Purity and state fidelity of quantum channels

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 70, Issue 1, 2004, Pages

  Zanardi, Paolo ^a,b   Lidar, Daniel A ^c  

^a ISI FOUNDATION   (Italy)

^b Massachusetts Institute of Technology Cambridge   (United States)

^c UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ERROR ANALYSIS; ERROR CORRECTION; HAMILTONIANS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PERTURBATION TECHNIQUES; PROBABILITY DISTRIBUTIONS; SET THEORY; THEOREM PROVING; VECTORS;

DECOHERENCE-FREE SUBSPACES (DFS); QUANTUM CHANNELS; QUANTUM ERRORS CORRECTING CODES (QECC); QUANTUM SYSTEMS;

QUANTUM THEORY;

EID: 19244365672     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.70.012315     Document Type: Article

References (21)

1. H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2002).
2. M.A. Nielsen and I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
3. P.W. Brumer and M. Shapiro, Principles of the Quantum Control of Molecular Processes (Wiley, New York, 2003).
4. A. Peres, Quantum Theory: Concepts and Methods (Kluwer, Dordrecht, 1998).
5. K. Kraus, States, Effects and Operations, Fundamental Notions of Quantum Theory (Academic, Berlin, 1983).
6. P.W. Shor, Phys. Rev. A 52, R2493 (1995); A.M. Steane, Phys. Rev. Lett. 77, 793 (1997).
7. P.W. Shor, Phys. Rev. A 52, R2493 (1995); A.M. Steane, Phys. Rev. Lett. 77, 793 (1997).
8. E. Knill and R. Laflamme, Phys. Rev. A 55, 900 (1997).
9. D. Gottesman, Phys. Rev. A 54, 1862 (1996).
10. For a review see A.M. Steane, in Introduction to Quantum Computation and Information, edited by H.K. Lo, S. Popescu, and T.P. Spiller (World Scientific, Singapore, 1999), pp. 184-212.
11. P. Zanardi and M. Rasetti, Phys. Rev. Lett. 79, 3306 (1997); Mod. Phys. Lett. B 11, 1085 (1997).
12. P. Zanardi and M. Rasetti, Phys. Rev. Lett. 79, 3306 (1997); Mod. Phys. Lett. B 11, 1085 (1997).
13. D.A. Lidar, I.L. Chuang, and K.B. Whaley, Phys. Rev. Lett. 81, 2594 (1998); For a review see D.A. Lidar and K.B. Whaley, in Irreversible Quantum Dynamics, Vol. 622 of Springer Lecture Notes in Physics, edited by F. Benatti and R. Floreanini (Springer, Berlin, 2003), p. 83; e-print quant-ph/0301032.
14. D.A. Lidar, I.L. Chuang, and K.B. Whaley, Phys. Rev. Lett. 81, 2594 (1998); For a review see D.A. Lidar and K.B. Whaley, in Irreversible Quantum Dynamics, Vol. 622 of Springer Lecture Notes in Physics, edited by F. Benatti and R. Floreanini (Springer, Berlin, 2003), p. 83; e-print quant-ph/0301032.
15. P.W. Shor, Commun. Math. Phys. 246, 453 (2004).
16. P. Zanardi, C. Zalka, and L. Faoro, Phys. Rev. A 62, 030301(R) (2000).
17. D.A. Lidar, D. Bacon, and K.B. Whaley, Phys. Rev. Lett. 82, 4556 (1999).
18. i,j=Tr AB.
19. J.F. Cornwell, Group Theory in Physics, Vol. I and II of Techniques of Physics: 7 (Academic, London, 1984).
20. C. Macchiavello and G.M. Palma, Phys. Rev. A 65, 050301 (2002).
21. M. Nielsen, Phys. Lett. A 303, 249 (2002).