How entangled can a multi-party system possibly be?

Liqun Qi; Guofeng Zhang; Guyan Ni

doi:10.1016/j.physleta.2018.04.007

How entangled can a multi-party system possibly be?

Liqun Qi, Guofeng Zhang, Guyan Ni

Research output: Journal article publication › Journal article › Academic research › peer-review

20 Citations (Scopus)

Abstract

The geometric measure of entanglement of a pure quantum state is defined to be its distance to the space of pure product (separable) states. Given an n-partite system composed of subsystems of dimensions d₁,…,d_n, an upper bound for maximally allowable entanglement is derived in terms of geometric measure of entanglement. This upper bound is characterized exclusively by the dimensions d₁,…,d_n of composite subsystems. Numerous examples demonstrate that the upper bound appears to be reasonably tight.

Original language	English
Pages (from-to)	1465-1471
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	382
Issue number	22
DOIs	https://doi.org/10.1016/j.physleta.2018.04.007
Publication status	Published - 5 Jun 2018

Keywords

Entanglement
Geometric measure of entanglement
Tensor

ASJC Scopus subject areas

General Physics and Astronomy

More information

10.1016/j.physleta.2018.04.007

http://hdl.handle.net/10397/79873

Cite this

@article{68bf0c0dab914d7d84f2d35bd3336aec,

title = "How entangled can a multi-party system possibly be?",

abstract = "The geometric measure of entanglement of a pure quantum state is defined to be its distance to the space of pure product (separable) states. Given an n-partite system composed of subsystems of dimensions d1,…,dn, an upper bound for maximally allowable entanglement is derived in terms of geometric measure of entanglement. This upper bound is characterized exclusively by the dimensions d1,…,dn of composite subsystems. Numerous examples demonstrate that the upper bound appears to be reasonably tight.",

keywords = "Entanglement, Geometric measure of entanglement, Tensor",

author = "Liqun Qi and Guofeng Zhang and Guyan Ni",

year = "2018",

month = jun,

day = "5",

doi = "10.1016/j.physleta.2018.04.007",

language = "English",

volume = "382",

pages = "1465--1471",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",