Morzhin Oleg V, Pechen Alexander N
Department of Mathematical Methods for Quantum Technologies & Steklov International Mathematical Center, Steklov Mathematical Institute of Russian Academy of Sciences, 8 Gubkina Str., 119991 Moscow, Russia
Entropy (Basel). 2023 Dec 29;26(1):36. doi: 10.3390/e26010036.
This article is devoted to developing an approach for manipulating the von Neumann entropy S(ρ(t)) of an open two-qubit system with coherent control and incoherent control inducing time-dependent decoherence rates. The following goals are considered: (a) minimizing or maximizing the final entropy S(ρ(T)); (b) steering S(ρ(T)) to a given target value; (c) steering S(ρ(T)) to a target value and satisfying the pointwise state constraint S(ρ(t))≤S¯ for a given S¯; (d) keeping S(ρ(t)) constant at a given time interval. Under the Markovian dynamics determined by a Gorini-Kossakowski-Sudarshan-Lindblad type master equation, which contains coherent and incoherent controls, one- and two-step gradient projection methods and genetic algorithm have been adapted, taking into account the specifics of the objective functionals. The corresponding numerical results are provided and discussed.
本文致力于开发一种方法，用于通过相干控制和诱导时间相关退相干率的非相干控制来操纵开放两量子比特系统的冯·诺依曼熵(S(\rho(t)))。考虑了以下目标：(a) 最小化或最大化最终熵(S(\rho(T)))；(b) 将(S(\rho(T)))引导至给定目标值；(c) 将(S(\rho(T)))引导至目标值并满足对于给定的(\overline{S})的逐点状态约束(S(\rho(t))\leq\overline{S})；(d) 在给定时间间隔内使(S(\rho(t)))保持恒定。在由包含相干和非相干控制的戈里尼 - 科萨克夫斯基 - 苏达山 - 林德布拉德型主方程确定的马尔可夫动力学下，考虑到目标泛函的具体情况，采用了一步和两步梯度投影方法以及遗传算法。提供并讨论了相应的数值结果。
