Rotational invariance as an additional constraint on local realism

Physical Review Letters

Volumn 93, Issue 23, 2004, Pages

  Nagata, Koji ^a   Laskowski, Wiesław ^b   Wieśniak, Marcin ^b   Zukowski, Marek ^b,c  

^a NATIONAL INSTITUTE OF INFORMATION AND COMMUNICATIONS TECHNOLOGY   (Japan)

^b UNIVERSITY OF GDA SK   (Poland)

^c UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

INTEGRAL EQUATIONS; INTERFEROMETRY; MATHEMATICAL MODELS; PARAMETER ESTIMATION; QUANTUM THEORY; TENSORS; VECTORS;

CARTESIAN COORDINATES; LOCAL REALISTIC MODELS; ROTATIONAL INVARIANCE; SPIN CORRELATION;

CONSTRAINT THEORY;

EID: 42749105202     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.93.230403     Document Type: Article

References (15)

1. A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. 47, 777 (1935).
2. J. S. Bell, Physics 1, 195 (1964).
3. M. Redhead, Incompleteness, Nonlocality, and Realism (Clarendon Press, Oxford, 1989), 2nd ed.
4. A. Peres, Quantum Theory: Concepts and Methods (Kluwer Academic, Dordrecht, The Netherlands, 1993).
5. A. Ekert, Phys. Rev. Lett. 67, 661 (1991); V. Scarani and N. Gisin, Phys. Rev. Lett. 87, 117901 (2001).
6. A. Ekert, Phys. Rev. Lett. 67, 661 (1991); V. Scarani and N. Gisin, Phys. Rev. Lett. 87, 117901 (2001).
7. Č. Brukner, M. Żukowski, J-W. Pan, and A. Zeilinger, Phys. Rev. Lett. 92, 127901 (2004).
8. As is well known, the rotational invariance of physical laws leads to angular momentum conservation.
9. We choose this specific class of rotationally invariant formulas (2) because our final aim is to compare the possible local realistic models with the predictions of quantum mechanics. An analysis of more complicated forms of possible correlation functions would not contribute anything to this final aim, except for some unnecessary mathematical complication.
10. D. M. Greenberger, M. A. Home, and A. Zeilinger, in Bell's Theorem, Quantum Theory and Conceptions of the Universe, edited by M. Kafatos (Kluwer Academic, Dordrecht, The Netherlands, 1989), pp. 69-72.
11. M. Żukowski and Č. Brukner, Phys. Rev. Lett. 88, 210401 (2002).
12. N. D. Mermin, Phys. Rev. Lett. 65, 1838 (1990); A.V. Belinskii and D. N. Klyshko, Phys. Usp. 36, 653 (1993).
13. N. D. Mermin, Phys. Rev. Lett. 65, 1838 (1990); A.V. Belinskii and D. N. Klyshko, Phys. Usp. 36, 653 (1993).
14. R. F. Werner and M. M. Wolf, Phys. Rev. A 64, 032112 (2001).
15. C. S. Unnikrishnan, quant-ph/0407041.