{"id":3449,"date":"2017-09-15T10:07:23","date_gmt":"2017-09-15T02:07:23","guid":{"rendered":"http:\/\/www.systemsci.org\/jinshanw\/?p=3449"},"modified":"2017-09-15T21:40:37","modified_gmt":"2017-09-15T13:40:37","slug":"%e9%87%8f%e5%ad%90%e7%ba%a0%e7%bc%a0%e6%98%af%e6%80%8e%e4%b9%88%e5%9b%9e%e4%ba%8b%ef%bc%9f","status":"publish","type":"post","link":"https:\/\/www.systemsci.org\/jinshanw\/2017\/09\/15\/%e9%87%8f%e5%ad%90%e7%ba%a0%e7%bc%a0%e6%98%af%e6%80%8e%e4%b9%88%e5%9b%9e%e4%ba%8b%ef%bc%9f\/","title":{"rendered":"\u91cf\u5b50\u7ea0\u7f20\u662f\u600e\u4e48\u56de\u4e8b\uff1f"},"content":{"rendered":"

\u6709\u4eba\u95ee\uff0c\u5355\u5149\u5b50\u5149\u6e90\u600e\u4e48\u505a\u7684\uff0c\u7ea0\u7f20\u662f\u600e\u4e48\u56de\u4e8b\uff1f\u597d\u5427\uff0c\u6211\u5c31\u987a\u4fbf\u8bf4\u8bf4\u8fd9\u4e2a\u3002<\/p>\n

\u6570\u5b66\u548c\u7269\u7406\u7684\u51c6\u5907<\/h2>\n

\u4e0d\u8fc7\uff0c\u8fd9\u4e5f\u662f\u4e00\u4e2a\u9700\u8981\u6311\u6218\u667a\u529b\u7684\u95ee\u9898\uff0c\u5e76\u4e14\u9700\u8981\u4e00\u70b9\u70b9\u91cf\u5b50\u529b\u5b66\u548c\u7ecf\u5178\u6982\u7387\u8bba\u7684\u57fa\u7840\uff1a\u7b2c\u4e00\u3001\u91cf\u5b50\u529b\u5b66\u5bf9\u4e8e\u91cf\u5b50\u7cfb\u7edf\u7684\u72b6\u6001\u7684\u6570\u5b66\u63cf\u8ff0\u662f\u6ce2\u51fd\u6570\u6216\u8005\u8bf4\u5bc6\u5ea6\u77e9\u9635\uff0c\u5176\u80cc\u540e\u662f\u72b6\u6001\u672c\u8eab\u662f\u5177\u6709\u53ef\u53e0\u52a0\u6027\u7684\u77e2\u91cf\uff0c\u5e76\u4e14\u7531\u4e8e\u8fd9\u4e2a\u77e2\u91cf\u6027\uff0c\u6211\u4eec\u53ef\u4ee5\u7528\u4efb\u4f55\u4e00\u7ec4\u6b63\u4ea4\u5f52\u4e00\u57fa\u77e2\u6765\u5c55\u5f00\u91cf\u5b50\u6001\uff0c\u4e5f\u5c31\u662f\uff08\u5176\u4e2d\u4e09\u4e2a\u65b9\u5411\u5206\u522b\u8868\u793a\\(45^{0}\\)\u504f\u632f\u3001\u6c34\u5e73\u504f\u632f\u548c\u7ad6\u76f4\u504f\u632f\u3002\u5982\u679c\u5bf9\u4e8e\u504f\u632f\u73b0\u8c61\u8fd8\u4e0d\u662f\u7279\u522b\u4e86\u89e3\uff0c\u5219\u53ef\u4ee5\u53c2\u770b\u201c\u5149\u8fc7\u4e09\u4e2a\u504f\u632f\u7247\u548c\u7537\u4eba\u5973\u4eba\u8fc7\u4e09\u9053\u95e8\u7684\u5bf9\u6bd4\u201d<\/a>\uff09
\n\\begin{align}
\n\\left|\\psi\\right\\rangle = \\left|45^{0}\\right\\rangle = \\frac{\\sqrt{2}}{2}\\left(\\left|H\\right\\rangle + \\left|V\\right\\rangle\\right), \\\\
\n\\rho^{q} = \\left|45^{0}\\right\\rangle\\left\\langle 45^{0}\\right| = \\frac{1}{2}\\left(\\left|H\\right\\rangle\\left\\langle H\\right| + \\left|H\\right\\rangle\\left\\langle V\\right| + \\left|V\\right\\rangle\\left\\langle H\\right| + \\left|V\\right\\rangle\\left\\langle V\\right|\\right). \uff081\uff09
\n\\end{align}
\n\u8fd9\u4e24\u884c\u7b49\u4ef7\u3002
\n\u7b2c\u4e8c\u3001\u91cf\u5b50\u6d4b\u91cf\u53ef\u4ee5\u770b\u4f5c\u662f\u4ee3\u8868\u6d4b\u91cf\u4eea\u5668\u7684\u77e2\u91cf\u6216\u8005\u8bf4\u7b97\u7b26\u548c\u4ee3\u8868\u72b6\u6001\u7684\u77e2\u91cf\u6216\u8005\u5bc6\u5ea6\u77e9\u9635\u7684\u5185\u79ef\uff0c\u4e5f\u5c31\u662f
\n\\begin{align}
\nP_{\\alpha} = \\left| \\left\\langle \\alpha \\right. \\left|\\psi\\right\\rangle \\right|^{2} = \\left\\langle \\alpha \\right| \\rho \\left| \\alpha \\right\\rangle, \\\\
\n\\rho^{c} = \\sum_{\\alpha} \\left| \\alpha \\right\\rangle\\left\\langle \\alpha \\right| \\rho \\left| \\alpha \\right\\rangle\\left\\langle \\alpha \\right|, \uff082\uff09
\n\\end{align}
\n\u8fd9\u4e24\u884c\uff08\u5b9e\u9645\u4e0a\u4e09\u4e2a\u7b49\u5f0f\uff09\u7b49\u4ef7\u3002\u5176\u4e2d\u7684\\(\\alpha\\)\u4ee3\u8868\u6d4b\u91cf\u4eea\u5668\u7684\u65b9\u5411\u4ee5\u53ca\u76f8\u5e94\u7684\u77e2\u91cf\u3002\u6ce8\u610f\uff0c\u5982\u679c\u786e\u5b9e\u89c2\u6d4b\u5230\u4e86\u67d0\u4e2a\u72b6\u6001\\(\\left| \\alpha^{*} \\right\\rangle\\left\\langle \\alpha^{*} \\right|\\)\uff08\u4e5f\u5c31\u662f\u6240\u6709\u6982\u7387\u4e2d\u7684\\(P_{\\alpha^{*}}\\)\u5f97\u5230\u4e86\u62bd\u6837\u5b9e\u73b0\uff09\uff0c\u5219\u7cfb\u7edf\u5728\u6d4b\u91cf\u5b8c\u6210\u65f6\u523b\u7684\u72b6\u6001\u662f\\(\\left| \\alpha^{*} \\right\\rangle\\left\\langle \\alpha^{*} \\right|\\)\u3002\u8fd9\u4e2a\u88ab\u79f0\u4e3a\u6d4b\u91cf\u540e\u72b6\u6001\u516c\u7406\u3002
\n\u7b2c\u4e09\uff0c\u7ecf\u5178\u968f\u673a\u5bf9\u8c61\u7684\u63cf\u8ff0\u662f
\n\\begin{align}
\n\\rho^{c} = \\left(p_{H}\\left|H\\right\\rangle\\left\\langle H\\right| + p_{V}\\left|V\\right\\rangle\\left\\langle V\\right|\\right). \uff083\uff09
\n\\end{align}<\/p>\n

