Non-Markovian dynamics under time-translation symmetry

Dann, Roie; Megier, Nina; Kosloff, Ronnie

doi:10.48550/arxiv.2106.05295

Cited by 5 publications

(12 citation statements)

References 99 publications

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“…Given the complication in non-Markovian control due to memory kernels (see above), the gain of simplification by a Markovian substitute covering the pertinent time-window of the experiment would be most welcome. Compatibility with thermodynamics can add an additional aspect to classify the equations of motion in either the Markovian or non-Markovian case [169], cf. Subsec.…”

Section: Further Characterization Of Markovian and Non-markovian Quan...mentioning

confidence: 99%

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Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe

Koch,

Boscain,

Calarco

et al. 2022

Preprint

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Quantum optimal control, a toolbox for devising and implementing the shapes of external fields that accomplish given tasks in the operation of a quantum device in the best way possible, has evolved into one of the cornerstones for enabling quantum technologies. The last few years have seen a rapid evolution and expansion of the field. We review here recent progress in our understanding of the controllability of open quantum systems and in the development and application of quantum control techniques to quantum technologies. We also address key challenges and sketch a roadmap for future developments.

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Section: Further Characterization Of Markovian and Non-markovian Quan...mentioning

confidence: 99%

“…(a) Thermodynamical consistency restricts the structure of the open system control GKLS master equation [20,163,164,169,596]. (b) Certain control task require a change of entropy, such as reset or thermalization [52,56,166,168,227,558,559].…”

Section: Quantum Thermodynamicsmentioning

confidence: 99%

Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe

Koch,

Boscain,

Calarco

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…, where i = j/2 corresponds to a conjugate pair of eigenopertors. In the weak coupling limit and under Markovian dynamics, these coefficients can be calculated from the Fourier transform of the environment correlation functions with instantaneous frequency ω j (t) (18,19). The dynamical equation leads to ρS (t) (step iii), which allows calculating the control objective.…”

Section: Introductionmentioning

confidence: 99%

Controlling the uncontrollable: Quantum control of open system dynamics

Kallush¹,

Dann²,

Kosloff³

2022

Preprint

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Control of open quantum systems is an essential ingredient to the realization of contemporary quantum science and technology. We demonstrate such control by employing a thermodynamically consistent framework, taking into account the fact that the drive can modify the interaction with environment. Such an effect is incorporated within the dynamical equation, leading to control dependent dissipation, this relation serves as the key element for open system control.Thermodynamics of the control process is reflected by a unidirectional flow of energy to the environment resulting in large entropy production. The control paradigm is displayed by analyzing entropy changing state to state transformations, such as heating and cooling. In addition, the generation of quantum gates under dissipative conditions is demonstrated for both non-unitary reset maps with complete memory loss and a universal set of single and double qubit unitary gates.

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“…The four assumptions and associated symmetry are sufficient to set the form of the dynamical generator L t [10,12]. The control dynamical equation is of the Gorini Kossakowski Lindblad Sudarshan (GKLS) form [13,14]…”

Section: Introductionmentioning

confidence: 99%

“…The jump operators come in pairs, which motivates introducing the associated coefficients k j,↑ (t) , k j,↓ (t) for each pair j. In the weak coupling limit and under Markovian dynamics, these coefficients can be calculated from the Fourier transform of the bath correlation function with instantaneous frequency ω j (t) (NAME) [12,17]. The dynamical equation leads to ρS (t) (step 3), which allows calculating the control objective and used to update the control field (step 4).…”

Section: Introductionmentioning

confidence: 99%

Controlling the uncontrollable: Quantum control of open system dynamics

Kallush¹,

Dann²,

Kosloff³

2021

Preprint

Self Cite

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Quantum control of an open system is demonstrated employing a thermodynamically consistent master equation. In this framework, the open system dynamics depend on the control protocol due to the dressing of the system by the drive. This interrelation serves as the key element for control. The influence of the external drive is incorporated within the dynamical equation, enabling an indirect control of the dissipation. The control paradigm is displayed by analyzing entropy changing state to state transformations, heating and cooling N-levels systems. Following, we study the generation of quantum non-unitary maps via coherent control. These include both reset maps with complete memory loss and single qubit unitary maps under dissipative conditions.

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Non-Markovian dynamics under time-translation symmetry

Cited by 5 publications

References 99 publications

Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe

Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe

Controlling the uncontrollable: Quantum control of open system dynamics

Controlling the uncontrollable: Quantum control of open system dynamics

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