{"id":6443,"date":"2024-08-08T17:01:01","date_gmt":"2024-08-08T09:01:01","guid":{"rendered":""},"modified":"2024-08-08T17:01:01","modified_gmt":"2024-08-08T09:01:01","slug":"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8","status":"publish","type":"post","link":"https:\/\/mushiming.com\/6443.html","title":{"rendered":"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8"},"content":{"rendered":"<h3>1.Hadamard\u95e8<\/h3>\n<p>Hadamard\u95e8\u53ef\u5c06\u57fa\u6001\u53d8\u4e3a\u53e0\u52a0\u6001\u7684\u91cf\u5b50\u903b\u8f91\u95e8\uff0c\u7b80\u79f0H\u95e8\u3002<\/p>\n<p>Hadamard\u95e8\u77e9\u9635\u5f62\u5f0f\u4e3aH= <img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\frac{1}{\\sqrt{2}}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c1\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c1\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\begin{bmatrix}1 &amp;1 \\\\ 1&amp;-1 \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c2\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c2\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >\u3002<\/p>\n<p>\u5b83\u5c06\u57fa\u6001|0&gt;\u53d8\u4e3a|+&gt;=(|0&gt;+|1&gt;)\/<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\sqrt{2}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c3\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c3\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >\uff0c\u5c06&nbsp;|0&gt;\u53d8\u4e3a|-&gt;=(|0&gt;-|1&gt;)\/<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\sqrt{2}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c3\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c3\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >&nbsp;\u3002<\/p>\n<h3>2.Pauli-X\u95e8<\/h3>\n<p>Pauli-X\u95e8\u4f5c\u7528\u5728\u5355\u91cf\u5b50\u6bd4\u7279\u4e0a\uff0c\u76f8\u5f53\u4e8e\u7ecf\u5178\u8ba1\u7b97\u673a\u7684NOT\u95e8\uff0c\u628a\u91cf\u5b50\u6001\u8fdb\u884c\u7ffb\u8f6c\u3002<\/p>\n<p>Pauli-X\u95e8\u7684\u77e9\u9635\u5f62\u5f0f\u4e3a\u6ce1\u5229\u77e9\u9635<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\sigma _{x}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c5\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c5\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >,\u5373\uff0cX=<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\sigma _{x}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c5\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c5\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >=<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\begin{bmatrix} 0 &amp; 1\\\\ 1&amp; 0 \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c7\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c7\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >\u3002<\/p>\n<p>\u5047\u8bbeX\u95e8\u4f5c\u7528\u5728\u91cf\u5b50\u6001|<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\varphi\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c8\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c8\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >&gt;=a|0&gt;+b|1&gt;\u4e0a\u9762\uff0c<\/p>\n<p>\u5219\u5f97\u5230\u65b0\u7684\u91cf\u5b50\u6001\u4e3a\uff1a|<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\varphi\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c8\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c8\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >`&gt;=X|<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\varphi\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c8\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c8\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >&gt;=<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\begin{bmatrix} 0 &amp; 1\\\\ 1&amp; 0 \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c7\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c7\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\begin{bmatrix} a\\\\ b \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c12\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c12\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >=<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\begin{bmatrix} b\\\\ a \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c13\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c13\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >=b|0&gt;+a|1&gt;<\/p>\n<h3>3.Pauli-Y\u95e8<\/h3>\n<p>Pauli-Y\u95e8\u4f5c\u7528\u5728\u5355\u91cf\u5b50\u6bd4\u7279\u4e0a\uff0c\u4f5c\u7528\u6548\u679c\u4e3a\u7ed5Bloch\u7403Y\u8f74\u65cb\u8f6c\u89d2\u5ea6\u03c0\u3002<\/p>\n<p>Pauli-Y\u95e8\u7684\u77e9\u9635\u5f62\u5f0f\u4e3a\u6ce1\u5229\u77e9\u9635<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\sigma _{y}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c14\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c14\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >\uff0c\u5373Z=<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\sigma _{y}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c14\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c14\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >=<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\begin{bmatrix} 0 &amp; -i\\\\ i&amp; 0 \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c16\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c16\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><\/p>\n<p>\u5047\u8bbeY\u95e8\u4f5c\u7528\u5728\u91cf\u5b50\u6001|<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\varphi\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c8\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c8\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >&gt;=a|0&gt;+b|1&gt;\u4e0a\u9762\uff0c<\/p>\n<p>\u5219\u5f97\u5230\u65b0\u7684\u91cf\u5b50\u6001\u4e3a\uff1a|<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\varphi\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c8\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c8\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >`&gt;=Y|<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\varphi\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c8\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c8\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >&gt;=<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\begin{bmatrix} 