|
| related topics |
| {bell, inequality, local} |
| {alice, bob, state} |
| {observables, space, algebra} |
| {let, theorem, proof} |
| {qubit, qubits, gate} |
| {theory, mechanics, state} |
| {particle, mechanics, theory} |
| {error, code, errors} |
|
Bell's theorem without inequalities and only two distant observers
P. K. Aravind
abstract: A proof of Bell's theorem without inequalities and involving only two
observers is given by suitably extending a proof of the Bell-Kochen-Specker
theorem due to Mermin. This proof is generalized to obtain an inequality-free
proof of Bell's theorem for a set of n Bell states (with n odd) shared between
two distant observers. A generalized CHSH inequality is formulated for n Bell
states shared symmetrically between two observers and it is shown that quantum
mechanics violates this inequality by an amount that grows exponentially with
increasing n.
- oai_identifier:
- oai:arXiv.org:quant-ph/0104133
- categories:
- quant-ph
- comments:
- 8 pages, 1 table. A minor misprint in one of the mathematical
expressions occuring in the text has been corrected, as have a couple of
typos
- arxiv_id:
- quant-ph/0104133
- journal_ref:
- Found. Phys. Lett. 15, 397-405 (2002).
- created:
- 2001-04-28
- updated:
- 2002-07-07
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