A new coherence measure based on fidelity

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.

10 pages

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• Superadditivity of convex roof coherence measures
• Universal Method to Estimate Quantum Coherence
• The Average Quantum Coherence of Pure State Decomposition
• No-go theorems for deterministic purification and probabilistic enhancement of coherence
• Trade-off relations of geometric coherence
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• A fixed-point algorithm for matrix projections with applications in quantum information
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• Coherence measures in the strictly incoherent operation framework and its application in the multi-path interferometer