\u987a\u4fbf\u8865\u5145\u4e00\u4e0b\uff0c\u5bf9\u4e8e\u72ec\u7acb\u968f\u673a\u53d8\u91cf\uff0c
\n\\begin{align}
\n\\rho_{12}^{c} = \\rho_{1}^{c}\\rho_{2}^{c}, \uff084\uff09
\n\\end{align}
\n\u5426\u5219\u79f0\u4e3a\u7ecf\u5178\u5173\u8054\u968f\u673a\u53d8\u91cf\u3002\u4f8b\u5982\u4e24\u4e2a\u5b8c\u5168\u4e00\u81f4\u7684\u786c\u5e01\u53ef\u4ee5\u5199\u505a\uff0c
\n\\begin{align}
\n\\rho_{12}^{c} = \\frac{1}{2}\\left(\\left|HH\\right\\rangle\\left\\langle HH\\right| + \\left|VV\\right\\rangle\\left\\langle VV\\right|\\right) \\\\
\n\\neq \\rho_{1}^{c}\\rho_{2}^{c} = \\frac{1}{4}\\left(\\left|H\\right\\rangle\\left\\langle H\\right| + \\left|V\\right\\rangle\\left\\langle V\\right|\\right)\\left(\\left|H\\right\\rangle\\left\\langle H\\right| + \\left|V\\right\\rangle\\left\\langle V\\right|\\right). \uff085\uff09
\n\\end{align}<\/p>\n

\u540e\u9762\uff0c\u6211\u4eec\u4f1a\u7528\u5230\u77e2\u91cf\u7684\u5185\u79ef\u2014\u2014\u4e24\u4e2a\u6b63\u4ea4\u5f52\u4e00\u7684\u57fa\u77e2\u91cf\u7684\u5185\u79ef\u6ee1\u8db3\\(\\left\\langle \\mu \\right.\\left| \\nu\\right\\rangle=\\delta_{\\mu\\nu}\\)\uff0c\u4e5f\u5c31\u662f\u5982\u679c\u662f\u540c\u4e00\u4e2a\u57fa\u77e2\u91cf\u5219\u5185\u79ef\u7b49\u4e8e1\uff0c\u5426\u5219\u7b49\u4e8e0\u3002<\/p>\n

\u5982\u679c\u4f60\u77e5\u9053\u8fd9\u4e9b\u516c\u5f0f\u7684\u542b\u4e49\u6700\u597d\u3002\u4e0d\u77e5\u9053\u7684\u8bdd\uff0c\u9700\u8981\u8fbe\u5230\u4e0b\u9762\u7684\u7406\u89e3\u7a0b\u5ea6\uff0c\u4e3a\u4ec0\u4e48\u8fd9\u6837\u53ef\u4ee5\u53c2\u8003\u201c\u80fd\u770b\u5230\u5149\u662f\u591a\u4e48\u795e\u5947\u7684\u4e8b\u60c5\u554a\u201d<\/a>\u3001\u201c\u5149\u8fc7\u73bb\u7483\u662f\u4e00\u4ef6\u591a\u4e48\u795e\u5947\u7684\u4e8b\u60c5\u554a\u201d<\/a>\u548c\u201c\u5149\u8fc7\u4e09\u4e2a\u504f\u632f\u7247\u548c\u7537\u4eba\u5973\u4eba\u8fc7\u4e09\u9053\u95e8\u7684\u5bf9\u6bd4\u201d<\/a>\uff1a<\/p>\n

