A family of indecomposable positive linear maps based on entangled quantum states

Barbara M. Terhal

doi:10.1016/S0024-3795(00)00251-2

A family of indecomposable positive linear maps based on entangled quantum states

Barbara M. Terhal^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Scientific › peer-review

144 Citations (SciVal)

Abstract

We introduce a new family of indecomposable positive linear maps based on entangled quantum states. Central to our construction is the notion of an unextendible product basis. The construction lets us create indecomposable positive linear maps in matrix algebras of arbitrary high dimension.

Original language	English
Pages (from-to)	61-73
Number of pages	13
Journal	Linear Algebra and Its Applications
Volume	323
Issue number	1-3
DOIs	https://doi.org/10.1016/S0024-3795(00)00251-2
Publication status	Published - 2001
Externally published	Yes

Keywords

Positive linear maps
Quantum entanglement
Quantum information theory

Access to Document

10.1016/S0024-3795(00)00251-2

Cite this

@article{3f16bb3dc10141c49a35dc7f181f1a27,

title = "A family of indecomposable positive linear maps based on entangled quantum states",

abstract = "We introduce a new family of indecomposable positive linear maps based on entangled quantum states. Central to our construction is the notion of an unextendible product basis. The construction lets us create indecomposable positive linear maps in matrix algebras of arbitrary high dimension.",

keywords = "Positive linear maps, Quantum entanglement, Quantum information theory",

author = "Terhal, {Barbara M.}",

year = "2001",

doi = "10.1016/S0024-3795(00)00251-2",

language = "English",

volume = "323",

pages = "61--73",

journal = "Linear Algebra and Its Applications",

issn = "0024-3795",

publisher = "Elsevier",

number = "1-3",

}

TY - JOUR

T1 - A family of indecomposable positive linear maps based on entangled quantum states

AU - Terhal, Barbara M.

PY - 2001

Y1 - 2001

N2 - We introduce a new family of indecomposable positive linear maps based on entangled quantum states. Central to our construction is the notion of an unextendible product basis. The construction lets us create indecomposable positive linear maps in matrix algebras of arbitrary high dimension.

AB - We introduce a new family of indecomposable positive linear maps based on entangled quantum states. Central to our construction is the notion of an unextendible product basis. The construction lets us create indecomposable positive linear maps in matrix algebras of arbitrary high dimension.

KW - Positive linear maps

KW - Quantum entanglement

KW - Quantum information theory

UR - http://www.scopus.com/inward/record.url?scp=0035584893&partnerID=8YFLogxK

U2 - 10.1016/S0024-3795(00)00251-2

DO - 10.1016/S0024-3795(00)00251-2

M3 - Article

AN - SCOPUS:0035584893

SN - 0024-3795

VL - 323

SP - 61

EP - 73

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 1-3

ER -

A family of indecomposable positive linear maps based on entangled quantum states

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this