Trace-distance measure of coherence

Article Type

Research Article

Publication Title

Physical Review A

Abstract

We show that trace distance measure of coherence is a strong monotone for all qubit and, so called, X states. An expression for the trace distance coherence for all pure states and a semidefinite program for arbitrary states is provided. We also explore the relation between l1-norm and relative entropy based measures of coherence, and give a sharp inequality connecting the two. In addition, it is shown that both lp-norm- and Schatten-p-norm-based measures violate the (strong) monotonicity for all p∈(1,∞).

DOI

10.1103/PhysRevA.93.012110

Publication Date

1-12-2016

Comments

Open Access; Green Open Access

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