Complete positivity and self-adjointness

Érik Amorim; Eric A. Carlen

doi:10.1016/j.laa.2020.10.038

Complete positivity and self-adjointness

Érik Amorim, Eric A. Carlen

School of Arts and Sciences, Mathematics

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

1 Scopus citations

Abstract

We specify the structure of completely positive operators and quantum Markov semigroup generators that are symmetric with respect to a family of inner products, also providing new information on the order structure and extreme points in some previously studied cases.

Original language	English (US)
Pages (from-to)	389-439
Number of pages	51
Journal	Linear Algebra and Its Applications
Volume	611
DOIs	https://doi.org/10.1016/j.laa.2020.10.038
State	Published - Feb 15 2021

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

Keywords

Complete positivity
Detailed balance
Quantum Markov semigroup

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10.1016/j.laa.2020.10.038

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title = "Complete positivity and self-adjointness",

abstract = "We specify the structure of completely positive operators and quantum Markov semigroup generators that are symmetric with respect to a family of inner products, also providing new information on the order structure and extreme points in some previously studied cases.",

keywords = "Complete positivity, Detailed balance, Quantum Markov semigroup",

author = "{\'E}rik Amorim and Carlen, {Eric A.}",

note = "Funding Information: The work of both authors was partially supported by NSF grants DMS 1501007 and DMS 1764254 . Publisher Copyright: {\textcopyright} 2020 Elsevier Inc.",

year = "2021",

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day = "15",

doi = "10.1016/j.laa.2020.10.038",

language = "English (US)",

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T1 - Complete positivity and self-adjointness

AU - Amorim, Érik

AU - Carlen, Eric A.

PY - 2021/2/15

Y1 - 2021/2/15

N2 - We specify the structure of completely positive operators and quantum Markov semigroup generators that are symmetric with respect to a family of inner products, also providing new information on the order structure and extreme points in some previously studied cases.

AB - We specify the structure of completely positive operators and quantum Markov semigroup generators that are symmetric with respect to a family of inner products, also providing new information on the order structure and extreme points in some previously studied cases.

KW - Complete positivity

KW - Detailed balance

KW - Quantum Markov semigroup

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M3 - Article

AN - SCOPUS:85097188899

SN - 0024-3795

VL - 611

SP - 389

EP - 439

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

Complete positivity and self-adjointness

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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