dorsal/arxiv
View SchemaObservables suitable for restricting the fidelity to multipartite maximally entangled states
| Authors | Koji Nagata, Masato Koashi, Nobuyuki Imoto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510237 |
| URL | https://arxiv.org/abs/quant-ph/0510237 |
| DOI | 10.1103/PhysRevA.65.042314 |
| Journal | Phys. Rev. A 65, 042314 (2002) |
Abstract
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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"abstract": "We present a class of observables which are suitable for determining the\nfidelity of a state to the multipartite Greenberger-Horne-Zeilinger (GHZ)\nstate. Given an expectation value of an observable belonging to the class, we\ngive a simple formula that gives a lower bound and an upper bound for the\nfidelity. Applying the formula to the GHZ-state preparation experiment by Pan\n{\\it et al}. {[Nature (London) {\\bf 403}, 515 (2000)]}, we show that the\nobserved state lies outside of the class of biseparable mixed three-qubit\nstates. We also show that for this class of operators, adopting the principle\nof minimum variance {[Phys. Rev. A {\\bf 60}, 4338 (1999)]} in the state\nestimation always results in the state with the minimum fidelity.",
"arxiv_id": "quant-ph/0510237",
"authors": [
"Koji Nagata",
"Masato Koashi",
"Nobuyuki Imoto"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.65.042314",
"journal_ref": "Phys. Rev. A 65, 042314 (2002)",
"title": "Observables suitable for restricting the fidelity to multipartite maximally entangled states",
"url": "https://arxiv.org/abs/quant-ph/0510237"
},
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