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)
    3 Downloads (Pure)


    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
    Issue number6
    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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