Various topics concerning the entanglement of composite quantum systems are considered with particular emphasis concerning the strict relations of such a problem with the one of attributing objective properties to the constituents. Most of the paper deals with composite systems in pure states. After a detailed discussion and a precise formal analysis of the case of systems of distinguishable particles, the problems of entanglement and the one of the properties of subsystems of systems of identical particles are thoroughly discussed. This part is the most interesting and new and it focuses in all details various subtle questions which have never been adequately discussed in the literature. Some inappropriate assertions which appeared in recent papers are analyzed. The relations of the main subject of the paper with the nonlocal aspects of quantum mechanics, as well as with the possibility of deriving Bell's inequality are also considered.
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E. Schrödinger, Naturwissenschaften 23:807 (1935); English translation in Proc. Am. Philos. Soc. 124:323 (1980).
D. Dürr, S. Goldstein, and N.Zanghí, J. Stat. Phys. 63:843 (1992).
A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. 47:777 (1935).
P. Eberhard, Nuovo Cimento B 46:392 (1978).
G. C. Ghirardi and T. Weber, Lettere Nuovo Cimento 26:599 (1979).
G. C. Ghirardi, A. Rimini, and T. Weber, Lettere Nuovo Cimento 27:293 (1980).
G. C. Ghirardi, R. Grassi, A. Rimini, and T. Weber, Europhys. Lett. 6:95 (1988).
P. Suppes and M. Zanotti, in Logic and Probability in Quantum Mechanics, P. Suppes, ed. (Reidel, Dordrecht, 1976), p. 445.
B. van Fraassen, Synthese 52:25 (1982).
J. Jarrett, Noûs 18:569 (1984).
A. Shimony, in Proceedings of the International Symposium on the Foundations of Quantum Mechanics, S. Kamefuchi et al., eds. (Physical Society of Japan, Tokyo, 1984), p. 225.
G. C. Ghirardi, A. Rimini, and T. Weber, Nuovo Cimento B 39:130 (1977).
G. C. Ghirardi, in Bell's Theorem and the Foundations of Modern Physics (World Scientific, Singapore, 1992).
G. C. Ghirardi, in Waves, Information and Foundations of Physics, R. Pratesi et al., eds. (Editrice Compositori-Società Italiana di Fisica, 1998).
G. C. Ghirardi, in Spin Statistics Connection and Commutation Relations, R. C. Hilborn et al., eds. (American Institute of Physics, 2000).
P. Teller, Philosophy of Science 50:309 (1983).
M. Readhead and P. Teller, British J. Philos. Sci. 43:201 (1992).
M. L. Dalla Chiara and G. Toraldo di Francia, in Bridging the gap: Philosophy, Mathematics, Physics, Corsi et al., eds. (Dordrecht, Kluwer Academic Publishers, 1993), p. 261.
N. Huggett, The Monist 80:118 (1997).
D. M. Greenberger, M. A. Horne, and A. Zeilinger, in Quantum Interferometry: Proceedings of an Adriatico Workshop, F. de Martini et al., eds. (Trieste, 1996).
A. Messiah, Quantum Mechanics (North-Holland, Amsterdam, 1962), Vol. 2, p. 600.
G. Krenn and A. Zeilinger, Phys. Rev. A 54:1793 (1996).
D. M. Greenberger, M. A. Horne, and A. Zeilinger, in Bell's Theorem, Quantum Theory and Conceptions of the Universe, M. Kafatos, ed. (Kluwer Academic Publishers, 1989).
G. C. Ghirardi, in Dynamical Systems and Microphysics, A. Blaquiere et al., eds. (Springer-Verlag, 1980).
M. Horne, A. Shimony and A. Zeilinger, in Quantum Coherence, J. S. Anandan, ed. (World Scientific, Singapore, 1991).
R. F. Werner, Phys. Rev. A 40:4277 (1989).
M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A 223:1 (1996).
A. Peres, Phys. Rev. Lett. 77:1413 (1996).
S. Teufel, K. Berndl, D. Dürr, S. Goldstein, and N. Zanghí, Phys. Rev. A 56:1217 (1997).
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Ghirardi, G., Marinatto, L. & Weber, T. Entanglement and Properties of Composite Quantum Systems: A Conceptual and Mathematical Analysis. Journal of Statistical Physics 108, 49–122 (2002). https://doi.org/10.1023/A:1015439502289
- identical particles