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Entanglement, information and multiparticle quantum operations

Chefles, Anthony and Gilson, Claire R. and Barnett, Stephen M. (2001) Entanglement, information and multiparticle quantum operations. Physics Letters A, 63 (3). 032314-1-032314-15. ISSN 0375-9601

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    Abstract

    Collective operations on a network of spatially-separated quantum systems can be carried out using local quantum (LQ) operations, classical communication (CC) and shared entanglement (SE). Such operations can also be used to communicate classical information and establish entanglement between distant parties. We show how these facts lead to measures of the inseparability of quantum operations, and argue that a maximally-inseparable operation on 2 qubits is the SWAP operation. The generalisation of our argument to N qubit operations leads to the conclusion that permutation operations are maximally-inseparable. For even N, we find the minimum SE and CC resources which are sufficient to perform an arbitrary collective operation. These minimum resources are 2(N − 1) ebits and 4(N − 1) bits, and these limits can be attained using a simple teleportation-based protocol. We also obtain lower bounds on the minimum resources for the odd case. For all N4, we show that the SE/CC resources required to perform an arbitrary operation are strictly greater than those that any operation can establish/communicate.

    Item type: Article
    ID code: 5849
    Keywords: entanglement, quantum physics, multiparticle quantum operations, teleportation, Physics, Physics and Astronomy(all)
    Subjects: Science > Physics
    Department: Unknown Department
    Faculty of Science > Physics
    Related URLs:
    Depositing user: Miss Darcy Spiller
    Date Deposited: 21 Apr 2008
    Last modified: 05 Sep 2014 13:19
    URI: http://strathprints.strath.ac.uk/id/eprint/5849

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