0 &amp; -i\\\\ i&amp; 0 \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c16\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c16\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\begin{bmatrix} a\\\\ b \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c12\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c12\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >=<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\begin{bmatrix} -ib\\\\ ia \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c22\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c22\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >=-ib|0&gt;+ia|1&gt;<\/p>\n<h3>4.Pauli-Z\u95e8<\/h3>\n<p>Pauli-Y\u95e8\u4f5c\u7528\u5728\u5355\u91cf\u5b50\u6bd4\u7279\u4e0a\uff0c\u4f5c\u7528\u6548\u679c\u4e3a\u7ed5Bloch\u7403Z\u8f74\u65cb\u8f6c\u89d2\u5ea6\u03c0\u3002<\/p>\n<p>Pauli-Z\u95e8\u7684\u77e9\u9635\u5f62\u5f0f\u4e3a\u6ce1\u5229\u77e9\u9635<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\sigma _{z}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c23\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c23\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >\uff0c\u5373Z=<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\sigma _{z}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c23\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c23\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >=<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\begin{bmatrix} 1 &amp;0 \\\\ 0 &amp; -1 \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c25\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c25\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><\/p>\n<p>\u5047\u8bbeZ\u95e8\u4f5c\u7528\u5728\u91cf\u5b50\u6001|<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\varphi\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c8\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c8\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >&gt;=a|0&gt;+b|1&gt;\u4e0a\u9762\uff0c<\/p>\n<p>\u5219\u5f97\u5230\u65b0\u7684\u91cf\u5b50\u6001\u4e3a\uff1a|<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\varphi\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c8\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c8\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >`&gt;=Z|<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\varphi\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c8\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c8\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >&gt;=<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\begin{bmatrix} 1 &amp;0 \\\\ 0 &amp; -1 \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c25\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c25\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\begin{bmatrix} a\\\\ b \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c12\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c12\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >=<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\begin{bmatrix} a\\\\ -b \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c31\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c31\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >=a|0&gt;-b|1&gt;<\/p>\n<h3>5.\u65cb\u8f6c\u95e8RX(<strong><img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\theta\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c32\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c32\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><\/strong>)\u95e8<\/h3>\n<p>RX\u95e8\u7531Pauli-X\u77e9\u9635\u4f5c\u4e3a\u751f\u6210\u5143\u751f\u6210\uff0c\u77e9\u9635\u5f62\u5f0f\u4e3a:<\/p>\n<p>RX(<strong><img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\theta\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c32\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c32\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><\/strong>)\u2261<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"e^{-i\\theta x\/2}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c34\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c34\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >=cos(<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\theta\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c32\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c32\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >\/2)&nbsp;<em>I<\/em>&nbsp;-<em>i&nbsp;<\/em>sin(<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\theta\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c32\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c32\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >\/2)X=<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\begin{bmatrix} cos(\\theta \/2)&amp;-isin(\\theta \/2) \\\\ -isin(\\theta \/2) &amp; cos(\\theta \/2) \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c37\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c37\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><\/p>\n<p>\u5047\u8bbeRX(<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\pi\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c38\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c38\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >\/2)\u95e8\u4f5c\u7528\u5728\u91cf\u5b50\u6001|<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\varphi\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c8\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c8\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >&gt;=a|0&gt;+b|1&gt;\u4e0a\u9762\uff0c<\/p>\n<p>\u5219\u5f97\u5230\u65b0\u7684\u91cf\u5b50\u6001\u4e3a\uff1a<\/p>\n<p>&nbsp;|<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\varphi\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c8\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c8\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >`&gt;=RX(<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\pi\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c38\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c38\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >\/2)|<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\varphi\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c8\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c8\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >&gt;=<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\frac{\\sqrt{2}}{2}\\begin{bmatrix} 