Three-particle entanglement versus three-particle nonlocality

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 66, Issue 2, 2002, Pages

  Cereceda, José L ^a  

^a NONE   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

CHARGED PARTICLES; CORRELATION METHODS; MATHEMATICAL MODELS; NUMERICAL METHODS;

QUANTUM STATE; THREE PARTICLE ENTANGLEMENT; THREE PARTICLE NONLOCALITY;

QUANTUM THEORY;

EID: 0036702022     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

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4. This is a particular case of the Bell-type inequality for n spin-1/2 particles derived in N.D. Mermin, Phys. Rev. Lett. 65, 1838 (1990).
5. D.M. Greenberger, M.A. Horne, and A. Zeilinger, in Bell's Theorem, Quantum Theory, and Conceptions of the Universe, edited by M. Kafatos (Kluwer, Dordrecht, 1989), pp. 69-72.
6. D.M. Greenberger, M.A. Horne, A. Shimony, and A. Zeilinger, Am. J. Phys. 58, 1131 (1990)
7. N.D. Mermin, ibid. 58, 731 (1990).
8. P. Mitchell, S. Popescu, and D. Roberts, e-print quant-ph/0202009.
9. M. Seevinck and J. Uffink, Phys. Rev. A 65, 012107 (2002).
10. J. Uffink, e-print quant-ph/0201070.
11. N. Gisin and H. Bechmann-Pasquinucci, Phys. Lett. A 246, 1 (1998).
12. W. Dür, G. Vidal, and J.I. Cirac, Phys. Rev. A 62, 062314 (2000).
13. A. Cabello, Phys. Rev. A 65, 032108 (2002).
14. In Ref. [7], it has been shown that, in order for SI to be maximally violated by a quantum state |ψ>, it is necessary that <ψ|CC′ + C′C|ψ>=0. For a spin-1/2 particle, this condition is met whenever the measurement directions corresponding to the spin observables C and C′ are perpendicular between themselves, since this is equivalent to the vanishing of the anticommutator {C,C′}. By symmetry, the conditions <ψ|AA′ + A′A|ψ> = <ψ|BB′ + B′B|ψ> = 0 must also be met if the state |ψ> is to maximally violate SI.
15. 3)=0.