Work extraction from coherently activated maps via quantum switch

Kyrylo Simonov; Gianluca Francica; Giacomo Guarnieri; Mauro Paternostro

doi:10.1103/PhysRevA.105.032217

Work extraction from coherently activated maps via quantum switch

Kyrylo Simonov, Gianluca Francica, Giacomo Guarnieri, Mauro Paternostro

School of Mathematics and Physics

Research output: Contribution to journal › Article › peer-review

34 Citations (Scopus)

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Abstract

We characterize the impact that the application of two maps in a quantum-controlled order has on the process of work extraction via unitary cycles and its optimization. The control is based on the quantum switch model that applies maps in an order not necessarily compatible with the underlying causal structure and, in principle, can be implemented experimentally. First, we show that the activation of quantum maps through the quantum switch model always entails a non-negative gain in ergotropy compared to their consecutive application. We also establish a condition that the maps should fulfill in order to achieve a nonzero ergotropic gain. We then perform a thorough analysis of maps applied to a two-level system and provide general conditions for achieving a positive gain on the incoherent part of ergotropy. Our results are illustrated with several examples and applied to qubit and d-dimensional quantum systems. In particular, we demonstrate that a nonzero work can be extracted from a system thermalized by two coherently controlled reservoirs.

Original language	English
Article number	032217
Journal	Physical Review A
Volume	105
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.105.032217
Publication status	Published - 31 Mar 2022

Bibliographical note

Funding Information:
We are grateful to Časlav Brukner, Giulio Chiribella, Philippe Allard Guérin, Tamal Guha, Hlér Kristjánsson, Ilya Kull, Gonzalo Manzano, Giulia Rubino, Roy Saptarshi, Uttam Singh, and Zoltán Zimborás for the fruitful discussions and three anonymous referees for the useful and valuable comments to the manuscript. We acknowledge support from the Austrian Science Fund (Grant No. FWF-P30821), the European Research Council Starting Grant ODYSSEY (Grant No. 758403), the H2020-FETOPEN-2018-2020 project TEQ (Grant No. 766900), the DfE-SFI Investigator Programme (Grant No. 15/IA/2864), COST Action CA15220, the Royal Society Wolfson Research Fellowship (RSWF/R3/183013) and International Exchanges Programme (IEC/R2/192220), the Leverhulme Trust Research Project Grant (Grant No. RGP-2018-266), the UK EPSRC (EP/T028424/1), and the Department for the Economy Northern Ireland under the US-Ireland R&D Partnership Programme (USI 175). G.G. acknowledges support from FQXi and DFG FOR2724 and also from the European Union Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 101026667.

Publisher Copyright:
© 2022 American Physical Society.

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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Work extraction from coherently activated maps via quantum switch
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Cite this

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title = "Work extraction from coherently activated maps via quantum switch",

abstract = "We characterize the impact that the application of two maps in a quantum-controlled order has on the process of work extraction via unitary cycles and its optimization. The control is based on the quantum switch model that applies maps in an order not necessarily compatible with the underlying causal structure and, in principle, can be implemented experimentally. First, we show that the activation of quantum maps through the quantum switch model always entails a non-negative gain in ergotropy compared to their consecutive application. We also establish a condition that the maps should fulfill in order to achieve a nonzero ergotropic gain. We then perform a thorough analysis of maps applied to a two-level system and provide general conditions for achieving a positive gain on the incoherent part of ergotropy. Our results are illustrated with several examples and applied to qubit and d-dimensional quantum systems. In particular, we demonstrate that a nonzero work can be extracted from a system thermalized by two coherently controlled reservoirs.",

author = "Kyrylo Simonov and Gianluca Francica and Giacomo Guarnieri and Mauro Paternostro",

note = "Funding Information: We are grateful to {\v C}aslav Brukner, Giulio Chiribella, Philippe Allard Gu{\'e}rin, Tamal Guha, Hl{\'e}r Kristj{\'a}nsson, Ilya Kull, Gonzalo Manzano, Giulia Rubino, Roy Saptarshi, Uttam Singh, and Zolt{\'a}n Zimbor{\'a}s for the fruitful discussions and three anonymous referees for the useful and valuable comments to the manuscript. We acknowledge support from the Austrian Science Fund (Grant No. FWF-P30821), the European Research Council Starting Grant ODYSSEY (Grant No. 758403), the H2020-FETOPEN-2018-2020 project TEQ (Grant No. 766900), the DfE-SFI Investigator Programme (Grant No. 15/IA/2864), COST Action CA15220, the Royal Society Wolfson Research Fellowship (RSWF/R3/183013) and International Exchanges Programme (IEC/R2/192220), the Leverhulme Trust Research Project Grant (Grant No. RGP-2018-266), the UK EPSRC (EP/T028424/1), and the Department for the Economy Northern Ireland under the US-Ireland R&D Partnership Programme (USI 175). G.G. acknowledges support from FQXi and DFG FOR2724 and also from the European Union Horizon 2020 research and innovation programme under the Marie Sk{\l}odowska-Curie grant agreement No. 101026667. Publisher Copyright: {\textcopyright} 2022 American Physical Society.",

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N2 - We characterize the impact that the application of two maps in a quantum-controlled order has on the process of work extraction via unitary cycles and its optimization. The control is based on the quantum switch model that applies maps in an order not necessarily compatible with the underlying causal structure and, in principle, can be implemented experimentally. First, we show that the activation of quantum maps through the quantum switch model always entails a non-negative gain in ergotropy compared to their consecutive application. We also establish a condition that the maps should fulfill in order to achieve a nonzero ergotropic gain. We then perform a thorough analysis of maps applied to a two-level system and provide general conditions for achieving a positive gain on the incoherent part of ergotropy. Our results are illustrated with several examples and applied to qubit and d-dimensional quantum systems. In particular, we demonstrate that a nonzero work can be extracted from a system thermalized by two coherently controlled reservoirs.

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DO - 10.1103/PhysRevA.105.032217

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JO - Physical Review A

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ER -

Work extraction from coherently activated maps via quantum switch

Abstract

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