    \n
  1. \u7ecf\u5178\u7684\u786c\u5e01\u53ef\u4ee5\u5904\u4e8e\u6982\u7387\u7ec4\u5408\u6001\uff0c\u4e5f\u5c31\u662f\u8981\u4e48\u5411\u4e0a\uff08H\uff09\uff0c\u8981\u4e48\u5411\u4e0b\uff08V\uff09\uff0c\u4ee5\u4e00\u5b9a\u7684\u6982\u7387\uff0c\u8fd9\u6837\u7684\u72b6\u6001\uff0c\u8fd9\u4e2a\u72b6\u6001\u7684\u6570\u5b66\u8bed\u8a00\u5c31\u662f\u7b2c\u4e09\u4e2a\u516c\u5f0f\u91cc\u9762\u7684\u6837\u5b50\u3002<\/li>\n
  2. \u91cf\u5b50\u7684\u504f\u632f\u53ef\u4ee5\u5904\u4e8e\u6982\u7387\u5e45\u53e0\u52a0\u6001\uff0c\u4e5f\u5c31\u662f\u4ee3\u8868\u6c34\u5e73\uff08H\uff09\u548c\u7ad6\u76f4\uff08V\uff09\u7684\u77e2\u91cf\u76f4\u63a5\u52a0\u8d77\u6765\uff0c\u4ee5\u4e00\u5b9a\u7684\u6982\u7387\u5e45\uff0c\u8fd9\u6837\u7684\u72b6\u6001\uff0c\u8fd9\u4e2a\u72b6\u6001\u7684\u6570\u5b66\u8bed\u8a00\u5c31\u662f\u7b2c\u4e00\u4e2a\u516c\u5f0f\u91cc\u9762\u7684\u6837\u5b50\u3002\u5176\u4e2d\u4e24\u4e2aH\u548cV\u72b6\u6001\u524d\u9762\u7684\u7cfb\u6570\u51b3\u5b9a\u4e86\u504f\u632f\u7684\u65b9\u5411\u3002\u4f8b\u5982\\(45^{0}\\)\u7684\u65f6\u5019\uff0c\u7cfb\u6570\u90fd\u662f\\(\\frac{\\sqrt{2}}{2}\\)\u3002\u6211\u4eec\u6709\u65b9\u6cd5\u6309\u7167\u65b9\u5411\u8ba1\u7b97\u51fa\u6765\u8fd9\u4e9b\u7cfb\u6570\u3002\u4e0d\u8fc7\u6211\u4eec\u4e0d\u7528\u7ba1\u5177\u4f53\u600e\u4e48\u7b97\u3002<\/li>\n
  3. \u91cf\u5b50\u7684\u504f\u632f\u6d4b\u91cf\u4eea\u5668\u5bf9\u5e94\u7740\u67d0\u4e2a\u7279\u5b9a\u7684\u65b9\u5411\uff0c\u4f8b\u5982\u6211\u60f3\u62ff\u7740\\(45^{0}\\)\u6216\u8005\\(135^{0}\\)\u504f\u632f\u7684\u955c\u7247\u6765\u505a\u6d4b\u91cf\uff0c\u8fd9\u6837\u7684\u72b6\u6001\uff0c\u5c31\u4f1a\u5bf9\u5e94\u7740\u76f8\u5e94\u7684\u77e2\u91cf\\(\\left| \\alpha \\right\\rangle\\)\uff0c\u5177\u4f53\u65b9\u5411\u548c\u77e2\u91cf\u4e4b\u95f4\u5982\u4f55\u5bf9\u5e94\u6682\u65f6\u4e5f\u53ef\u4ee5\u4e0d\u7ba1\uff08\u5982\u679c\u4eea\u5668\u5728\\(45^{0}\\)\u5219\\(\\left| \\alpha \\right\\rangle = \\frac{\\sqrt{2}}{2}\\left(\\left|H\\right\\rangle + \\left|V\\right\\rangle\\right)\\)\uff0c\u5728\\(0^{0}\\)\u5219\\(\\left| \\alpha \\right\\rangle = \\left|H\\right\\rangle\\)\uff0c\u5982\u6b64\u8fd9\u822c\uff09\uff0c\u4e00\u65e6\u6709\u4e86\u8fd9\u4e2a\u4eea\u5668\u5bf9\u5e94\u7684\u77e2\u91cf\u4e4b\u540e\uff0c\u6d4b\u91cf\u7ed3\u679c\u662f\u4e00\u4e2a\u6982\u7387\u5206\u5e03\u51fd\u6570\uff08\u7684\u67d0\u4e00\u4e2a\u62bd\u6837\uff09\uff0c\u8fd9\u4e2a\u5206\u5e03\u51fd\u6570\u7684\u6570\u5b66\u64cd\u4f5c\u5c31\u662f\u7b2c\u4e8c\u4e2a\u516c\u5f0f\u91cc\u9762\u7684\u6837\u5b50\u3002<\/li>\n<\/ol>\n

    \u5982\u679c\u4ee5\u4e0a\u8fd9\u4e9b\u7531\u4e8e\u6570\u5b66\u7b26\u53f7\u4f60\u8fd8\u662f\u4e0d\u660e\u767d\u6216\u8005\u88ab\u5413\u4f4f\u4e86\uff0c\u90a3\u4e48\uff0c\u4e0b\u9762\u7684\u7406\u89e3\u4e5f\u7b97\u8fc7\u5f97\u53bb\uff1a<\/p>\n

      \n
    1. \u7ecf\u5178\u7684\u786c\u5e01\u7684\u72b6\u6001\u662f\u6982\u7387\u7ec4\u5408\u6001\u3002<\/li>\n
    2. \u91cf\u5b50\u7684\u504f\u632f\u7684\u72b6\u6001\u662f\u77e2\u91cf\u53e0\u52a0\u3002<\/li>\n
    3. \u91cf\u5b50\u7684\u504f\u632f\u6d4b\u91cf\u7684\u4eea\u5668\u53ef\u4ee5\u9009\u62e9\u67d0\u4e2a\u7279\u5b9a\u7684\u65b9\u5411\uff0c\u7136\u540e\u7ed3\u679c\u4f9d\u8d56\u4e8e\u8fd9\u4e2a\u65b9\u5411\u548c\u91cf\u5b50\u7cfb\u7edf\u7684\u72b6\u6001\u3002<\/li>\n
    4. \u4ee5\u4e0a\u90fd\u662f\u53ef\u8ba1\u7b97\u7684\uff0c\u4ec5\u4ec5\u600e\u4e48\u7b97\u6682\u65f6\u4e0d\u7ba1\u800c\u5df2\u3002<\/li>\n<\/ol>\n

      \u7ea0\u7f20\u7684\u5b9e\u9a8c\u5b9e\u73b0<\/h2>\n

      \u73b0\u5728\u6211\u4eec\u6765\u56de\u7b54\u7ea0\u7f20\u662f\u600e\u4e48\u5b9e\u73b0\u7684\uff0c\u4e0b\u4e00\u8282\uff0c\u518d\u6765\u770b\u7ea0\u7f20\u4f1a\u6709\u4ec0\u4e48\u7279\u6b8a\u6027\u8d28\u3002\u5728\u90a3\u4e4b\u524d\uff0c\u6211\u4eec\u5148\u6765\u505a\u4e00\u4e2a\u7406\u60f3\u5b9e\u9a8c\u2014\u2014\u771f\u5b9e\u4e0d\u597d\u505a\u7684\u4f46\u662f\u5728\u8111\u5b50\u91cc\u9762\u6bd4\u8f83\u5bb9\u6613\u505a\u7684\u201c\u5b9e\u9a8c\u201d\u3002\u6211\u4eec\u5047\u8bbe\u6709\u7ecf\u5178\u771f\u968f\u673a\u7684\u786c\u5e01\u3002\u6211\u4eec\u60f3\u901a\u8fc7\u8fd9\u6837\u7684\u7ecf\u5178\u771f\u968f\u673a\u7684\u786c\u5e01\u6765\u5236\u5907\u4e00\u5bf9\u7ecf\u5178\u5173\u8054\u7684\u786c\u5e01\u3002\u7ecf\u5178\u5173\u8054\u72b6\u6001\u6211\u4eec\u5df2\u7ecf\u5728\u7b2c\u56db\u4e2a\u516c\u5f0f\u4e2d\u63d0\u8fc7\u3002\u600e\u4e48\u5b9e\u73b0\u5462\uff1f\u6211\u4eec\u9700\u8981\u505a\u4e00\u4e2a\u4fe1\u53f7\u5206\u5272\u5668\uff0c\u4f8b\u5982\u7f51\u7ebf\u5206\u5272\u5668\u8fd9\u6837\u7684\u4e1c\u897f\uff0c\u5c31\u662f\u4e00\u4e2a\u4fe1\u53f7\u4e00\u5206\u4e8c\u7684\u63a5\u5934\uff1a\u4e00\u4e2a\u968f\u673a\u53d8\u91cf\u8fdb\u6765\uff0c\u4e24\u4e2a\u968f\u673a\u53d8\u91cf\u51fa\u53bb\uff0c\u5e76\u4e14\u4e24\u4e2a\u53d8\u91cf\u7684\u503c\u5b8c\u5168\u4e00\u6837\u3002\u8fd9\u4e2a\u4fe1\u53f7\u5206\u5272\u5668\u6216\u8005\u8bf4\u4fe1\u53f7\u590d\u5236\u5668\uff0c\u5728\u7ecf\u5178\u4fe1\u53f7\u4e0a\u662f\u5b8c\u5168\u53ef\u4ee5\u5b9e\u73b0\u7684\u3002\u8fd9\u6837\uff0c\u4e0d\u7ba1\u8fdb\u6765\u7684\u4fe1\u53f7\u662f\u4e0a\uff08H\uff09\u8fd8\u662f\u4e0b\uff08V\uff09\uff0c\u6211\u4eec\u603b\u4f1a\u5f97\u5230\u4e24\u4e2a\u5b8c\u5168\u4e00\u76f4\u7684\u968f\u673a\u4fe1\u53f7\uff0c\u5408\u8d77\u6765\uff0c\u4e5f\u5c31\u662f\u6211\u4eec\u9700\u8981\u7684\u7ecf\u5178\u5173\u8054\u968f\u673a\u72b6\u6001\u3002\u5c31\u597d\u50cf\u662f\u4e00\u5bf9\u540c\u5375\u53cc\u80de\u80ce\uff0c\u5c3d\u7ba1\u6211\u4eec\u53ef\u4ee5\u4e0d\u77e5\u9053\u5176\u6027\u522b\uff0c\u4f46\u662f\u6211\u4eec\u77e5\u9053\u80af\u5b9a\u540c\u6027\u3002\u4e8e\u662f\uff0c\u89c2\u6d4b\u4e00\u4e2a\u7684\u6027\u522b\u5c31\u77e5\u9053\u4e86\u53e6\u4e00\u4e2a\u3002<\/p>\n

