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Discordlike correlation of bipartite coherence

2016/11/30 by Yu Guo, Sumit Goswami · 39 citations
Computer Science · Mathematics · Physics and Astronomy · #Bipartite graph #Coherence (philosophical gambling strategy) #Computer science #Discrete mathematics #Kullback–Leibler divergence #Mathematics #Measure (data warehouse) #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum correlation #Quantum discord #Quantum entanglement #Quantum mechanics #Statistical physics #Statistics #quant-ph

paper · pdf · doi:10.1103/physreva.95.062340

published in Physical Review A 95(6) (American Physical Society) · 6 pages. Some minors are corrected

openalex publication_date 2017/06/29 · arxiv created 2017/06/30 · arxiv updated 2017/08/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Quantum discord has been studied extensively as a measure of nonclassical correlations which includes entanglement as a subset. Although it is well known that nonzero discord can exist without entanglement, the origin of quantum discord is not well understood as compared to entanglement, which manifests itself more simply as inseparable higher-dimensional quantum superposition. In this paper we establish the discordlike correlation of bipartite coherence and then compare it to quantum discord. Consequently, we show that the minimum of the discordlike correlation of coherence coincides with the original quantum discord. This demonstrates quantum discord as the irreducible correlated bipartite coherence. In addition, the discordlike correlated coherence is shown to admit the postulates of the quantum resource theory (QRT), although the original quantum discord is not a ``good'' candidate under the QRT. We also find that the relative entropy measure induced from the discordlike coherence is a well-defined coherence measure for bipartite states.

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