1 &amp; -i\\\\ -i&amp; 1 \\end{bmatrix}\\begin{bmatrix} a\\\\ b \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c43\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c43\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >=<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\frac{\\sqrt{2}}{2}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c44\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c44\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\begin{bmatrix} a-ib\\\\b-ia \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c45\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c45\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >=<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\frac{\\sqrt{2}(a-ib)}{2}|0 alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c46\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c46\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >+\">&nbsp;&nbsp;<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\frac{\\sqrt{2}(b-ia)}{2}|1 alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c47\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c47\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >\"><\/p>\n<h3>6.\u65cb\u8f6c\u95e8RY(<strong><img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\theta\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c32\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c32\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><\/strong>)\u95e8<\/h3>\n<p>RY\u95e8\u7531Pauli-Y\u77e9\u9635\u4f5c\u4e3a\u751f\u6210\u5143\u751f\u6210\uff0c\u77e9\u9635\u5f62\u5f0f\u4e3a:<\/p>\n<p>RY(<strong><strong><img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\theta\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c32\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c32\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><\/strong><\/strong>)\u2261<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"e^{-i\\theta Y\/2}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c50\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c50\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >=cos(<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\theta\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c32\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c32\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >\/2)&nbsp;<em>I<\/em>&nbsp;-<em>i&nbsp;<\/em>sin(<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\theta\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c32\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c32\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >\/2)Y=<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\begin{bmatrix} cos(\\theta \/2) &amp; -sin(\\theta \/2)\\\\ sin(\\theta \/2) &amp; cos(\\theta \/2) \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c53\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c53\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><\/p>\n<p>\u5047\u8bbeRY(<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\pi\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c38\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c38\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >\/2)\u95e8\u4f5c\u7528\u5728\u91cf\u5b50\u6001|<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\varphi\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c8\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c8\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >&gt;=a|0&gt;+b|1&gt;\u4e0a\u9762\uff0c<\/p>\n<p>\u5219\u5f97\u5230\u65b0\u7684\u91cf\u5b50\u6001\u4e3a\uff1a<\/p>\n<p>&nbsp;|<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\varphi\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c8\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c8\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >`&gt;=RY(<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\pi\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c38\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c38\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >\/2)|<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\varphi\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c8\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c8\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >&gt;=<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\frac{\\sqrt{2}}{2}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c44\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c44\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >&nbsp;<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\begin{bmatrix} 1 &amp; -1\\\\ 1 &amp; 1 \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c60\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c60\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\begin{bmatrix} a\\\\ b \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c12\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c12\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >=<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\frac{\\sqrt{2}}{2}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c44\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c44\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\begin{bmatrix} a-b\\\\ a+b \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c63\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c63\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >=<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\frac{\\sqrt{2}(a-b)}{2}|0 alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c64\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c64\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >+\">&nbsp;<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\frac{\\sqrt{2}(a+b)}{2}|1 alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c65\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c65\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >\">&nbsp;<\/p>\n<h3>7.