      \u6211\u4eec\u518d\u6765\u770b\u91cf\u5b50\u7684\u53cc\u80de\u80ce\u600e\u4e48\u5236\u5907\u3002\u6709\u4e00\u79cd\u6676\u4f53\u53ef\u4ee5\u7528\u6765\u4ea7\u751f\u4e00\u5bf9\u53eb\u505a\u201c\u4e0b\u8f6c\u6362\u5149\u5b50<\/a>\u201d\u7684\u5149\u5b50\u5bf9\u3002\u6839\u636e\u80fd\u91cf\u5b88\u6052\u548c\u52a8\u91cf\u5b88\u6052\u7684\u7ea6\u675f\uff0c\u8fd9\u4e24\u4e2a\u5149\u5b50\u7684\u80fd\u91cf\u548c\u52a8\u91cf\u662f\u76f8\u4e92\u786e\u5b9a\u7684\uff0c\u603b\u548c\u5fc5\u987b\u7b49\u4e8e\u5165\u5c04\u5149\u5b50\u7684\u80fd\u91cf\u548c\u52a8\u91cf\u3002\u5176\u4e2d\u4e00\u4e2a\u7684\u52a8\u91cf\u77e5\u9053\u4e86\u5c31\u53ef\u4ee5\u63a8\u7b97\u51fa\u6765\u53e6\u4e00\u4e2a\u52a8\u91cf\u3002\u4e3a\u4e86\u7b80\u5355\u8ba1\uff0c\u8ba9\u6211\u4eec\u5047\u8bbe\u8fd9\u6837\u7684\u52a8\u91cf\u7684\u53d6\u503c\u53ea\u6709\u4e00\u79cd\\(p\\)\uff0c\u540c\u65f6\u5bf9\u5e94\u7740\u7684\u53e6\u4e00\u4e2a\u5149\u5b50\u7684\u52a8\u91cf\u53d6\u503c\u5c31\u662f\\(P-p\\)\u3002\\(P\\)\u662f\u603b\u52a8\u91cf\u3002\u4f46\u662f\uff0c\u7531\u4e8e\u6211\u4eec\u4e0d\u77e5\u9053\u54ea\u4e00\u4e2a\u5149\u5b50\u4f1a\u53d6\\(p\\)\uff0c\u6240\u4ee5\u5bf9\u5e94\u7740\u4e24\u79cd\u60c5\u5f62\uff0c
      \n\"downconversion\"
      \n\\begin{align}
      \n\\rho_{12}^{q} = \\frac{1}{2}\\left(\\left|p\uff0c\\left(P-p\\right)\\right\\rangle + \\left|\\left(P-p\\right),p\\right\\rangle\\right)\\left(\\left\\langle p\uff0c\\left(P-p\\right)\\right| + \\left\\langle\\left(P-p\\right),p\\right|\\right). \uff086\uff09
      \n\\end{align}
      \n\u751a\u81f3\uff0c\u8fd9\u4e24\u4e2a\u5149\u5b50\u7684\u504f\u632f\u4e5f\u662f\u914d\u5bf9\u7684\uff0c\u8fd9\u91cc\u6211\u4eec\u53d6\u90a3\u4e2a\u504f\u632f\u65b9\u5411\u603b\u662f\u76f8\u540c\u7684\u60c5\u5f62\u6765\u8ba8\u8bba\uff0c
      \n\\begin{align}
      \n\\rho_{12}^{q} = \\frac{1}{2}\\left(\\left|HH\\right\\rangle + \\left|VV\\right\\rangle\\right)\\left(\\left\\langle HH\\right| + \\left\\langle VV\\right|\\right). \uff087\uff09
      \n\\end{align}
      \n\u8fd9\u91cc\u6211\u4eec\u7528\u4e86\u91cf\u5b50\u529b\u5b66\u7684\u77e2\u91cf\u53e0\u52a0\u6027\u2014\u2014\u5982\u679c\u4e00\u4ef6\u4e8b\u60c5\u6709\u4e24\u79cd\u53d1\u751f\u7684\u53ef\u80fd\uff0c\u5e76\u4e14\u4e0d\u80fd\u533a\u5206\u5230\u5e95\u662f\u54ea\u4e00\u79cd\uff0c\u5219\u72b6\u6001\u662f\u8fd9\u4e24\u79cd\u53ef\u80fd\u7684\u72b6\u6001\u7684\u77e2\u91cf\u53e0\u52a0\u3002\u8fd9\u4e2a\u77e2\u91cf\u53e0\u52a0\u6027\u5bfc\u81f4\u4e86\u516c\u5f0f\uff087\uff09\u548c\u516c\u5f0f\uff085\uff09\u7684\u7ed3\u679c\u4e0d\u4e00\u6837\u3002<\/p>\n

