Lower bounds for communication capacities of two-qudit unitary operations

Dominic W. Berry*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)
4 Downloads (Pure)

Abstract

It is known that entangling capacities of bipartite unitary operations may be used to place upper bounds on communication capacities. Here we present alternative definitions of entangling capacities for unitary operations and use them to place lower bounds on the communication capacities of arbitrary bipartite unitaries. Thus entangling capacities may be used to place both upper and lower bounds on the communication capacities for arbitrary bipartite unitaries, allowing them to be more easily estimated. We elucidate the connection between these results and the standard formula for the entanglement assisted capacity of channels. In addition, we present more general methods for producing ensembles for communication from initial states for entanglement creation, and thereby derive sufficient conditions such that the usual forms of entangling capacity provide lower bounds on communication capacities.

Original languageEnglish
Article number062302
Pages (from-to)1-9
Number of pages9
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume76
Issue number6
DOIs
Publication statusPublished - 6 Dec 2007

Bibliographical note

Copyright 2007 by The American Physical Society. Reprinted from Physical review A. Atomic, molecular, and optical physics.

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