\u65cb\u8f6c\u95e8RZ(<strong><strong><img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\theta\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c32\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c32\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><\/strong><\/strong>)\u95e8<\/h3>\n<p>RZ\u95e8\u7531Pauli-Z\u77e9\u9635\u4f5c\u4e3a\u751f\u6210\u5143\u751f\u6210\uff0c\u4e5f\u79f0\u4e3a\u76f8\u4f4d\u8f6c\u5316\u95e8\uff0c\u77e9\u9635\u5f62\u5f0f\u4e3a:<\/p>\n<p>RZ(<strong><strong><strong><strong><img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\theta\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c32\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c32\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><\/strong><\/strong><\/strong><\/strong>)\u2261<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"e^{-i\\theta Z\/2}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c68\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c68\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >=cos(<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\theta\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c32\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c32\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >\/2)&nbsp;<em>I<\/em>&nbsp;-<em>i&nbsp;<\/em>sin(<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\theta\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c32\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c32\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >\/2)Z=<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\begin{bmatrix} e^{-i\\vartheta \/2} &amp;0 \\\\ 0 &amp; e^{i\\vartheta \/2} \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c71\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c71\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><\/p>\n<p>\u5047\u8bbeRZ(<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\pi\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c38\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c38\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >\/2)\u95e8\u4f5c\u7528\u5728\u91cf\u5b50\u6001|<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\varphi\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c8\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c8\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >&gt;=a|0&gt;+b|1&gt;\u4e0a\u9762\uff0c<\/p>\n<p>\u5219\u5f97\u5230\u65b0\u7684\u91cf\u5b50\u6001\u4e3a\uff1a<\/p>\n<p>&nbsp;|<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\varphi\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c8\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c8\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >`&gt;=RZ(<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\pi\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c38\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c38\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >\/2)|<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\varphi\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c8\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c8\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >&gt;=&nbsp;<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\begin{bmatrix} 1 &amp;0 \\\\0 &amp; \\frac{\\sqrt{2}(i+1)}{2} \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c77\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c77\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\begin{bmatrix} a\\\\ b \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c12\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c12\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >=<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\begin{bmatrix} a\\\\ \\frac{\\sqrt{2}(i+1)}{2} \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c79\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c79\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >=&nbsp;<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"a|0 alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c80\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c80\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >+\\frac{\\sqrt{2}(a+b)}{2}b|1>\">&nbsp;<\/p>\n<h3>8.CNOT\u95e8<\/h3>\n<p>\u63a7\u5236\u975e\u95e8\uff0c\u662f\u4e00\u79cd\u666e\u904d\u4f7f\u7528\u7684\u4e24\u91cf\u5b50\u6bd4\u7279\u95e8\u3002<\/p>\n<p>\u5bf9\u4e8e\u4e00\u4e2an\u91cf\u5b50\u6bd4\u7279<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"|x_{n-1}\\cdots x_{0} alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c81\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c81\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >\">\u4e2d\uff0c\u4ece\u5de6\u5230\u53f3\u4f9d\u6b21\u662f\u4e8c\u8fdb\u5236\u4e2d\u7684\u9ad8\u4f4d\u5230\u4f4e\u4f4d\u3002\u4f8b\u5982|01&gt;\u4e2d\uff0c0\u4e3a\u9ad8\u4f4d\uff0c1\u4e3a\u4f4e\u4f4d\u3002<\/p>\n<p>\u5728\u91cf\u5b50\u7ebf\u8def\u56fe\u4e2d\uff0c\u4ece\u4e0a\u5230\u4e0b\u4f9d\u6b21\u4e3a\u4ece\u4f4e\u4f4d\u5230\u9ad8\u4f4d\u3002\u4e0b\u9762\u662f\u5bf9\u5e94\u7684CNOT\u95e8\u7ebf\u8def\u56fe\u8868\u793a\u3002<\/p>\n<\/p>\n<p style=\"text-align:center;\">&nbsp;<img decoding=\"async\" src=\"https:\/\/img-blog.csdnimg.cn\/3627ea8b0c294613b88362db9ed828f0.png\" =\"\" =\"\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c82\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c82\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><\/p>\n<p>\u5b9e\u5fc3\u70b9\u4e3a\u63a7\u5236\u6bd4\u7279\uff0c\u6709+\u53f7\u7684\u4e3a\u76ee\u6807\u6bd4\u7279\u3002<\/p>\n<p>&nbsp;\u5728\u8be5\u56fe\u4e0b\uff0c\u4f4e\u4f4d\u4e3a\u63a7\u5236\u6bd4\u7279\uff0c\u5219\u5bf9\u5e94\u7684CNOT\u95e8\u4e3a\uff1a<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"CNOT=\\begin{bmatrix} 