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A new coherence measure based on fidelity

arXiv
Authors: C. L. Liu, Da-Jian Zhang, Xiao-Dong Yu, Qi-Ming Ding, Longjiang Liu

Year

2017

Paper ID

45010

Status

Preprint

Abstract Read

~2 min

Abstract Words

94

Citations

N/A

Abstract

Quantifying coherence is an essential endeavor for both quantum foundations and quantum technologies. In this paper, we put forward a quantitative measure of coherence by following the axiomatic definition of coherence measures introduced in [T. Baumgratz, M. Cramer, and M. B. Plenio, Phys. Rev. Lett. 113, 140401 (2014)]. Our measure is based on fidelity and analytically computable for arbitrary states of a qubit. As one of its applications, we show that our measure can be used to examine whether a pure qubit state can be transformed into another pure or mixed qubit state only by incoherent operations.

Why This Paper Matters

  • This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
  • It adds a 2017 reference point for readers tracking recent quantum research.
  • Quantifying coherence is an essential endeavor for both quantum foundations and quantum technologies.

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