      \u6709\u4e86\u53cc\u5149\u5b50\u7684\u7ea0\u7f20\u4e4b\u540e\uff0c\u8fd8\u53ef\u4ee5\u901a\u8fc7\u6d4b\u91cf\u6765\u5b9e\u73b0\u66f4\u591a\u7684\u5149\u5b50\u7684\u7ea0\u7f20\uff0c\u89c1\u4f8b\u5982\u6f58\u5efa\u4f1f\u7b49\u4eba\u7684\u591a\u5149\u5b50\u7ea0\u7f20\u7684\u5de5\u4f5c<\/a>\u3002\u5177\u4f53\u5982\u4f55\u5b9e\u73b0\u5c31\u4e0d\u8ba8\u8bba\u4e86\uff0c\u6211\u53ea\u622a\u53d6\u4e86\u5176\u4e2d\u7684\u4e00\u5f20\u56fe\uff0c\u6839\u672c\u4e0a\u5c31\u662f\u8bbe\u7f6e\u5b9e\u9a8c\u4eea\u5668\u5141\u8bb8\u67d0\u4e00\u7c7b\u7684\u4ecd\u7136\u5177\u6709\u591a\u79cd\u7684\u60c5\u51b5\u53ef\u80fd\u53d1\u751f\uff0c\u7136\u540e\uff0c\u7531\u4e8e\u8fd9\u4e9b\u60c5\u51b5\u4e0d\u53ef\u533a\u5206\uff0c\u7cfb\u7edf\u7684\u72b6\u6001\u662f\u8fd9\u4e9b\u72b6\u6001\u7684\u77e2\u91cf\u53e0\u52a0\u3002\u56e0\u6b64\uff0c\u5c31\u662f\u77e2\u91cf\u53e0\u52a0\u6027\u7684\u5404\u79cd\u5de7\u5999\u8fd0\u7528\u3002<\/p>\n

      \"FourEntangle\"<\/p>\n

      \u7ea0\u7f20\u7684\u795e\u5947\u4e4b\u5904\u548c\u795e\u5947\u4e4b\u5904\u7684\u6765\u6e90<\/h2>\n

      \u6709\u4e86\u6570\u5b66\u7269\u7406\u57fa\u7840\uff0c\u4e5f\u6709\u4e86\u5236\u5907\u7684\u65b9\u5f0f\uff0c\u6211\u4eec\u6765\u770b\u8fd9\u4e2a\u72b6\u6001\u6709\u4ec0\u4e48\u795e\u5947\u7684\u5730\u65b9\u3002\u6211\u4eec\u901a\u8fc7\u5bf9\u6bd4\u7ecf\u5178\u5173\u8054\u6001\u548c\u91cf\u5b50\u7ea0\u7f20\u6001\u6765\u770b\u8fd9\u4e2a\u795e\u5947\u4e4b\u5904\u3002<\/p>\n

      \u9996\u5148\uff0c\u8003\u8651\u516c\u5f0f\uff085\uff09\u7684\u7ecf\u5178\u5173\u8054\u6001\u3002\u6ce8\u610f\uff0c\u8fd9\u4e2a\u65f6\u5019\u786c\u5e01\u53ea\u80fd\u89c2\u6d4b\u5230\u8981\u4e48\u5411\u4e0a\uff08H\uff09\uff0c\u8981\u4e48\u5411\u4e0b\uff08V\uff09\u4e24\u79cd\u60c5\u51b5\u3002\u4e0d\u8fc7\uff0c\u5c31\u5173\u8054\u8d77\u6765\u7684\u60c5\u51b5\uff0c\u5982\u679c\u7b2c\u4e00\u4e2a\u786c\u5e01\u662f\u6b63\u9762\u5219\u7b2c\u4e8c\u4e2a\u4e5f\u662f\uff0c\u53cd\u9762\u7684\u60c5\u51b5\u4e5f\u4e00\u6837\u3002
      \n\\begin{align}
      \nP_{HH} = \\frac{1}{2}, P_{VV} = \\frac{1}{2}, P_{HV} = 0, P_{VH} = 0. \uff088\uff09
      \n\\end{align}\u4f60\u89c9\u5f97\u8fd9\u4e2a\u7ecf\u5178\u5173\u8054\u6001\u795e\u5947\u5417\uff1f\u6211\u4e0d\u89c9\u5f97\u3002<\/p>\n

      \u5176\u6b21\uff0c\u6211\u4eec\u6765\u8003\u8651\u516c\u5f0f\uff087\uff09\u7684\u91cf\u5b50\u7ea0\u7f20\u6001\u3002\u6211\u4eec\u5148\u6765\u89c2\u6d4b\u4e00\u4e0b\u6c34\u5e73\u8fd8\u662f\u7ad6\u76f4\u504f\u632f\uff0c\u4e5f\u5c31\u662f\u6211\u4eec\u5728\u4e24\u4e2a\u5149\u5b50\u4e0a\u90fd\u505a\u77e2\u91cf\u6295\u5f71\\(\\left|H\\right\\rangle, \\left|V\\right\\rangle\\)\u7684\u6d4b\u91cf\u3002\u4e8e\u662f\uff0c\u6309\u7167\u6211\u4eec\u6d4b\u91cf\u7684\u8ba1\u7b97\u65b9\u5f0f\u516c\u5f0f\uff082\uff09\uff0c\u6211\u4eec\u5f97\u5230\uff0c
      \n\\begin{align}
      \nP_{HH} = \\frac{1}{2}, P_{VV} = \\frac{1}{2}, P_{HV} = 0, P_{VH} = 0. \uff089\uff09
      \n\\end{align}
      \n\u8fd9\u4e2a\u770b\u8d77\u6765\u548c\u516c\u5f0f\uff088\uff09\u4e00\u6a21\u4e00\u6837\uff0c\u6240\u4ee5\u6211\u4e5f\u4e0d\u89c9\u5f97\u5947\u602a\u3002<\/p>\n

