A simple sufficient condition for the coexistence of quantum effects

Journal of Physics A: Mathematical and Theoretical

Volumn 46, Issue 15, 2013, Pages

  Heinosaari, Teiko ^a  

^a UNIVERSITY OF TURKU   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84876379359     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/46/15/152002     Document Type: Article

References (23)

1. Ludwig G 1983 Foundations of Quantum Mechanics vol 1 (New York: Springer)
2. Kraus K 1983 States, Effects, and Operations (Berlin: Springer)
3. Lahti P and Pulmannová S 2001 Coexistence versus functional coexistence of quantum observables Rep. Math. Phys. 47 199-212 (Pubitemid 33623855)
4. Lahti P 2003 Coexistence and joint measurability in quantum mechanics Int. J. Theor. Phys. 42 893-906
5. Gudder S 2009 Coexistence of quantum effects Rep. Math. Phys. 63 289-303
6. Heinosaari T, Reitzner D and Stano P 2008 Notes on joint measurability of quantum observables Found. Phys. 38 1133-47
7. Molnár L 2001 Characterizations of the automorphisms of Hilbert space effect algebras Commun. Math. Phys. 223 437-50
8. Busch P 1986 Unsharp reality and joint measurements for spin observables Phys. Rev. D 33 2253-61
9. Busch P and Heinosaari T 2008 Approximate joint measurements of qubit observables Quantum Inform. Comput. 8 797-818
10. Liu N-L, Li L, Yu S and Chen Z-B 2009 Duality relation and joint measurement in a Mach-Zehnder interferometer Phys. Rev. A 79 052108
11. Stano P, Reitzner D and Heinosaari T 2008 Coexistence of qubit effects Phys. Rev. A 78 012315
12. Yu S, Liu N-L, Li L and Oh C H 2010 Joint measurement of two unsharp observables of a qubit Phys. Rev. A 81 062116
13. Busch P and Schmidt H-J 2010 Coexistence of qubit effects Quantum Inform. Process. 9 143-69
14. Moreland T and Gudder S 1999 Infima of Hilbert space effects Linear Algebra Appl. 286 1-17 (Pubitemid 129533389)
15. Gheondea A, Gudder S and Jonas P 2005 On the infimum of quantum effects J. Math. Phys. 46 062102 (Pubitemid 40960437)
16. Lahti P J and Ma̧czynski M 1995 Partial order of quantum effects J. Math. Phys. 36 1673-80
17. Gudder S and Greechie R 1996 Effect algebra counterexamples Math. Slovaca 46 317-25
18. Yuan L and Du H-K 2006 A note on the infimum problem of Hilbert space effects J. Math. Phys. 47 102103 (Pubitemid 44673057)
19. Carmeli C, Heinosaari T and Toigo A 2012 Informationally complete joint measurements on finite quantum systems Phys. Rev. A 85 012109
20. Topping D M 1965 Vector lattices of self-adjoint operators Trans. Am. Math. Soc. 115 14-30
21. Gudder S 1996 Lattice properties of quantum effects J. Math. Phys. 37 2637
22. Li Y, Sun X-H and Chen Z-L 2007 Generalized infimum and sequential product of quantum effects J. Math. Phys. 48 102101
23. Pedersen G K 1979 C*-Algebras and their Automorphism Groups (London Mathematical Society Monographs vol 14) (London: Academic)