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| related topics |
| {state, states, entangled} |
| {state, phys, rev} |
| {measurement, state, measurements} |
| {photon, photons, single} |
| {bell, inequality, local} |
| {operator, operators, space} |
| {information, entropy, channel} |
| {let, theorem, proof} |
| {state, states, coherent} |
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Observables suitable for restricting the fidelity to multipartite
maximally entangled states
Koji Nagata, Masato Koashi, Nobuyuki Imoto
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0510237
- categories:
- quant-ph
- comments:
- 6 pages
- arxiv_id:
- quant-ph/0510237
- journal_ref:
- Phys. Rev. A 65, 042314 (2002)
- created:
- 2005-10-31
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