      \u5947\u602a\u7684\u4e8b\u60c5\u6765\u4e86\uff1a\u8ba9\u6211\u4eec\u5728\\(45^{0}\\)\u65b9\u5411\u6765\u6d4b\u91cf\u4e00\u4e0b\u4e24\u4e2a\u5149\u5b50\uff0c\u4e5f\u5c31\u662f\u628a\u516c\u5f0f\uff081\uff09\u4e2d\u7684\\(\\left|45^{0}\\right\\rangle\\)\u5f53\u505a\\(\\alpha\\)\u653e\u5230\u516c\u5f0f\uff082\uff09\u91cc\u9762\uff0c\u5176\u4e2d\u7684\\(\\rho\\)\u5462\u5206\u522b\u7528\u516c\u5f0f\uff085\uff09\u548c\u516c\u5f0f\uff087\uff09\u770b\u770b\u7ed3\u679c\u662f\u4e0d\u662f\u4e00\u6837\u3002\u8fd9\u4e2a\u8ba1\u7b97\u8fc7\u7a0b\u6211\u5c31\u4e0d\u5c55\u793a\u4e86\uff0c\u5176\u5b9e\u4e5f\u5c31\u662f\u628a\u4e0a\u9762\u7684\u5404\u9879\u5957\u8fdb\u53bb\u4ee5\u540e\u7528\u597d\u5185\u79ef\u7684\u8ba1\u7b97\u89c4\u5219\uff0c\u5c31\u884c\u3002\u6682\u65f6\u5c31\u53ea\u6709\u76f8\u4fe1\u6211\u4e86\u3002\u6211\u4eec\u4f1a\u5f97\u5230\uff0c\u5bf9\u4e8e\u7ecf\u5178\u7684\u60c5\u5f62
      \n\\begin{align}
      \nP_{45^{0},45^{0}} = \\frac{1}{4}, P_{135^{0},135^{0}} = \\frac{1}{4}, P_{45^{0},135^{0}} = \\frac{1}{4}, P_{135^{0},45^{0}} = \\frac{1}{4}. \uff0810\uff09
      \n\\end{align}
      \n\u800c\u5bf9\u4e8e\u91cf\u5b50\u7684\u60c5\u5f62
      \n\\begin{align}
      \nP_{45^{0},45^{0}} = \\frac{1}{2}, P_{135^{0},135^{0}} = \\frac{1}{2}, P_{45^{0},135^{0}} = 0, P_{135^{0},45^{0}} = 0. \uff0811\uff09
      \n\\end{align}
      \n\u540e\u8005\u7684\u7ed3\u679c\u624d\u662f\u548c\u5b9e\u9a8c\u76f8\u7b26\u7684\u3002\u8fd9\u4e2a\u7ed3\u679c\u8bf4\u660e\uff1a\u7b2c\u4e00\uff0c\u8fd9\u6837\u7684\u91cf\u5b50\u7ea0\u7f20\u6001\u5177\u6709\u4e00\u4e2a\u795e\u5947\u7684\u6027\u8d28\uff0c\u5728\u4efb\u4f55\u4e00\u4e2a\u65b9\u5411\u7684\u914d\u5bf9\u6d4b\u91cf\uff0c\u90fd\u53ef\u4ee5\u89c2\u6d4b\u5230\u7ea0\u7f20\uff1b\u7b2c\u4e8c\uff0c\u5982\u679c\u5f62\u5f0f\u4e0a\u5141\u8bb8\u7ecf\u5178\u6765\u6d4b\u91cf\\(45^{0}\\)\u7b49\u65b9\u5411\uff0c\u5219\u7ecf\u5178\u6982\u7387\u53e0\u52a0\u6001\u7ed9\u51fa\u6765\u7684\u7ed3\u679c\u548c\u5b9e\u9a8c\u4e0d\u76f8\u7b26\u3002\u6216\u8005\u8bf4\uff0c\u4ec5\u4ec5\u5728\u539f\u59cb\u7684\u65b9\u5411\uff0c\u8fd9\u91cc\u4e5f\u5c31\u662f\u6c34\u5e73\u548c\u7ad6\u76f4\uff0c\u7ecf\u5178\u6d4b\u91cf\u7ed9\u51fa\u6765\u7684\u5173\u8054\u6027\u7684\u7406\u8bba\u7ed3\u679c\u548c\u5b9e\u9a8c\u7ed3\u679c\u2014\u2014\u4e24\u8005\u4e00\u6837\uff0c\u662f\u548c\u91cf\u5b50\u60c5\u5f62\u4e00\u6837\u7684\u3002\u4e00\u65e6\u5141\u8bb8\u6539\u53d8\u65b9\u5411\uff0c\u5219\u7b2c\u4e00\u7ecf\u5178\u539f\u5219\u4e0a\u6ca1\u6cd5\u6765\u6d4b\u8fd9\u4e2a\u6539\u53d8\u7684\u65b9\u5411\uff0c\u7b2c\u4e8c\u7ed9\u51fa\u6765\u7684\u7406\u8bba\u7ed3\u679c\u4e5f\u662f\u9519\u7684\u3002<\/p>\n

      \u56e0\u6b64\uff0c\u91cf\u5b50\u7ea0\u7f20\u7684\u795e\u5947\u4e4b\u5904\u5728\u4ec0\u4e48\u5730\u65b9\u5462\uff1f\u5728\u4e8e\u4efb\u4f55\u4e00\u5bf9\u6b63\u4ea4\u65b9\u5411\u4e0a\u5bf9\u4e24\u4e2a\u5149\u5b50\u7684\u504f\u632f\u7684\u6d4b\u91cf\uff0c\u90fd\u7ed9\u51fa\u6765\u5b8c\u5168\u76f8\u5173\u7684\u4fe1\u606f\uff0c\u800c\u4e0d\u4ec5\u4ec5\u662f\u6c34\u5e73\u548c\u7ad6\u76f4\u8fd9\u4e00\u5bf9\u65b9\u5411\u3002\u7136\u800c\uff0c\u7ecf\u5178\u76f8\u5173\u6001\u4ec5\u4ec5\u5728\u539f\u6765\u8bbe\u5b9a\u7684\u65b9\u5411\u4e0a\u5b8c\u5168\u76f8\u5173\uff0c\u4e0d\u80fd\u7531\u5b9e\u9a8c\u8005\u6539\u53d8\u65b9\u5411\u3002\u56e0\u6b64\uff0c\u795e\u5947\u4e4b\u5904\u4e0d\u5728\u4e8e\u5b8c\u5168\u76f8\u5173\uff0c\u800c\u5728\u4e8e\u4efb\u4f55\u4e00\u5bf9\u6b63\u4ea4\u65b9\u5411\uff08\u91cf\u5b50\uff09\u548c\u4ec5\u4ec5\u539f\u59cb\u7684\u65b9\u5411\uff08\u7ecf\u5178\uff09\u7684\u5bf9\u6bd4\u3002\u5176\u5b9e\uff0c\u91cf\u5b50\u751a\u81f3\u53ef\u4ee5\u544a\u8bc9\u4f60\uff0c\u8ba1\u7b97\u4e24\u4e2a\u5149\u5b50\u7684\u6d4b\u91cf\u65b9\u5411\u4e0d\u4e00\u6837\uff0c\u4ecd\u7136\u53ef\u4ee5\u5f97\u5230\u4e00\u4e2a\u5173\u8054\u7cfb\u6570\uff0c\u5e76\u4e14\u8fd9\u4e2a\u5173\u8054\u7cfb\u6570\u80fd\u548c\u5b9e\u9a8c\u76f8\u7b26\u3002\u53ea\u8981\u7528\u7ed9\u5b9a\u65b9\u5411\u4e0b\u7684\u5408\u9002\u7684\\(\\left|\\alpha\\right\\rangle\\)\u4ee3\u5165\u516c\u5f0f\uff082\uff09\u5c31\u53ef\u4ee5\u7b97\u51fa\u6765\u8fd9\u4e2a\u7ed3\u679c\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u8fd9\u4e2a\u795e\u5947\u4e4b\u5904\uff0c\u5c31\u6765\u81ea\u4e8e\u516c\u5f0f\uff081\uff09\u548c\u516c\u5f0f\uff082\uff09\u3002\u524d\u8005\u662f\u72b6\u6001\u7684\u77e2\u91cf\u53e0\u52a0\u6027\uff0c\u540e\u8005\u662f\u5982\u4f55\u4ece\u72b6\u6001\u6765\u8ba1\u7b97\u7ed9\u5b9a\u6d4b\u91cf\u4eea\u5668\u4ee5\u540e\u5f97\u5230\u7684\u6d4b\u91cf\u7ed3\u679c\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u5176\u5b9e\uff0c\u6839\u672c\u4e0a\u5c31\u662f\u516c\u5f0f\uff081\uff09\u2014\u2014\u6001\u7684\u77e2\u91cf\u53e0\u52a0\u6027\uff0c\u56e0\u4e3a\u516c\u5f0f\uff082\uff09\u5176\u5b9e\u7ecf\u5178\u548c\u91cf\u5b50\u7684\u65f6\u5019\u90fd\u5bf9\u3002<\/p>\n

