Fidelity estimation between two finite ensembles of unknown pure equatorial qubit states

Suppose, we are given two finite ensembles of pure qubit states, so that the qubits in each ensemble are prepared in identical (but unknown for us) states lying on the equator of the Bloch sphere. What is the best strategy to estimate fidelity between these two finite ensembles of qubit states? We d...

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Bibliographic Details
Main Author: Siomau, Michael (Author)
Format: Article (Journal)
Language:English
Published: 27 July 2011
In: Physics letters
Year: 2011, Volume: 375, Issue: 38, Pages: 3340-3342
ISSN:1873-2429
DOI:10.1016/j.physleta.2011.07.037
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.physleta.2011.07.037
Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0375960111009091
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Author Notes:Michael Siomau

MARC

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520 |a Suppose, we are given two finite ensembles of pure qubit states, so that the qubits in each ensemble are prepared in identical (but unknown for us) states lying on the equator of the Bloch sphere. What is the best strategy to estimate fidelity between these two finite ensembles of qubit states? We discuss three possible strategies for the fidelity estimation. We show that the best strategy includes two stages: a specific unitary transformation on two ensembles and state estimation of the output states of this transformation. 
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