Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 599, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.physa.2022.127510
Keywords
Quantum channels; Coherence; Superchannels; Resource theory
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Funding
- Research Funds for the Central Universities, China [GK202003070]
- National Natural Science Foundation of China [12071271]
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This paper investigates the coherence weight of quantum channels and its application in the quantum resource theory of dynamical coherence. By introducing an entanglement-assisted super-subchannel exclusion task, the advantage of coherent channels in such a task is demonstrated.
Quantifying coherence has received significant attention in recent years. Many research is focus on the resource theory of static coherence. In this paper, we introduce the coherence weight of quantum channel to study the quantum resource theory of dynamical coherence. The free channel is classical channel and the free super-channel are the maximally incoherent super-channels (MISC) and incoherent super-channels (ISC). We first study some basic properties (such as convexity and monotonicity) of coherence weight of quantum channel. By introducing entanglement-assisted super-subchannel exclusion task, we show that the advantage of coherent channels in such task. Finally, we compute the coherence weight of quantum channel for some channels. (C) 2022 Elsevier B.V. All rights reserved.
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