2016/10/31 by Ming-Liang Hu, Ming‐Liang Hu, Heng Fan
Computer Science · Physics and Astronomy · #Coherence (philosophical gambling strategy) #Degree of coherence #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum discord #Quantum entanglement #Quantum mechanics #Quantum relative entropy #Quantum state #Spectroscopy and Quantum Chemical Studies #Statistical physics #quant-ph
paper · pdf · doi:10.1103/physreva.95.052106
published as Phys. Rev. A 95, 052106 (2017) · 6 pages, 1 figure
openalex created_date 2016/10/28 · openalex publication_date 2017/05/10 · arxiv created 2017/05/29 · arxiv updated 2017/05/30 · openalex updated_date 2026/08/05
Quantum coherence, incompatibility, and quantum correlations are fundamental features of quantum physics. A unified view of those features is crucial for revealing quantitatively their intrinsic connections. We define the relative quantum coherence of two states as the coherence of one state in the reference basis spanned by the eigenvectors of another one and establish its quantitative connections with the extent of mutual incompatibility of two states. We also show that the proposed relative quantum coherence, which can take any form of measures such as l1 norm and relative entropy, can be interpreted as or connected to various quantum correlations such as quantum discord, symmetric discord, entanglement of formation, and quantum deficits. Our results reveal conceptual implications and basic connections of quantum coherence, mutual incompatibility, and quantum correlations.