2018/04/30 by Chunhe Xiong, Asutosh Kumar, Junde Wu · 1 citation
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1103/physreva.98.032324
published as Phys. Rev. A 98, 032324 (2018) · 11 pages, close to published version
arxiv created 2018/09/21 · arxiv updated 2018/09/24
Coherence measures and their operational interpretations lay the cornerstone of coherence theory. In this paper, we introduce a class of coherence measures with α-affinity, say α-affinity of coherence for α∈ (0, 1). Furthermore, we obtain the analytic formulae for these coherence measures and study their corresponding convex roof extension. We provide an operational interpretation for 1/2-affinity of coherence by showing that it is equal to the error probability to discrimination a set of pure states with the least square measurement. Employing this relationship we regain the optimal measurement for equiprobable quantum state discrimination. Moreover, we compare these coherence quantifiers, and establish a complementarity relation between 1/2-affinity of coherence and path distinguishability for some special cases.