随机矩阵乘积态
Stochastic Matrix Product States
摘要：
引入了随机矩阵乘积状态的概念，导出了随机矩阵乘积状态的自然形式。这允许定义模拟施密特系数的非平衡随机过程的稳态。我们讨论了一种新的措施，这是类似于纠缠熵，熵成本$S_C$的相关性，并表明，这种措施量化的键的尺寸需要代表一个稳定的状态作为矩阵产品状态。我们说明了这些概念的不对称排斥过程的手。
英文摘要：
The concept of stochastic matrix product states is introduced and a natural form for the states is derived. This allows to define the analogue of Schmidt coefficients for steady states of non-equilibrium stochastic processes. We discuss a new measure for correlations which is analogous to the entanglement entropy, the entropy cost $S_C$, and show that this measure quantifies the bond dimension needed to represent a steady state as a matrix product state. We illustrate these concepts on the hand of the asymmetric exclusion process.
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