      \u4e3a\u4e86\u4fdd\u8bc1\u8fd9\u4e2a\u5173\u8054\u6027\uff0c\u770b\u8d77\u6765\u5c31\u597d\u50cf\u662f\u5bf9\u4e00\u4e2a\u5149\u5b50\u7684\u6d4b\u91cf\u6539\u53d8\u4e86\u53e6\u4e00\u4e2a\u5149\u5b50\u7684\u72b6\u6001\uff0c\u4e0d\u7ba1\u5b83\u4eec\u79bb\u5f97\u591a\u8fdc\u3002\u53ef\u662f\u8fd9\u4ef6\u4e8b\u60c5\u5947\u602a\u5417\uff1f\u7ecf\u5178\u968f\u673a\u5173\u8054\u53d8\u91cf\u4e0d\u662f\u4e5f\u4e00\u6837\u7684\u5417\uff1f\u6d4b\u91cf\u4e86\u4e00\u4e2a\u4e4b\u540e\uff0c\u5c31\u77e5\u9053\u4e86\u53e6\u4e00\u4e2a\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u53e6\u4e00\u4e2a\u7684\u72b6\u6001\u5c31\u5df2\u7ecf\u88ab\u6539\u53d8\u4e86\u3002\u8fd9\u4e2a\u5173\u8054\u6027\u672c\u8eab\u4e0d\u662f\u795e\u5947\u7684\u4e8b\u60c5\uff0c\u800c\u662f\u4efb\u4f55\u4e00\u5bf9\u65b9\u5411\u4e0a\u7684\u6d4b\u91cf\u90fd\u5177\u6709\u7c7b\u4f3c\u7684\u5173\u8054\u6027\u624d\u662f\u5947\u602a\u7684\u5730\u65b9\uff0c\u800c\u8fd9\u4e2a\u5173\u8054\u6765\u81ea\u4e8e\u72b6\u6001\u7684\u77e2\u91cf\u53e0\u52a0\u6027\u3002<\/p>\n

      \u54b1\u4eec\u6765\u505a\u4e24\u4e2a\u8fd9\u6837\u7684\u8ba1\u7b97\uff0c\u9996\u5148\uff0c\u5982\u679c\u6d4b\u91cf\u5f97\u5230\u7b2c\u4e00\u4e2a\u5149\u5b50\u662f\\(\\left|H\\right\\rangle\\)\u770b\u770b\u7b2c\u4e8c\u4e2a\u5149\u5b50\u662f\u4ec0\u4e48\u72b6\u6001\u3002\u6211\u4eec\u5c31\u7528\u6d4b\u91cf\u540e\u72b6\u6001\u516c\u7406\u5f97\u5230
      \n\\begin{align}
      \n\\rho_{2} = \\left\\langle H\\right| \\frac{1}{2}\\left(\\left|HH\\right\\rangle + \\left|VV\\right\\rangle\\right)\\left(\\left\\langle HH\\right| + \\left\\langle VV\\right|\\right)\\left|H\\right\\rangle \\propto \\left|H\\right\\rangle\\left\\langle H\\right|.
      \n\\end{align}
      \n\u5176\u6b21\uff0c\u6211\u4eec\u6765\u770b\uff0c\u5982\u679c\u6d4b\u91cf\u5f97\u5230\u7b2c\u4e00\u4e2a\u5149\u5b50\u662f\\(\\left|45^{0}\\right\\rangle=\\frac{\\sqrt{2}}{2}\\left(\\left|H\\right\\rangle + \\left|V\\right\\rangle\\right)\\)\u770b\u770b\u7b2c\u4e8c\u4e2a\u5149\u5b50\u662f\u4ec0\u4e48\u72b6\u6001
      \n\\begin{align}
      \n\\rho_{2} = \\frac{1}{4}\\left(\\left\\langle H\\right| + \\left\\langle V\\right|\\right) \\left(\\left|HH\\right\\rangle + \\left|VV\\right\\rangle\\right)\\left(\\left\\langle HH\\right| + \\left\\langle VV\\right|\\right)\\left(\\left|H\\right\\rangle + \\left|V\\right\\rangle\\right) \\\\
      \n \\propto \\frac{1}{2}\\left(\\left|H\\right\\rangle + \\left|V\\right\\rangle\\right)\\left(\\left\\langle H\\right| + \\left\\langle V\\right|\\right).
      \n\\end{align}
      \n\u66f4\u8fdb\u4e00\u6b65\uff0c\u975e\u5e38\u5bb9\u6613\u9a8c\u8bc1\uff0c\u5982\u679c\u7ea0\u7f20\u6001\u7684\u6570\u5b66\u8868\u8fbe\u5f0f\u4e2d\u95f4\u7f3a\u51e0\u9879\uff0c\u53d8\u6210\u7ecf\u5178\u5173\u8054\u6001\u90a3\u6837\uff0c\u5219\u7b2c\u4e8c\u4e2a\u8ba1\u7b97\u5f97\u5230\u7684\u7ed3\u679c\u4e0d\u4e00\u6837\uff0c
      \n\\begin{align}
      \n\\rho^{c}_{2} = \\frac{1}{4}\\left(\\left\\langle H\\right| + \\left\\langle V\\right|\\right) \\left(\\left|HH\\right\\rangle \\left\\langle HH\\right| + \\left|VV\\right\\rangle\\left\\langle VV\\right|\\right) \\left(\\left|H\\right\\rangle + \\left|V\\right\\rangle\\right) \\\\
      \n \\propto \\frac{1}{2}\\left(\\left|H\\right\\rangle\\left\\langle H\\right| + \\left|V\\right\\rangle\\left\\langle V\\right|\\right).
      \n\\end{align}
      \n\u8fd9\u4e2a\u7b2c\u4e8c\u4e2a\u5149\u5b50\u72b6\u6001\u548c\u7b2c\u4e00\u4e2a\u89c2\u6d4b\u5230\u7684\u4e0d\u4e00\u6837\u3002\u4ece\u8fd9\u4e2a\u8ba1\u7b97\u6211\u4eec\u770b\u5230\uff0c\u6211\u4eec\u4e0d\u9700\u8981\u505a\u65f6\u95f4\u6f14\u5316\uff0c\u4e5f\u4e0d\u9700\u8981\u505a\u4fe1\u606f\u4f20\u9012\uff0c\u7b2c\u4e8c\u4e2a\u5149\u5b50\u81ea\u7136\u5c31\u4f1a\u968f\u7740\u7b2c\u4e00\u4e2a\u5149\u5b50\u6d4b\u91cf\u7ed3\u679c\u7684\u6539\u53d8\u800c\u6539\u53d8\u3002\u8fd9\u4ef6\u4e8b\u60c5\u751a\u81f3\u5728\u7ecf\u5178\u5173\u8054\u6001\u4e0a\u90fd\u662f\u5982\u6b64\u3002\u56e0\u6b64\uff0c\u7ea0\u7f20\u6001\u5e76\u4e0d\u610f\u5473\u7740\u8d85\u8ddd\u4f5c\u7528\uff0c\u5c3d\u7ba1\u5b9e\u9645\u4e0a\u4e24\u4e2a\u5149\u5b50\u53ef\u4ee5\u8ddd\u79bb\u5f88\u8fdc\uff0c\u56e0\u4e3a\u5b83\u4eec\u4e4b\u95f4\u6839\u672c\u6ca1\u6709\u4f5c\u7528\uff0c\u53ea\u6709\u8d85\u8ddd\uff01\u5b8c\u5168\u5c31\u662f\u903b\u8f91\u63a8\u5bfc\u7684\u7ed3\u679c\u3002<\/p>\n

