Optimized three-level quantum transfers based on frequency-modulated optical excitations

Petiziol, Francesco; Arimondo, E.; Giannelli, Luigi; Mintert, Florian; Wimberger, Sandro

doi:10.1038/s41598-020-59046-8

Cited by 27 publications

(20 citation statements)

References 50 publications

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“…3. For a list of various pulse shapes used in literature and the relative superadiabatic solution we refer to [38,39].…”

Section: Stirapmentioning

confidence: 99%

A Tutorial on Optimal Control and Reinforcement Learning methods for Quantum Technologies

Giannelli,

Sgroi,

Brown

et al. 2021

Preprint

Self Cite

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Quantum Optimal Control is an established field of research which is necessary for the development of Quantum Technologies. Quantum Machine Learning is a fast emerging field in which the theory of Quantum Mechanics and Machine Learning fuse together in order to learn and benefit from each other. In particular, Reinforcement Learning has a direct application in control problems. In this tutorial we introduce the methods of Quantum Optimal Control and Reinforcement Learning by applying them to the problem of three-level population transfer. The jupyter notebooks to reproduce some of our results are open-sourced and available on github 1 .

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“…3. For a list of various pulse shapes used in literature and the relative superadiabatic solution we refer to [38,39].…”

Section: Stirapmentioning

confidence: 99%

A Tutorial on Optimal Control and Reinforcement Learning methods for Quantum Technologies

Giannelli,

Sgroi,

Brown

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…the off-diagonal elements in H ′ 2 will vanish [52,53,65]. It means that the system will be locked in the dark state during adiabatic evolution, i.e., the three-level quantum battery can be charged or discharge through STA.…”

Section: Modelmentioning

confidence: 99%

Highly efficient charging and discharging of three-level quantum batteries through shortcuts to adiabaticity

Dou,

Wang,

Sun

2021

Preprint

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Quantum batteries are energy storage devices that satisfy quantum mechanical principles. How to improve the battery's performance such as stored energy and power is a crucial element in the quantum battery. Here, we investigate the charging and discharging dynamics of a three-level counterdiabatic stimulated Raman adiabatic passage quantum battery via shortcuts to adiabaticity, which can compensate for undesired transitions to realize a fast adiabatic evolution through the application of an additional control field to an initial Hamiltonian. The scheme can significantly speed up the charging and discharging processes of a three-level quantum battery and obtain more stored energy and higher power compared with the original stimulated Raman adiabatic passage. We explore the effect of both the amplitude and the delay time of driving fields on the performances of the quantum battery. Possible experimental implementation in superconducting circuit and nitrogenvacancy center is also discussed.

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“…[24] dissipation is ignored and the minimum transfer time optimal control problem is considered. Besides the above works, which use analytical or numerical optimal control methods to maximize STIRAP efficiency, several other methods, belonging in the family of shortcuts to adiabaticity [25], have been developed [26][27][28][29][30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Optimal shape of STIRAP pulses for large dissipation at the intermediate level

Stefanatos

Paspalakis

2021

Quantum Inf Process

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We study the problem of maximizing population transfer efficiency in the STIRAP system for the case where the dissipation rate of the intermediate state is much higher than the maximum amplitude of the control fields. Under this assumption, the original three-level system can be reduced to a couple of equations involving the initial and target states only. We find the control fields which maximize the population transfer to the target state for a given duration T , without using any penalty involving the population of the lossy intermediate state, but under the constraint that the sum of the intensities of the pump and Stokes pulses is constant, so the total field has constant amplitude and the only control parameter is the mixing angle of the two fields. In the optimal solution the mixing angle changes in the bang-singular-bang manner, where the initial and final bangs correspond to equal instantaneous rotations, while the intermediate singular arc to a linear change with time. We show that the optimal angle of the initial and final rotations is the unique solution of a transcendental equation where duration T appears as a parameter, while the optimal slope of the intermediate linear change as well as the optimal transfer efficiency is expressed as functions of this optimal angle. The corresponding optimal solution recovers the counterintuitive pulse-sequence, with nonzero pump and Stokes fields at the boundaries. We also show with numerical simulations that transfer efficiency values close to the optimal derived using the approximate system can also be obtained with the original STIRAP system using dissipation rates comparable to the maximum control amplitude.

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Optimized three-level quantum transfers based on frequency-modulated optical excitations

Cited by 27 publications

References 50 publications

A Tutorial on Optimal Control and Reinforcement Learning methods for Quantum Technologies

A Tutorial on Optimal Control and Reinforcement Learning methods for Quantum Technologies

Highly efficient charging and discharging of three-level quantum batteries through shortcuts to adiabaticity

Optimal shape of STIRAP pulses for large dissipation at the intermediate level

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