On Kadison-Schwarz Approximation to Positive Maps

Dariusz Chruściński; Farrukh Mukhamedov; Mohamed Ali Hajji

doi:10.1142/S123016122050016X

On Kadison-Schwarz Approximation to Positive Maps

Dariusz Chruściński, Farrukh Mukhamedov, Mohamed Ali Hajji

Department of Mathematical Sciences

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

5 Citations (Scopus)

Abstract

We analyze Kadison-Schwarz approximation to positive maps in matrix algebras. This is an analogue of the well known structural physical approximation to positive maps used in entanglement theory. We study several known maps both decomposable (like transposition) and non-decomposable (like Choi map and its generalizations).

Original language	English
Article number	2050016
Journal	Open Systems and Information Dynamics
Volume	27
Issue number	3
DOIs	https://doi.org/10.1142/S123016122050016X
Publication status	Published - Sept 2020

Keywords

Kadison inequality
Positive maps
operator algebras

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Mathematical Physics

Access to Document

10.1142/S123016122050016X

Cite this

@article{ab16de2e51ca479bbbc0a9d1d2c4b779,

title = "On Kadison-Schwarz Approximation to Positive Maps",

abstract = "We analyze Kadison-Schwarz approximation to positive maps in matrix algebras. This is an analogue of the well known structural physical approximation to positive maps used in entanglement theory. We study several known maps both decomposable (like transposition) and non-decomposable (like Choi map and its generalizations).",

keywords = "Kadison inequality, Positive maps, operator algebras",

author = "Dariusz Chru{\'s}ci{\'n}ski and Farrukh Mukhamedov and Hajji, {Mohamed Ali}",

note = "Funding Information: D. C. was supported by the Polish National Science Centre 2018/30/A/ST2/00837. Publisher Copyright: {\textcopyright} 2020 World Scientific Publishing Company.",

year = "2020",

month = sep,

doi = "10.1142/S123016122050016X",

language = "English",

volume = "27",

journal = "Open Systems and Information Dynamics",

issn = "1230-1612",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "3",

}

TY - JOUR

T1 - On Kadison-Schwarz Approximation to Positive Maps

AU - Chruściński, Dariusz

AU - Mukhamedov, Farrukh

AU - Hajji, Mohamed Ali

PY - 2020/9

Y1 - 2020/9

N2 - We analyze Kadison-Schwarz approximation to positive maps in matrix algebras. This is an analogue of the well known structural physical approximation to positive maps used in entanglement theory. We study several known maps both decomposable (like transposition) and non-decomposable (like Choi map and its generalizations).

AB - We analyze Kadison-Schwarz approximation to positive maps in matrix algebras. This is an analogue of the well known structural physical approximation to positive maps used in entanglement theory. We study several known maps both decomposable (like transposition) and non-decomposable (like Choi map and its generalizations).

KW - Kadison inequality

KW - Positive maps

KW - operator algebras

UR - http://www.scopus.com/inward/record.url?scp=85098671515&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85098671515&partnerID=8YFLogxK

U2 - 10.1142/S123016122050016X

DO - 10.1142/S123016122050016X

M3 - Article

AN - SCOPUS:85098671515

SN - 1230-1612

VL - 27

JO - Open Systems and Information Dynamics

JF - Open Systems and Information Dynamics

IS - 3

M1 - 2050016

ER -

On Kadison-Schwarz Approximation to Positive Maps

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this