Universität zu Köln

Zhu, Huangjun, Hayashi, Masahito and Chen, Lin (2016). Universal Steering Criteria. Phys. Rev. Lett., 116 (7). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1079-7114

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Abstract

We propose a general framework for constructing universal steering criteria that are applicable to arbitrary bipartite states and measurement settings of the steering party. The same framework is also useful for studying the joint measurement problem. Based on the data-processing inequality for an extended Renyi relative entropy, we then introduce a family of steering inequalities, which detect steering much more efficiently than those inequalities known before. As illustrations, we show unbounded violation of a steering inequality for assemblages constructed from mutually unbiased bases and establish an interesting connection between maximally steerable assemblages and complete sets of mutually unbiased bases. We also provide a single steering inequality that can detect all bipartite pure states of full Schmidt rank. In the course of study, we generalize a number of results intimately connected to data-processing inequalities, which are of independent interest.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Zhu, Huangjun UNSPECIFIED UNSPECIFIED UNSPECIFIED Hayashi, Masahito UNSPECIFIED UNSPECIFIED UNSPECIFIED Chen, Lin UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-284362
DOI:	10.1103/PhysRevLett.116.070403
Journal or Publication Title:	Phys. Rev. Lett.
Volume:	116
Number:	7
Date:	2016
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1079-7114
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language COMPLETE QUANTUM MEASUREMENTS; PODOLSKY-ROSEN PARADOX; STATES; AMPLIFICATION Multiple languages Physics, Multidisciplinary Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/28436