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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 |
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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.
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Received: 28 July 2022
Revised: 26 September 2022
Accepted manuscript online: 17 November 2022
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PACS:
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03.67.-a
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(Quantum information)
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03.67.Mn
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(Entanglement measures, witnesses, and other characterizations)
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03.67.Hk
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(Quantum communication)
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34.80.Pa
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(Coherence and correlation)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12175029, 11775040, and 12011530014). |
Corresponding Authors:
Chang-Shui Yu
E-mail: ycs@dlut.edu.cn
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Cite this article:
Si-Ren Yang(杨思忍) and Chang-Shui Yu(于长水) Quantum dynamical resource theory under resource non-increasing framework 2023 Chin. Phys. B 32 040305
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