      \u7c7b\u4f3c\u7684\u95ee\u9898\u5728\u6d4b\u91cf\u7684\u65f6\u5019\u4e5f\u4f1a\u9047\u5230\u2014\u2014\u6d4b\u91cf\u5b9e\u9645\u4e0a\u5c31\u662f\u4e00\u4e2a\u5148\u5efa\u7acb\u7ea0\u7f20\u518d\u62bd\u6837\u89c2\u6d4b\u5230\u5176\u4e2d\u67d0\u4e00\u4e2a\u72b6\u6001\u7684\u8fc7\u7a0b\u3002\u90a3\u4e2a\u65f6\u5019\uff0c\u4f60\u53ef\u80fd\u4e5f\u4f1a\u89c9\u5f97\uff0c\u751a\u81f3\u5728\u7ea0\u7f20\u5efa\u7acb\u8d77\u6765\u4e4b\u540e\uff0c\u597d\u50cf\u67d0\u4e2a\u4fe1\u606f\u6216\u8005\u67d0\u4e2a\u65f6\u95f4\u8fc7\u7a0b\uff0c\u4ece\u4f60\u6d4b\u91cf\u7684\u4eea\u5668\u751a\u81f3\u4f60\u7684\u8111\u888b\uff0c\u8dd1\u5230\u4e86\u88ab\u6d4b\u91cf\u72b6\u6001\u4e0a\u3002\u8fd9\u5b8c\u5168\u5c31\u662f\u5047\u50cf\u3002\u6211\u4eec\u5df2\u7ecf\u770b\u5230\u53ea\u8981\u5148\u5efa\u7acb\u8d77\u6765\u7ea0\u7f20\uff0c\u8fd9\u4e2a\u76f8\u5173\u7684\u5b9e\u73b0\u4e0d\u9700\u8981\u4efb\u4f55\u65f6\u95f4\u8fc7\u7a0b\uff0c\u4e0d\u9700\u8981\u4efb\u4f55\u4fe1\u53f7\u7684\u4f20\u9012\uff0c\u751a\u81f3\u6839\u672c\u5c31\u6ca1\u6709\u76f8\u4e92\u4f5c\u7528\u3002<\/p>\n

      \u795e\u5947\u7684\u7ea0\u7f20\u53ef\u4ee5\u7528\u5728\u4ec0\u4e48\u5730\u65b9<\/h2>\n

      \u7531\u4e8e\u5728\u4efb\u4f55\u4e00\u5bf9\u65b9\u5411\uff08\u4e0d\u4ec5\u4ec5\u6b63\u4ea4\uff09\u4e0a\u7684\u6d4b\u91cf\u90fd\u5177\u6709\u8fd9\u4e2a\u76f8\u5173\u6027\uff08\u6b63\u4ea4\u7684\u8bdd\u5c31\u6b63\u597d\u5c31\u662f\u5b8c\u5168\u76f8\u5173\uff09\uff0c\u8fd9\u6837\u7684\u795e\u5947\u6027\u8d28\u53ef\u4ee5\u7528\u6765\u505a\u5f88\u591a\u5f88\u591a\u4e8b\u60c5\u3002\u4f8b\u5982\u91cf\u5b50\u8fdc\u7a0b\u4f20\u8f93\u3001\u91cf\u5b50\u535a\u5f08\u3001\u5feb\u901f\u56e0\u5b50\u5206\u89e3\u3001\u91cf\u5b50\u5bc6\u7801\u7b49\u7b49\u3002\u5177\u4f53\u4f8b\u5b50\uff0c\u6682\u65f6\u5c31\u4e0d\u8fdb\u4e00\u6b65\u8ba8\u8bba\u4e86\u3002<\/p>\n

      \u7ea0\u7f20\u8fd8\u53ef\u4ee5\u7528\u6765\u505a\u5355\u5149\u5b50\u5149\u6e90\uff0c\u6bcf\u6b21\u4ece\u51fa\u6765\u7684\u4e00\u5bf9\u91cc\u9762\uff0c\u6321\u4f4f\u4e00\u4e2a\uff0c\u5c31\u884c\u4e86\u3002\u8fd9\u6837\u7684\u8bbe\u5907\u80fd\u591f\u5f88\u597d\u5730\u4fdd\u8bc1\u5355\u5149\u5b50\u6027\u3002<\/p>\n

      \u5c0f\u7ed3<\/h2>\n

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