Maximum fidelity retransmission of mirror symmetric qubit states

Hunter, Kieran and Andersson, Erika and Gilson, Claire R. and Barnett, Stephen M.; Shapiro, J. and Hirota, O., eds. (2003) Maximum fidelity retransmission of mirror symmetric qubit states. In: Proceedings of the sixth International Conference on Quantum Communication, Measurement and Computing. Rinton Press, Princeton, New Jersey, USA. ISBN 1589490304 (https://arxiv.org/abs/quant-ph?papernum=0209138)

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Abstract

In this paper we address the problem of optimal reconstruction of a quantum state from the result of a single measurement when the original quantum state is known to be a member of some specified set. A suitable figure of merit for this process is the fidelity, which is the probability that the state we construct on the basis of the measurement result is found by a subsequent test to match the original state. We consider the maximisation of the fidelity for a set of three mirror symmetric qubit states. In contrast to previous examples, we find that the strategy which minimises the probability of erroneously identifying the state does not generally maximise the fidelity.

  • Item type:Book Section
    ID code:6161
    Dates:
    Date
    Event
    April 2003
    Published
    Subjects:Science > Physics > Optics. Light
    Department:Faculty of Science > Physics
    Depositing user: Miss Darcy Spiller
    Date deposited:02 Jun 2008
    Last modified:11 Nov 2024 14:33
    URI:https://strathprints.strath.ac.uk/id/eprint/6161
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