Operational axioms for C*-algebra representation of transformations

AIP Conference Proceedings

Volumn 962, Issue , 2007, Pages 44-55

  D'Ariano, Giacomo Mauro ^a  

^a QUIT Group   (Italy)

Author keywords

Axiomatics; Foundations; Measurement theory

Indexed keywords

EID: 71749085835     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.2827336     Document Type: Conference Paper

References (11)

1. G. M. D'Ariano, in Foundations of Probability and Physics-4, ed. by G. Adenier, C. A. Fuchs, and A. Y. Khrennikov (AIP, Melville, New York, 2007) pag. 79 [also quant-ph/0611094].
2. G. M. D'Ariano, Where the mathematical structure of Quantum Mechanics comes from Work presented at the conference Beyond the Quantum held at the Lorentz Center in Leiden (2006) (quant-ph/0612162)
3. *-algebraic formulation for Quantum Mechanics in Proceedings of the 8th Int. Conf. on Quantum Communication, Measurement and Computing, ed. by O. Hirota, J. H. Shapiro and M. Sasaki (NICT press, Japan, 2007), p. 345 (also quant-ph/0701219)
4. I. M. Gelfand, and M. A. Neumark, Mat Sb. 12, 197 (1943).
5. G. Ludwig, An Axiomatic Basis for Quantum Mechanics I: Derivation of Hilbert Space Structure, Springer, SPR: adr, 1985.
6. G. M. D'Ariano, J. Phys. A. Math. Theor. 40 8137 (2007)
7. G. M. D'Ariano and T. Short, unpublished.
8. S. Popescu and D. Rohrlich, Found. Phys. 24 379 (1994)
9. T. Short, S. Popescu, and N. Gisin, Phys. Rev. A 73 012101 (2006)
10. *-Algebras and Operator Theory, Academic Press, (London, San Diego, 1990)
11. G. M. D'Ariano, in Philosophy of Quantum Information and Entanglement, Alisa Bokulich and Gregg Jaeger (Eds.) (Cambridge University Press, Cambridge UK) forthcoming