Decoherence of two-qubit systems: A random matrix description

New Journal of Physics

Volumn 9, Issue , 2007, Pages

  Pineda, C ^a,b,c   Gorin, T ^c,d   Seligman, T H ^a,c  

^a INSTITUTO DE CIENCIAS FÍSICAS   (Mexico)

^b UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^c CENTRO INTERNACIONAL DE CIENCIAS   (Mexico)

^d UNIVERSITY OF GUADALAJARA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; MATRIX ALGEBRA; QUANTUM THEORY; SPIN DYNAMICS;

DECOHERENCE; EXPONENTIATION; WERNER STATES;

GROUND STATE;

EID: 34247562263     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/9/4/106     Document Type: Article

References (47)

1. Sackett C A et al 2000 Experimental entanglement of four particles Nature 404 256
2. Zhao Z, Chen Y-A, Zhang A-N, Yang T, Briegel H J and Pan J-W 2004 Experimental demonstration of five-photon entanglement and open-destination teleportation Nature 430 54
3. Häffner H et al 2005 Robust entanglement Appl. Phys. B 81 151
4. Häffner H et al 2005 Scalable multiparticle entanglement of trapped ions Nature 438 643
5. Cucchietti F M, Pastawski H M and Wisniacki D A 2002 Decoherence as decay of the Loschmidt echo in a Lorentz gas Phys. Rev. E 65 045206
6. Karkuszewski Z P, Jarzynski C and Zurek W H 2002 Quantum chaotic environments, the butterfly effect, and decoherence Phys. Rev. Lett. 89 170405
7. Cucchietti F M, Dalvit D A R, Paz J P and Zurek W H 2003 Decoherence and the Loschmidt echo Phys. Rev. Lett. 91210403
8. Gorin T, Prosen T, Seligman T H and Strunz W T 2004 Connection between decoherence and fidelity decay in echo dynamics Phys. Rev. A 70 042105
9. Jalabert R A and Pastawski H M 2001 Environment-independent decoherence rate in classically chaotic systems Phys. Rev. Lett. 86 2490-3
10. Jacquod P, Silvestrov P G and Beenakker C W J 2001 Golden rule decay versus Lyapunov decay of the quantum Loschmidt echo Phys. Rev. E 64 055203
11. Prosen T and Žnidarč M 2002 Stability of quantum motion and correlation decay J. Phys. A: Math. Gen. 35 1455
12. Cucchietti FM, Lewenkopf C H, Mucciolo E R, Pastawski H M and Vallejos R O 2002 Measuring the Lyapunov exponent using quantum mechanics Phys. Rev. E 65 046209
13. Cerruti N R and Tomsovic S 2003 A uniform approximation for the fidelity in chaotic systems J. Phys. A: Math. Gen. 36 3451-65
14. Vanicek J 2004 Dephasing representation: employing the shadowing theorem to calculate quantum correlation functions Phys. Rev. E 70 055201
15. Cucchietti F M, Pastawski H M and Jalabert R A 2004 Universality of the Lyapunov regime for the Loschmidt echo Phys. Rev. B 70 035311
16. Vanicek J 2006 Dephasing representation of quantum fidelity for general pure and mixed states Phys. Rev. E 73 046204
17. Boite J and Schwaibold T 2006 Stability of wave-packet dynamics under perturbations Phys. Rev. E 73 026223
18. Prosen T, Seligman T H and Žnidarič M 2003 Estimation of purity in terms of correlation functions Phys. Rev. A 67 062108
19. Jacquod Ph 2004 Semiclassical time evolution of the reduced density matrix and dynamically assisted generation of entanglement for bipartite quantum systems Phys. Rev. B 92 150403
20. Gorin T, Prosen T and Seligman T H 2004 A random matrix formulation of fidelity decay New J. Phys. 6 20
