The role of coherence entropy of physical twin observables in entanglement

Abstract

The concept of physical twin observables (PTO) for bipartite quantum states,introduced and proved relevant for quantum information theory in recent work, is substantially simplified. The relation of observable and state is studied in detail from the point of view of coherence entropy. Properties of this quantity are further explored. It is shown that, besides for pure states, quantum discord (measure of entanglement) can be expressed through the coherence entropy of a PTO complete in relation to the state.

19 pages, Latex+Revtex4

References in corpus (2)

• Chains of Quasi-Classical Informations for Bipartite Correlations and the Role of Twin Observables
• Hermitian Schmidt Decomposition and Twin Observables of Bipartite Mixed States

Cited by in corpus (4)

• A quantum measure of coherence and incompatibility
• On Mutual Information in Multipartite Quantum States and Equality in Strong Subadditivity of Entropy
• Entanglement and Symmetry: A Case Study in Superselection Rules, Reference Frames, and Beyond
• Complete "Born's rule" from "environment-assisted invariance" in terms of pure-state twin unitaries