1&amp;0 &amp; 0 &amp;0 \\\\ 0&amp; 0 &amp; 0 &amp;1 \\\\ 0&amp; 0 &amp; 1 &amp;0 \\\\ 0&amp; 1 &amp; 0 &amp;0 \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c83\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c83\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><\/p>\n<p>|00&gt;<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\rightarrow\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c84\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c84\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >|00&gt;\uff0c|01&gt;<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\rightarrow\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c84\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c84\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >|11&gt;\uff0c|10&gt;<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\rightarrow\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c84\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c84\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >|10&gt;\uff0c|11&gt;<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\rightarrow\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c84\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c84\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >|01\u3002<\/p>\n<p>\u5982\u679c\u9ad8\u4f4d\u4e3a\u63a7\u5236\u6bd4\u7279\uff0c\u5219\u7ebf\u8def\u56fe\u4e3a\uff1a<\/p>\n<p style=\"text-align:center;\">&nbsp;<img decoding=\"async\" src=\"https:\/\/img-blog.csdnimg.cn\/cb298fab29874652a577d9675dae0138.png\" =\"\" =\"\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c88\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c88\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><\/p>\n<p>&nbsp;\u5bf9\u5e94\u7684\u77e9\u9635\u5f62\u5f0f\u4e3a\uff1a<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"CNOT=\\begin{bmatrix} 1 &amp;0 &amp;0 &amp;0 \\\\ 0 &amp;1 &amp; 0 &amp;0 \\\\ 0&amp; 0 &amp; 0&amp;1 \\\\ 0&amp; 0 &amp;1 &amp; 0 \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c89\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c89\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><\/p>\n<p>&nbsp;|00&gt;<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\rightarrow\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c84\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c84\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >|00&gt;\uff0c|01&gt;<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\rightarrow\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c84\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c84\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >|01&gt;\uff0c|10&gt;<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\rightarrow\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c84\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c84\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >|11&gt;\uff0c|11&gt;<img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"\\rightarrow\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c84\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c84\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" >|10&gt;<\/p>\n<p>\u53ef\u4ee5\u770b\u51fa CNOT \u95e8\u7684\u542b\u4e49\u662f\u5f53\u63a7\u5236\u6bd4\u7279\u4e3a|0\u232a\u6001\u65f6\uff0c\u76ee\u6807\u6bd4\u7279\u4e0d\u53d1\u751f\u6539\u53d8\uff1b\u5f53\u63a7\u5236\u6bd4 \u7279\u4e3a|1\u232a\u6001\u65f6\uff0c\u5bf9\u76ee\u6807\u6bd4\u7279\u6267\u884c X \u95e8(\u91cf\u5b50\u975e\u95e8)\u64cd\u4f5c\u3002\u8981\u6ce8\u610f\u7684\u662f\u63a7\u5236\u6bd4\u7279\u548c\u76ee\u6807\u6bd4\u7279\u7684\u5730\u4f4d\u662f\u4e0d \u80fd\u4ea4\u6362\u7684\u3002<\/p>\n<h3>9.CR\u95e8<\/h3>\n<p>\u63a7\u5236\u76f8\u4f4d\u95e8\uff0c\u77e9\u9635\u5f62\u5f0f\u4e3a\uff1a<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/latex.csdn.net\/eq\" =\"\" =\"CR(\\theta )=\\begin{bmatrix} 1&amp;0 &amp;0 &amp;0 \\\\ 0&amp; 1 &amp; 0 &amp; 0\\\\ 0 &amp; 0 &amp;1 &amp;0 \\\\ 0&amp;0 &amp;0 &amp; e^{i\\theta } \\end{bmatrix}\" alt=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8 (https:\/\/mushiming.com\/)  \u7b2c94\u5f20\" title=\"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8  \u7b2c94\u5f20-\u7a46\u4e16\u660e\u535a\u5ba2\" ><\/p>\n<p>&nbsp;\u7c7b\u4f3c\u4e8e\u63a7\u5236\u975e\u95e8\uff0c\u5b9e\u5fc3\u70b9\u4e3a\u63a7\u5236\u6bd4\u7279\uff0c\u6709+\u53f7\u7684\u4e3a\u76ee\u6807\u6bd4\u7279\u3002\u5f53\u63a7\u5236\u6bd4\u7279\u4e3a|0\u232a\u6001\u65f6\uff0c\u76ee\u6807\u6bd4\u7279\u4e0d\u53d1\u751f\u6539\u53d8\uff1b\u5f53\u63a7\u5236\u6bd4\u7279\u4e3a|1\u232a\u6001\u65f6\uff0c\u5bf9\u76ee\u6807\u6bd4\u7279\u6267\u884c\u76f8\u53d8\u95e8\uff0c\u5176\u7279\u6b8a\u7684\u662f\uff0c\u63a7\u5236\u76f8\u4f4d\u95e8\u91cc\u4ea4\u6362\u63a7\u5236\u6bd4\u7279\u548c\u76ee\u6807\u6bd4\u7279\u7684\u89d2\u8272\uff0c\u77e9\u9635\u5f62\u5f0f\u4e0d\u4f1a\u53d1\u751f\u4efb\u4f55\u6539\u53d8\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p><\/p>\n","protected":false},"excerpt":{"rendered":"\u5b66\u4e60\u7b14\u8bb0-\u91cf\u5b50\u95e8\u91cf\u5b50\u8ba1\u7b97\uff0c\u91cf\u5b50\u95e8_\u91cf\u5b50\u95e8\u6709\u54ea\u4e9b","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"_links":{"self":[{"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/posts\/6443"}],"collection":[{"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/comments?post=6443"}],"version-history":[{"count":0,"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/posts\/6443\/revisions"}],"wp:attachment":[{"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/media?parent=6443"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/categories?post=6443"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mushiming.com\/wp-json\/wp\/v2\/tags?post=6443"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}