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

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

2011-09-22

arxiv.org/abs/1109.4766v1

Phys. Lett. A 375, 3340 (2011)

Physics

Quantum Physics

9 pages, 2 figures, 17 references

Scientific paper

10.1016/j.physleta.2011.07.037

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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