Universität zu Köln

Zhu, Huangjun, Ma, Zhihao, Cao, Zhu, Fei, Shao-Ming and Vedral, Vlatko ORCID: 0000-0002-8588-2940 (2017). Operational one-to-one mapping between coherence and entanglement measures. Phys. Rev. A, 96 (3). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9934

Full text not available from this repository.

Abstract

We establish a general operational one-to-one mapping between coherence measures and entanglement measures: Any entanglement measure of bipartite pure states is the minimum of a suitable coherence measure over product bases. Any coherence measure of pure states, with extension to mixed states by convex roof, is the maximum entanglement generated by incoherent operations acting on the system and an incoherent ancilla. Remarkably, the generalized CNOT gate is the universal optimal incoherent operation. In this way, all convex-roof coherencemeasures, including the coherence of formation, are endowed with (additional) operational interpretations. By virtue of this connection, many results on entanglement can be translated to the coherence setting, and vice versa. As applications, we provide tight observable lower bounds for generalized entanglement concurrence and coherence concurrence, which enable experimentalists to quantify entanglement and coherence of the maximal dimension in real experiments.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Zhu, Huangjun UNSPECIFIED UNSPECIFIED UNSPECIFIED Ma, Zhihao UNSPECIFIED UNSPECIFIED UNSPECIFIED Cao, Zhu UNSPECIFIED UNSPECIFIED UNSPECIFIED Fei, Shao-Ming UNSPECIFIED UNSPECIFIED UNSPECIFIED Vedral, Vlatko UNSPECIFIED orcid.org/0000-0002-8588-2940 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-217856
DOI:	10.1103/PhysRevA.96.032316
Journal or Publication Title:	Phys. Rev. A
Volume:	96
Number:	3
Date:	2017
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9934
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language QUANTUM COHERENCE; PURE STATES; LIGHT Multiple languages Optics; Physics, Atomic, Molecular & Chemical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/21785