21. Gorin T, Prosen T, Seligman T H and Žnidarič M 2006 Dynamics of Loschmidt echoes and fidelity decay Phys. Rep. 435 33
22. Schäfer R, Stöckmann H-J, Gorin T and Seligman T H 2005 Experimental verification of fidelity decay: From perturbative to Fermi golden rule regime Phys. Rev. Lett. 95 184102
23. Schäfer R, Gorin T, Seligman T H and Stöckmann H-J 2005 Fidelity amplitude of the scattering matrix in microwave cavities New J. Phys. 7 152
24. Gorin T, Seligman T H and Weaver R L 2006 Scattering fidelity in elastodynamics Phys. Rev. E 73 015202(R)
25. Gorin T and Seligman T H 2002 A random matrix approach to decoherence J. Opt. B: Quantum Semiclass. Opt. 4 S386
26. Pineda C and Seligman T H 2007 Bell pair in a generic random matrix environment Phys. Rev. A 75 012106
27. Lages J, Dobrovitski V V, Katsnelson M I, De Raedt H A and Harmon B N 2005 Decoherence by a chaotic many-spin bath Phys. Rev. E 72 026225
28. Pineda C and Seligman T H 2006 Evolution of pairwise entanglement in a coupled n-body system Phys. Rev. A 73 012305
29. Pineda C 2006 private communication
30. Zurek W H 2003 Decoherence, einselection, and the quantum origins of the classical Rev. Mod. Phys. 75 715
31. Prosen T and Žnidarič M 2001 Can quantum chaos enhance the stability of quantum computation? J. Phys. A: Math.Gen.34 L681-7
32. Frahm K M, Fleckinger R and Shepelyansky D L 2004 Quantum chaos and random matrix theory for fidelity decay in quantum computations with static imperfections Eur. Phys. J. D 29 139-55
33. Celardo G L, Pineda C and Žnidarič M 2005 Stability of quantum Fourier transformation on Ising quantum computer Int. J. Quantum Inform. 3 441
34. Prosen T and Seligman T H 2002 Decoherence of spin echoes J. Phys. A: Math. Gen. 35 4707
35. Stöckmann H-J and Schäfer R 2005 Fidelity recovery in chaotic systems and the Debye-Waller factor Phys. Rev.Lett.94 244101
36. Gorin T, Kohler H, Prosen T, Seligman T H, Stöckmann H-J and Žnidarič M 2006 Anomalous slow fidelity decay for symmetry-breaking perturbations Phys. Rev. Lett. 96 244105
37. Cartan É1935 Quasi composition algebras Abh. Math. Sem. Hamburg 11116
38. Mehta M L 1991 Random Matrices 2nd edn (San Diego: Academic)
39. Wei T-C, Nemoto K, Goldbart P M, Kwiat P G, Munro W J and Verstraete F 2003 Maximal entanglement versus entropy for mixed quantum states Phys. Rev. A 67 022110
40. Mintert F, Carvalho A R R, Kuś M and Buchleitner A 2005 Measures and dynamics of entangled states Phys. Rep. 415 207
41. Hill S and Wootters W K 1997 Entanglement of a pair of quantum bits Phys. Rev. Lett. 78 5022
42. Wootters W K 1998 Entanglement of formation of an arbitrary state of two qubits Phys. Rev. Lett. 80 2245
43. Dittes F-M, Rotter I and Seligman T H 1991 Chaotic behaviour of scattering induced by strong external coupling Phys. Lett. A 158 14-8
44. Yu T and Eberly J H 2004 Finite-time disentanglement via spontaneous emission Phys. Rev. Lett. 93 140404
45. Ziman M and Buzek V 2005 Concurrence versus purity: influence of local channels on Bell states of two qubits Phys. Rev. A 72 052325
46. Keyl M 2002 Fundamentals of quantum information theory Phys. Rev. 369 431-548
47. Gorin T, Pineda C and Seligman T H 2007 Preprint quant-ph/0703190