论文标题

开放量子系统的量子zeno效应

Quantum Zeno effect for open quantum systems

论文作者

Becker, Simon, Datta, Nilanjana, Salzmann, Robert

论文摘要

我们证明了开放量子系统中的量子Zeno效应,其演变受量子动力学半群的控制,反复并经常被量子操作的作用打断。对于具有有界发电机的量子动力学半群的情况,我们的分析会导致现有结果的细化,并将其扩展到较大的量子操作。我们还证明了一种新型强量子Zeno限制的量子操作的存在,而该量子操作的某些光谱差距假设(所有先前的结果都依赖)被取消。取而代之的是,量子操作需要满足强大功率连接的较弱特性。此外,我们首次确定了无限发电机情况的量子Zeno限制。我们还提供了各种有趣的量子操作示例,我们的结果适用。

We prove the quantum Zeno effect in open quantum systems whose evolution, governed by quantum dynamical semigroups, is repeatedly and frequently interrupted by the action of a quantum operation. For the case of a quantum dynamical semigroup with a bounded generator, our analysis leads to a refinement of existing results and extends them to a larger class of quantum operations. We also prove the existence of a novel strong quantum Zeno limit for quantum operations for which a certain spectral gap assumption, which all previous results relied on, is lifted. The quantum operations are instead required to satisfy a weaker property of strong power-convergence. In addition, we establish, for the first time, the existence of a quantum Zeno limit for the case of unbounded generators. We also provide a variety of physically interesting examples of quantum operations to which our results apply.

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