Quantum dynamical resource theory under resource non-increasing framework

doi:10.1088/1674-1056/aca398

中国物理B ›› 2023, Vol. 32 ›› Issue (4): 40305-040305.doi: 10.1088/1674-1056/aca398

Quantum dynamical resource theory under resource non-increasing framework

Si-Ren Yang(杨思忍) and Chang-Shui Yu(于长水)^†

School of Physics, Dalian University of Technology, Dalian 116024, China

收稿日期:2022-07-28 修回日期:2022-09-26 接受日期:2022-11-17 出版日期:2023-03-10 发布日期:2023-03-23
通讯作者: Chang-Shui Yu E-mail:ycs@dlut.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12175029, 11775040, and 12011530014).

Quantum dynamical resource theory under resource non-increasing framework

Si-Ren Yang(杨思忍) and Chang-Shui Yu(于长水)^†

School of Physics, Dalian University of Technology, Dalian 116024, China

Received:2022-07-28 Revised:2022-09-26 Accepted:2022-11-17 Online:2023-03-10 Published:2023-03-23
Contact: Chang-Shui Yu E-mail:ycs@dlut.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12175029, 11775040, and 12011530014).

摘要/Abstract

摘要： We define the resource non-increasing (RNI) framework to study the dynamical resource theory. With this definition, we propose several potential quantification candidates under various free operation sets. For explicit demonstrations, we quantify the quantum dynamical coherence in the scenarios with and without post-selective measurements. Correspondingly, we show that the maximally incoherent operations (MIO) and the incoherent operations (IO) in the static coherence resource theory are free in the sense of dynamical coherence. We also provide operational meanings for the measures by the quantum discrimination tasks. Moreover, for the dynamical total coherence, we also present convenient measures and give the analytic calculation for the amplitude damping channel.

关键词: quantum resource theory, quantum channels, quantum coherence

Abstract: We define the resource non-increasing (RNI) framework to study the dynamical resource theory. With this definition, we propose several potential quantification candidates under various free operation sets. For explicit demonstrations, we quantify the quantum dynamical coherence in the scenarios with and without post-selective measurements. Correspondingly, we show that the maximally incoherent operations (MIO) and the incoherent operations (IO) in the static coherence resource theory are free in the sense of dynamical coherence. We also provide operational meanings for the measures by the quantum discrimination tasks. Moreover, for the dynamical total coherence, we also present convenient measures and give the analytic calculation for the amplitude damping channel.

Key words: quantum resource theory, quantum channels, quantum coherence

中图分类号: (Quantum information)

03.67.-a

03.67.Mn (Entanglement measures, witnesses, and other characterizations) 03.67.Hk (Quantum communication) 34.80.Pa (Coherence and correlation)

Si-Ren Yang(杨思忍) and Chang-Shui Yu(于长水). Quantum dynamical resource theory under resource non-increasing framework[J]. 中国物理B, 2023, 32(4): 40305-040305.

Si-Ren Yang(杨思忍) and Chang-Shui Yu(于长水). Quantum dynamical resource theory under resource non-increasing framework[J]. Chin. Phys. B, 2023, 32(4): 40305-040305.

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Quantum dynamical resource theory under resource non-increasing framework

Quantum dynamical resource theory under resource non-increasing framework

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