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Phys. Rev. Lett. 85, 4418–4421 (2000)

Violations of Local Realism by Two Entangled N-Dimensional Systems Are Stronger than for Two Qubits

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Dagomir Kaszlikowski1, Piotr Gnaciński1, Marek Żukowski1,2, Wieslaw Miklaszewski1, and Anton Zeilinger2
1Instytut Fizyki Teoretycznej i Astrofizyki Uniwersytet Gdański, PL-80-952 Gdańsk, Poland
2Institut für Experimentalphysik, Univesität Wien, Boltzmanngasse 5, A-1090 Wien, Austria

Received 15 May 2000; published in the issue dated 20 November 2000

Tests of local realism versus quantum mechanics based on Bell's inequality employ two entangled qubits. We investigate the general case of two entangled quantum systems defined in N-dimensional Hilbert spaces, or “ quNits.” Via a numerical linear optimization method we show that violations of local realism are stronger for two maximally entangled quNits ( 3N9) than for two qubits and that they increase with N. The two quNit measurements can be experimentally realized using entangled photons and unbiased multiport beam splitters.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.85.4418
DOI:
10.1103/PhysRevLett.85.4418
PACS:
03.65.Bz, 42.50.Dv