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Gibbs jupyter
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liushusen committed May 20, 2020
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"- 具体的我们参考的是[4]中的方法(核心思想是利用吉布斯态达到了最小自由能的性质)。\n",
"- 通过作用量子神经网络$U(\\theta)$在初始态上,我们可以得到输出态$\\left| {\\psi \\left( {\\bf{\\theta }} \\right)} \\right\\rangle $, 其在第2-4个量子位的态记为$\\rho_B(\\theta)$.\n",
"- 设置训练模型中的的损失函数,在吉布斯态学习中,我们利用冯诺依曼熵函数的截断来进行自由能的估计,相应的损失函数参考[4]可以设为 \n",
"$loss= {L_1} + {L_2} + {L_3}$,其中 ${L_1}= tr(H\\rho_B)$, ${L_2} = 2{\\beta^{-1}}{\\mathop{Tr}}(\\rho_B^2)$ , $L_3 = - {\\beta ^{ - 1}}\\frac{{Tr(\\rho_B^3) + 3}}{2}$."
"$loss= {L_1} + {L_2} + {L_3}$,其中 ${L_1}= tr(H\\rho_B)$, ${L_2} = 2{\\beta^{-1}}{Tr}(\\rho_B^2)$ , $L_3 = - {\\beta ^{ - 1}}\\frac{{Tr(\\rho_B^3) + 3}}{2}$."
]
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{
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