Non-Markovian quantum control as coherent stochastic trajectories
Non-Markovian quantum control as coherent stochastic trajectories
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作为相干随机轨迹的非马尔可夫量子控制
DOI：
10.1088/1751-8121/aabb1e
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
K. Modi
中科院分区：
文献类型：
--
作者：
Fattah Sakuldee;Simon Milz;F. A. Pollock;K. Modi
我们提出了随机量子轨道的概念。首先，我们构造了一个基本轨迹集，称为基本轨迹，并继续证明任何量子动力学过程，包括那些非马尔可夫过程，都可以表示为这个集合的线性组合。然后，我们表明，一组的过程分为两个自然类：那些可以表示为一个凸混合的基本轨迹和那些不能。前者被证明是纠缠打破过程（在每一步），而后者被称为相干过程。这种过程的划分类似于可分离态和纠缠态。在本文的后半部分，我们用信息论博弈证明了，当一个过程是非马尔可夫过程时，相干轨迹允许与环境解耦，同时保留编码到系统中的任意量子信息。我们给出明确的时间相关性（量化非马尔可夫）的表达式，并表明，在一般情况下，有更多的量子相关性比经典的。这表明非马尔可夫量子过程确实与经典量子过程有着本质的不同。此外，我们演示了如何连贯的轨迹（与援助的连贯控制）可以把非马尔可夫性成为一种资源。在本文的最后一节中，我们探讨了这种现象在一个方便的一组基础轨迹的几何图片。
We develop a notion of stochastic quantum trajectories. First, we construct a basis set of trajectories, called elementary trajectories, and go on to show that any quantum dynamical process, including those that are non-Markovian, can be expressed as a linear combination of this set. We then show that the set of processes divide into two natural classes: those that can be expressed as a convex mixture of elementary trajectories and those that cannot be. The former are shown to be entanglement breaking processes (in each step), while the latter are dubbed coherent processes. This division of processes is analogous to separable and entangled states. In the second half of the paper, we show, with an information theoretic game, that when a process is non-Markovian, coherent trajectories allow for decoupling from the environment while preserving arbitrary quantum information encoded into the system. We give explicit expressions for the temporal correlations (quantifying non-Markovianity) and show that, in general, there are more quantum correlations than classical ones. This shows that non-Markovian quantum processes are indeed fundamentally different from their classical counterparts. Furthermore, we demonstrate how coherent trajectories (with the aid of coherent control) could turn non-Markovianity into a resource. In the final section of the paper we explore this phenomenon in a geometric picture with a convenient set of basis trajectories.
影响因子：
2.9
作者：
C. Arenz;R. Hillier;M. Fraas;D. Burgarth
通讯作者：
C. Arenz;R. Hillier;M. Fraas;D. Burgarth