Maximum fidelity retransmission of mirror symmetric qubit states

Kieran Hunter; Erika Andersson; Claire R. Gilson; Stephen M. Barnett; J. Shapiro; O. Hirota

Maximum fidelity retransmission of mirror symmetric qubit states

Kieran Hunter, Erika Andersson, Claire R. Gilson, Stephen M. Barnett, J. Shapiro (Editor), O. Hirota (Editor)

Physics

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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.

Original language	English
Title of host publication	Proceedings of the sixth International Conference on Quantum Communication, Measurement and Computing
Place of Publication	Princeton, New Jersey, USA
Number of pages	16
Publication status	Published - Apr 2003

Keywords

qubit states
fidelity
optimal reconstruction
mirror symmetric qubit states
quantum

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strathprints006161Accepted author manuscript, 166 KB

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Maximum fidelity retransmission of mirror symmetric qubit states. / Hunter, Kieran; Andersson, Erika; Gilson, Claire R.; Barnett, Stephen M.; Shapiro, J. (Editor); Hirota, O. (Editor).

Proceedings of the sixth International Conference on Quantum Communication, Measurement and Computing. Princeton, New Jersey, USA, 2003.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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T1 - Maximum fidelity retransmission of mirror symmetric qubit states

AU - Hunter, Kieran

AU - Andersson, Erika

AU - Gilson, Claire R.

AU - Barnett, Stephen M.

A2 - Shapiro, J.

A2 - Hirota, O.

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KW - qubit states

KW - fidelity

KW - optimal reconstruction

KW - mirror symmetric qubit states

KW - quantum

UR - http://arxiv.org/abs/quant-ph?papernum=0209138

M3 - Chapter

SN - 1589490304

BT - Proceedings of the sixth International Conference on Quantum Communication, Measurement and Computing

CY - Princeton, New Jersey, USA

ER -

Maximum fidelity retransmission of mirror symmetric qubit states

Abstract

Keywords

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