Operator Structures and Quantum One-Way LOCC Conditions

SMC Author

Michael Nathanson

SMC Affiliated Work

1

Status

Faculty

School

School of Science

Department

Math/Computer Science

Document Type

Article

Publication Date

2017

Publication / Conference / Sponsorship

Journal of Mathematical Physics

Description/Abstract

We conduct the first detailed analysis in quantum information of recently derived operator relations from the study of quantum one-way local operations and classical communications (LOCC). We show how operator structures such as operator systems, operator algebras, and Hilbert C*-modules all naturally arise in this setting, and we make use of these structures to derive new results and new derivations of some established results in the study of LOCC. We also show that perfect distinguishability under one-way LOCC and under arbitrary operations is equivalent for several families of operators that appear jointly in matrix and operator theory and quantum information theory.

Scholarly

yes

DOI

10.1063/1.5000845

Volume

58

Issue

9

Disciplines

Computer Sciences | Mathematics

Rights

Open Access. Author manuscript (arXiv)

Original Citation

Kribs, D. W., Mintah, C., Nathanson, M., and Pereira, R. “Operator structures and quantum one-way LOCC conditions.” Journal of Mathematical Physics, 58(9). 2017. https://doi.org/10.1063/1.5000845

Link to Full Text

Share

COinS