Inequalities that test locality in quantum mechanics

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 66, Issue 6, 2002, Pages 621041-621046

  Dieks, Dennis ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; PROBABILITY DISTRIBUTIONS;

QUANTUM STATES;

QUANTUM THEORY;

EID: 0036991966     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

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3. S. Popescu and D. Rohrlich, Found. Phys. 24, 379 (1994); e-print quant-ph/9508009; e-print quant-ph/9605004; e-print quant-ph/9709026.
4. G. Ludwig, Einführung in die Grundlagen der Theoretischen Physik (Vieweg, Braunschweig, 1976), Vol. 3.
5. E. B. Davies, Quantum Theory of Open Systems (Academic Press, New York, 1976).
6. J. Uffink, Int. J. Theor. Phys. 33, 199 (1994).
7. P. Busch and J. Singh, Phys. Lett. A 249, 10 (1998).
8. J. Uffink, Phys. Rev. Lett. 88, 230406 (2002).
9. D. Beckman, D. Gottesman, M. A. Nielsen, and J. Preskill, Phys. Rev. A 64, 052309 (2001).
10. A. Cabello, Phys. Rev. Lett. 88, 060403 (2002); e-print quant-ph/0205183.
11. This conclusion assumes that the experiments in question pertain to systems prepared in a quantum state ρ, so that the expectation value of A is given by ≪A≫=Tr{ρA}. If one considers ensembles that cannot be represented by a quantum state, for example if one calculates averages in post-selected ensembles, there is in general no reason to expect that Cirel'son's inequality will apply. Cabello has recently given explicit examples [10] of situations in which Cirel'son's inequality is violated because post-selected ensembles are used for the calculation of average values.