中国物理B ›› 2024, Vol. 33 ›› Issue (2): 20312-020312.doi: 10.1088/1674-1056/ad09d0

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Simulation of optimal work extraction for quantum systems with work storage

Peng-Fei Song(宋鹏飞)1 and Dan-Bo Zhang(张旦波)1,2,†   

  1. 1 Key Laboratory of Atomic and Subatomic Structure and Quantum Control(Ministry of Education), and School of Physics, South China Normal University, Guangzhou 510006, China;
    2 Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, Guangdong-Hong Kong Joint Laboratory of Quantum Matter, and Frontier Research Institute for Physics, South China Normal University, Guangzhou 510006, China
  • 收稿日期:2023-09-05 修回日期:2023-10-24 接受日期:2023-11-06 出版日期:2024-01-16 发布日期:2024-01-19
  • 通讯作者: Dan-Bo Zhang E-mail:dbzhang@m.scnu.edu.cn
  • 基金资助:
    Project supported by the Guangdong Basic and Applied Basic Research Fund (Grant No. 2023A1515011460) and the National Natural Science Foundation of China (Grant No. 12375013).

Simulation of optimal work extraction for quantum systems with work storage

Peng-Fei Song(宋鹏飞)1 and Dan-Bo Zhang(张旦波)1,2,†   

  1. 1 Key Laboratory of Atomic and Subatomic Structure and Quantum Control(Ministry of Education), and School of Physics, South China Normal University, Guangzhou 510006, China;
    2 Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, Guangdong-Hong Kong Joint Laboratory of Quantum Matter, and Frontier Research Institute for Physics, South China Normal University, Guangzhou 510006, China
  • Received:2023-09-05 Revised:2023-10-24 Accepted:2023-11-06 Online:2024-01-16 Published:2024-01-19
  • Contact: Dan-Bo Zhang E-mail:dbzhang@m.scnu.edu.cn
  • Supported by:
    Project supported by the Guangdong Basic and Applied Basic Research Fund (Grant No. 2023A1515011460) and the National Natural Science Foundation of China (Grant No. 12375013).

摘要: The capacity to extract work from a quantum heat machine is not only of practical value but also lies at the heart of understanding quantum thermodynamics. In this paper, we investigate optimal work extraction for quantum systems with work storage, where extracting work is completed by a unitary evolution on the composite system. We consider the physical requirement of energy conservation both strictly and on average. For both, we construct their corresponding unitaries and propose variational quantum algorithms for optimal work extraction. We show that maximal work extraction in general can be feasible when energy conservation is satisfied on average. We demonstrate with numeral simulations using a continuous-variable work storage. Our work show an implementation of a variational quantum computing approach for simulating work extraction in quantum systems.

关键词: quantum algorithm, quantum thermodyanmics

Abstract: The capacity to extract work from a quantum heat machine is not only of practical value but also lies at the heart of understanding quantum thermodynamics. In this paper, we investigate optimal work extraction for quantum systems with work storage, where extracting work is completed by a unitary evolution on the composite system. We consider the physical requirement of energy conservation both strictly and on average. For both, we construct their corresponding unitaries and propose variational quantum algorithms for optimal work extraction. We show that maximal work extraction in general can be feasible when energy conservation is satisfied on average. We demonstrate with numeral simulations using a continuous-variable work storage. Our work show an implementation of a variational quantum computing approach for simulating work extraction in quantum systems.

Key words: quantum algorithm, quantum thermodyanmics

中图分类号:  (Quantum algorithms, protocols, and simulations)

  • 03.67.Ac
05.70.-a (Thermodynamics)