量子信念传播
Quantum Belief Propagation
摘要：
我们提出了一种精确的数值算法，称为量子信念传播（QBP），在非零温度下的一维量子系统的模拟。该算法利用的事实，即量子效应在这些系统中在非零温度下是短程的，在长度尺度上与温度成反比地衰减。我们比较了自旋为1/2的海森堡链的精确结果。即使是一个非常温和的计算，只需要对角化10 × 10矩阵，再现峰值磁化率的相对误差小于$10^{-5}$，而更精细的计算进一步减少错误。
英文摘要：
We present an accurate numerical algorithm, called quantum belief propagation (QBP), for simulation of one-dimensional quantum systems at non-zero temperature. The algorithm exploits the fact that quantum effects are short-range in these systems at non-zero temperature, decaying on a length scale inversely proportional to the temperature. We compare to exact results on a spin-1/2 Heisenberg chain. Even a very modest calculation, requiring diagonalizing only 10-by-10 matrices, reproduces the peak susceptibility with a relative error of less than $10^{-5}$, while more elaborate calculations further reduce the error.
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