Control of the von Neumann Entropy for an Open Two-Qubit System Using Coherent and Incoherent Drives
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929339335966720 |
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| author | Morzhin, Oleg Pechen, Alexander |
| author_facet | Morzhin, Oleg Pechen, Alexander |
| contents | 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 $S(ρ(t)) \leq \overline{S}$ for a given $\overline{S}$; (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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06365 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Control of the von Neumann Entropy for an Open Two-Qubit System Using Coherent and Incoherent Drives Morzhin, Oleg Pechen, Alexander Quantum Physics 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 $S(ρ(t)) \leq \overline{S}$ for a given $\overline{S}$; (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. |
| title | Control of the von Neumann Entropy for an Open Two-Qubit System Using Coherent and Incoherent Drives |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2405.06365 |