Observables suitable for restricting the fidelity to multipartite maximally entangled states

Details Observables suitable for restricting the fidelity to multipartite maximally entangled states Observables suitable for restricting the fidelity to multipartite maximally entangled states

2005-10-31

arxiv.org/abs/quant-ph/0510237v1

Phys. Rev. A 65, 042314 (2002)

Physics

Quantum Physics

6 pages

Scientific paper

We present a class of observables which are suitable for determining the fidelity of a state to the multipartite Greenberger-Horne-Zeilinger (GHZ) state. Given an expectation value of an observable belonging to the class, we give a simple formula that gives a lower bound and an upper bound for the fidelity. Applying the formula to the GHZ-state preparation experiment by Pan {\it et al}. {[Nature (London) {\bf 403}, 515 (2000)]}, we show that the observed state lies outside of the class of biseparable mixed three-qubit states. We also show that for this class of operators, adopting the principle of minimum variance {[Phys. Rev. A {\bf 60}, 4338 (1999)]} in the state estimation always results in the state with the minimum fidelity.

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