Universität zu Köln

Eltschka, Christopher, Huber, Felix ORCID: 0000-0002-3856-4018, Guehne, Otfried and Siewert, Jens ORCID: 0000-0002-9410-5043 (2018). Exponentially many entanglement and correlation constraints for multipartite quantum states. Phys. Rev. A, 98 (5). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1094-1622

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Abstract

We present a family of correlation constraints that apply to all multipartite quantum systems of finite dimension. The size of this family is exponential in the number of subsystems. We obtain these relations by defining and investigating the generalized state inversion map. This map provides a systematic way to obtain local unitary invariants of degree two in the state and is directly linked to the shadow inequalities proved by Rains [IEEE Trans. Theory 46, 54 (2000)]. The constraints are stated in terms of linear inequalities for the linear entropies of the subsystems. For pure quantum states they turn into monogamy relations that constrain the distribution of bipartite entanglement among the subsystems of the global state.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Eltschka, Christopher UNSPECIFIED UNSPECIFIED UNSPECIFIED Huber, Felix UNSPECIFIED orcid.org/0000-0002-3856-4018 UNSPECIFIED Guehne, Otfried UNSPECIFIED UNSPECIFIED UNSPECIFIED Siewert, Jens UNSPECIFIED orcid.org/0000-0002-9410-5043 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-165764
DOI:	10.1103/PhysRevA.98.052317
Journal or Publication Title:	Phys. Rev. A
Volume:	98
Number:	5
Date:	2018
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1094-1622
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language MONOGAMY; CRITERION Multiple languages Optics; Physics, Atomic, Molecular & Chemical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/16576