Spatially Control of Quantum Entropy in a Three-level Medium

khudhair, Dunia Abbas; Fathdal, Fay; Raheem, Al-Behadili Faisal; Hussain, A.’laa Hassan Abdul; Adnan, Samar; Kadhim, Athmar Ali; Adhab, Ayat Hussein

doi:10.1007/s10773-022-05234-3

Cited by 2 publications

(1 citation statement)

References 47 publications

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“…In [50][51][52], a controller design approach for a closed quantum system described by the Scrödinger equation in terms of the von Neumann/Shannon entropy was proposed. Reference [53] considers the spatial control of entropy for a three-level ladder-type atomic system that interacts with optical laser fields and an incoherent pumping field.…”

Section: Introductionmentioning

confidence: 99%

On Reachable and Controllability Sets for Minimum-Time Control of an Open Two-Level Quantum System

Моржин

Pechen

2021

Proc. Steklov Inst. Math.

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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.

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Section: Introductionmentioning

confidence: 99%

On Reachable and Controllability Sets for Minimum-Time Control of an Open Two-Level Quantum System

Моржин

Pechen

2021

Proc. Steklov Inst. Math.

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Control of the von Neumann Entropy for an Open Two-Qubit System Using Coherent and Incoherent Drives

Morzhin,

Pechen

2023

Entropy

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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.

show abstract

Spatially Control of Quantum Entropy in a Three-level Medium

Cited by 2 publications

References 47 publications

On Reachable and Controllability Sets for Minimum-Time Control of an Open Two-Level Quantum System

On Reachable and Controllability Sets for Minimum-Time Control of an Open Two-Level Quantum System

Control of the von Neumann Entropy for an Open Two-Qubit System Using Coherent and Incoherent Drives

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