Zero-error subspaces of quantum channels

Samuel Leon Braunstein; D. W. Kribs; Manas Kumar Patra

Zero-error subspaces of quantum channels

Samuel Leon Braunstein, D. W. Kribs, Manas Kumar Patra

Computer Science

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

Abstract

This work deals with zero-error subspaces of quantum channels and their intimate connection with quantum and classical codes. We give operator algebraic characterizations of such subspaces and give some upper and lower bounds on their maximum dimension. Classical and quantum codes and (quantum) noiseless subsystems may be considered as special cases of zero-error subspaces. We explore several consequences of this fact.

Original language	English
Pages (from-to)	104
Number of pages	108
Journal	IEEE International Syrnposiurn on Inforrnation Theory - Proceedings
Volume	2011
Publication status	Published - 2011

Cite this

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title = "Zero-error subspaces of quantum channels",

abstract = "This work deals with zero-error subspaces of quantum channels and their intimate connection with quantum and classical codes. We give operator algebraic characterizations of such subspaces and give some upper and lower bounds on their maximum dimension. Classical and quantum codes and (quantum) noiseless subsystems may be considered as special cases of zero-error subspaces. We explore several consequences of this fact.",

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year = "2011",

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journal = "IEEE International Syrnposiurn on Inforrnation Theory - Proceedings",

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AU - Braunstein, Samuel Leon

AU - Kribs, D. W.

AU - Patra, Manas Kumar

PY - 2011

Y1 - 2011

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AB - This work deals with zero-error subspaces of quantum channels and their intimate connection with quantum and classical codes. We give operator algebraic characterizations of such subspaces and give some upper and lower bounds on their maximum dimension. Classical and quantum codes and (quantum) noiseless subsystems may be considered as special cases of zero-error subspaces. We explore several consequences of this fact.

M3 - Article

SN - 2157-8095

VL - 2011

SP - 104

JO - IEEE International Syrnposiurn on Inforrnation Theory - Proceedings

JF - IEEE International Syrnposiurn on Inforrnation Theory - Proceedings

ER -