On the universal constraints for relaxation rates for quantum dynamical semigroup

量子比特Schwarz映射半群弛豫速率的普适约束

Universal constraint for relaxation rates of semigroups of qubit Schwarz maps

本文证明了单比特Schwarz映射半群的弛豫速率满足普适约束，修正了完全正半群的已知约束，并为该映射的谱提供了普适约束及马尔可夫性的必要条件。

马尔可夫开放量子系统的普适模拟

Universal simulation of Markovian open quantum systems

我们考虑的问题是构造一个“普适集”的马尔可夫过程，这样任何马尔可夫开放量子系统，描述了一个单参数半群的量子信道，可以模拟通过顺序模拟的过程从普适集。特别地，对于$d$维的量子系统，我们明确地构造了一个由$d^2-3$连续参数表示的半群生成元的泛集，并证明了对一个$d$维马尔可夫量子系统进行动力学模拟的充要条件是能够实现a）从由泛集生成元的半群生成量子信道，以及b）系统上的酉操作。此外，我们提供了一个显式的算法模拟的马尔可夫开放量子系统的动力学使用这个通用的发电机集，并表明它是有效的，相对于这个通用集，当不同的Lindblad运营商（代表物理耗散过程）的数量相对于子系统的数量多项式尺度。

马尔可夫动力学中由间接控制驱动的平衡松弛

Relaxation to equilibrium driven via indirect control in Markovian dynamics

我们的特点是在多大程度上可以修改的量子动力学半群的定态，描述了一个两级系统的不可逆演化，通过一个辅助的两级系统。我们考虑的系统，可以最初纠缠或不相关。我们发现，间接控制的定态是可能的，即使没有初始的相关性，在适当的条件下的动力学参数表征的联合系统的演变。

Universal Constraints on Relaxation Times for d-level GKLS master equations

In 1976, Gorini, Kossakowski, Sudarshan and Lindblad independently discovered a general form of master equations for an open quantum Markovian dynamics. In honor of all the authors, the equation is nowadays called the GKLS master equation. In this paper, we show universal constraints on the relaxation times valid for any d-level GKLS master equations, which is a generalization of the well-known constraints for 2-level systems. Specifically, we show that any relaxation rate, the inverse-relaxation time, is not greater than half of the sum of all relaxation rates. Since the relaxation times are …

Quantum simulation of FMO complex using one-parameter semigroup of generators

The application of open quantum systems in biological processes such as photosynthetic complexes has recently received renewed attention. In this paper, we introduce a quantum algorithm for simulation of Markovian dynamics of the Fenna-Matthew-Olson (FMO) complex that exists in photosynthesis using a "universal set" of a one-parameter semigroup of generators. We investigate the details of each generator that has been obtained from spectral decomposition of the Gorini-Kossakowski-Sudarshan (GKS) matrix by using linear combination and unitary conjugation. Also, we present a simple quantum circui…

量子动力学半群的涨落-耗散结构揭示唯一的内哈密顿量

A Fluctuation-Dissipation Structure of Quantum Dynamical Semigroups Reveals a Unique Internal Hamiltonian

通过精炼量子动力学半群的涨落-耗散框架，解决了马尔可夫主方程中长期存在的歧义，证明了扩散-耗散结构在Lindblad生成元对称性下不变，从而唯一确定内哈密顿量。