遍历量子过程的大数定律与中心极限定理
Law of large numbers and central limit theorem for ergodic quantum processes
AI总结：
本文针对遍历量子过程，在不可约和混合条件下证明了中心极限定理，刻画了围绕遍历极限的波动，推广了独立量子过程的结果。
摘要：
离散量子过程由一系列量子操作表示，这些操作是完全正映射，但不一定保持迹。我们考虑通过重复迭代带噪声的量子操作而获得的量子过程。此类遍历量子过程推广了独立量子过程。Movassagh和Schenker最近获得了描述此类过程一般类别收敛到平衡的遍历定理。在不可约性和混合条件下，我们获得了描述遍历极限周围波动的中心极限型定理。
英文摘要：
A discrete quantum process is represented by a sequence of quantum operations, which are completely positive maps that are not necessarily trace preserving. We consider quantum processes that are obtained by repeated iterations of a quantum operation with noise. Such ergodic quantum processes generalize independent quantum processes. An ergodic theorem describing convergence to equilibrium for a general class of such processes was recently obtained by Movassagh and Schenker. Under irreducibility and mixing conditions, we obtain a central limit type theorem describing fluctuations around the ergodic limit.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
