Quantifying dynamical coherence with coherence measures
- URL: http://arxiv.org/abs/2104.00003v3
- Date: Sat, 3 Jul 2021 02:40:51 GMT
- Title: Quantifying dynamical coherence with coherence measures
- Authors: Sunho Kim, Chunhe Xiong, Asutosh Kumar, Guijun Zhang, and Junde Wu
- Abstract summary: Quantum coherence, like entanglement, is a fundamental resource in quantum information.
It is difficult to define incoherent operations directly, without requiring incoherent states.
We introduce an alternate definition of incoherent operations, induced via coherence measures, and quantify dynamical coherence.
- Score: 2.446672595462589
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum coherence, like entanglement, is a fundamental resource in quantum
information. In recent years, remarkable progress has been made in formulating
resource theory of coherence from a broader perspective. The notions of
block-coherence and POVM-based coherence have been established. Certain
challenges, however, remain to be addressed. It is difficult to define
incoherent operations directly, without requiring incoherent states, which
proves a major obstacle in establishing the resource theory of dynamical
coherence. In this paper, we overcome this limitation by introducing an
alternate definition of incoherent operations, induced via coherence measures,
and quantify dynamical coherence based on this definition. Finally, we apply
our proposed definition to quantify POVM-based dynamical coherence.
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