\u5177\u6709\u76f8\u4f3c\u6216\u66f4\u597d\u7684\u6027\u80fd\u3002<\/li>\n\n\n\n<li>\u968f\u7740\u91cf\u5b50\u8ba1\u7b97\u673a\u7684\u53d1\u5c55\u548c\u91cf\u5b50\u7b97\u6cd5\u7684\u6539\u8fdb\uff0c\u91cf\u5b50\u673a\u5668\u5b66\u4e60\u5c06\u5728\u672a\u6765\u63d0\u4f9b\u66f4\u591a\u7684\u5e94\u7528\u53ef\u80fd\u6027\uff0c\u5c24\u5176\u662f\u5728\u91d1\u878d\u5e02\u573a\u5206\u6790\u7b49\u9886\u57df\u3002<\/li>\n<\/ol>\n\n\n\n<p id=\"3306\">\u5e0c\u671b\u4f60\u4eca\u5929\u80fd\u5b66\u5230\u4e00\u4e9b\u6709\u7528\u7684\u65b0\u77e5\u8bc6\u3002\u6b64\u5916\uff0c\u8bf7\u5728\u8bc4\u8bba\u4e2d\u544a\u8bc9\u6211\u60a8\u5bf9\u91cf\u5b50\u673a\u5668\u5b66\u4e60\u53ca\u5176\u5bf9\u80a1\u5e02\u884c\u4e1a\u7684\u5f71\u54cd\u7684\u770b\u6cd5\u3002\u611f\u8c22\u60a8\u7684\u5b9d\u8d35\u65f6\u95f4\u3002<\/p>\n\n\n\n<p><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong><mark style=\"background-color:#ffffff\" class=\"has-inline-color has-cyan-bluish-gray-color\">\u672c\u6587\u5185\u5bb9\u4ec5\u4ec5\u662f\u6280\u672f\u63a2\u8ba8\u548c\u5b66\u4e60\uff0c\u5e76\u4e0d\u6784\u6210\u4efb\u4f55\u6295\u8d44\u5efa\u8bae\u3002<\/mark><\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong><mark style=\"background-color:#ffffff\" class=\"has-inline-color 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