Erratum: "Measures and dynamics of entangled states" (Physics Reports (2005) vol. 415 (207-259) 10.1016/j.physrep.2005.04.006);Measures and dynamics of entangled states

Physics Reports

Volumn 415, Issue 4, 2005, Pages 207-259

  Mintert, Florian ^a,b,c   Carvalho, André R R ^a   Kuś, Marek ^b   Buchleitner, Andreas ^a  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^b CENTER FOR THEORETICAL PHYSICS   (Poland)

^c FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22944490845     PISSN: 03701573     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physrep.2005.08.001     Document Type: Erratum

References (90)

1. R.P. Feynman Simulating physics with computers Int. J. Theoret. Phys. 21 1982 467
2. D. Deutsch Quantum theory, the church-turing principle and the universal quantum computer Proc. R. Soc. Lond. A 425 1985 73
3. C.H. Bennett G. Brassard C. Crépeau R. Jozsa A. Peres W.K. Wootters Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels Phys. Rev. Lett. 70 1993 1895
4. C.H. Bennet, G. Brassard, Quantum cryptography: Public key distribution and coin tossing, Proceedings of IEEE International Conference on Computers, Systems and Signal Processing, 1984, p. 175.
5. C. Monroe D.M. Meekhof B.E. King W.M. Itano D.J. Wineland Demonstration of a fundamental quantum logic gate Phys. Rev. Lett. 75 1995 4714
6. Q.A. Turchette C.S. Wood B.E. King C.J. Myatt D. Leibfried W.M. Itano C. Monroe D.J. Wineland Deterministic entanglement of two trapped ions Phys. Rev. Lett. 81 1998 3631
7. J.-W. Pan D. Bouwmeester M.D.H. Weinfurter A. Zeilinger Experimental test of quantum nonlocality in three-photon Greenberger-Horne-Zeilinger-entanglement Nature 403 2000 515
8. O. Mandel M. Greiner A. Widera T. Rom T.W. Hänsch I. Bloch Controlled collisions for multi-particle entanglement of optically trapped atoms Nature 425 2003 937
9. C.A. Sackett D. Kielpinski B.E. King C. Langer V. Meyer C.J. Myatt M. Rowe Q.A. Turchette W.M. Itano D.J. Wineland C. Monroe Experimental entanglement of four particles Nature 404 2000 256
10. J.-W. Pan M. Daniell S. Gasparoni G. Weihs A. Zeilinger Experimental demonstration of four-photon entanglement and high-fidelity teleportation Phys. Rev. Lett. 86 2001 4435
11. M. Eibl N. Kiesel M. Bourennane C. Kurtsiefer H. Weinfurter Experimental realization of a three-qubit entangled W state Phys. Rev. Lett. 92 2004 077901
12. C.F. Roos M. Riebe H. Häffner W. Hänsel J.B. Elm G.P.T. Lancaster C. Becher F. Schmidt-Kaler R. Blatt Control and measurement of three-qubit entangled states Science 304 2004 1478
13. A. Rauschenbeutel G. Nogues S. Osnaghi P. Bertet M. Brune J.-M. Raimond S. Haroche Step-by-step engineered multiparticle entanglement Science 288 2000 2024
14. Z. Zhao Y.-A. Chen A.-N. Zhang T. Yang H.J. Briegel J.-W. Pan Experimental demonstration of five-photon entanglement and open-destination teleportation Nature 430 2004 54
15. Y.A. Pashkin T. Yamamoto O. Astafiev Y. Nakamura D.V. Averin J.S. Tsai Quantum oscillations in two coupled charge qubits Nature 421 2003 823
16. A.J. Berkley H. Xu R.C. Ramos M.A. Gubrud F.W. Strauch P.R. Johnson J.R. Anderson A.J. Dragt C.J. Lobb F.C. Wellstood Entangled macroscopic quantum states in two superconducting qubits Science 300 2003 1548
17. C.F. Roos G.P.T. Lancaster M. Riebe H. Häffner W. Hänsel S. Gulde C. Becher J. Eschner F. Schmidt-Kaler R. Blatt Bell states of atoms with ultralong lifetimes and their tomographic state analysis Phys. Rev. Lett. 92 2004 220402
18. J.S. Bell On the Einstein-Podolski-Rosen paradox Physics 1 1964 195
19. J.F. Clauser M.A. Horne A. Shimony R.A. Holt Proposed experiment to test local hidden-variable theories Phys. Rev. Lett. 23 1969 880
20. C. Papaliolios Experimental test of a hidden-variable quantum theory Phys. Rev. Lett. 18 1967 622
21. A. Einstein B. Podolsky N. Rosen Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 47 1935 777
22. D.M. Greenberger M.A. Horne A. Shimony A. Zeilinger Bell's theorem without inequalities Am. J. Phys. 58 1990 1131
23. C.H. Bennett H.J. Bernstein S. Popescu B. Schumacher Concentrating partial entanglement by local operations Phys. Rev. A 53 1996 2046
24. C.H. Bennett D.P. DiVincenzo J.A. Smolin W.K. Wootters Mixed-state entanglement and quantum error correction Phys. Rev. A 54 1996 3824
25. G. Vidal Entanglement monotones J. Mod. Opt. 47 2000 355
26. G. Vidal R.F. Werner Computable measure of entanglement Phys. Rev. A 65 2002 032314
27. W.K. Wootters Entanglement of formation of an arbitrary state of two qubits Phys. Rev. Lett. 80 1998 2245
28. T. Wellens M. Kuś Separable approximation for mixed states of composite quantum systems Phys. Rev. A 64 2001 052302
29. B.-G. Englert N. Metwally Remarks on 2-q-bit states Appl. Phys. B 72 2001 35
30. F. Mintert M. Kuś A. Buchleitner Concurrence of mixed bipartite quantum states in arbitrary dimensions Phys. Rev. Lett. 92 2004 167902
31. F. Mintert, A. Buchleitner, Concurrence of quasi pure quantum states, quant-ph/0411130.
32. A.R.R. Carvalho F. Mintert A. Buchleitner Decoherence and multipartite entanglement Phys. Rev. Lett. 93 2004 230501
33. F. Schwabl Quantenmechanik 1998 Springer Berlin
34. R.F. Werner Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model Phys. Rev. A 40 1989 4277
35. P.A. Horn C.R. Johnson Matrix Analysis 1985 Cambridge University Press New York
36. K. Kraus States Effects and Operations 1983 Springer Berlin
37. M. Horodecki P. Horodecki R. Horodecki Separability of mixed states: necessary and sufficient conditions Phys. Lett. A 223 1996 1
38. A. Peres Separability criterion for density matrices Phys. Rev. Lett. 77 1996 1413
39. M. Horodecki P. Horodecki R. Horodecki Mixed-state entanglement and distillation: Is there a 'bound' entanglement in nature? Phys. Rev. Lett. 80 1998 5239
40. P. Horodecki M. Horodecki R. Horodecki Bound entanglement can be activated Phys. Rev. Lett. 82 1999 1056
41. C.H. Bennet D.P. DiVincenzo J. Smolin W.K. Wootters Mixed-state entanglement and quantum error correction Phys. Rev. A 54 1996 3824
42. K. Kraus General state changes in quantum theory Ann. Phys. 64 1971 311
43. M.A. Nielsen I.L. Chuang Quantum computation and quantum information 2000 Cambridge University Press Cambridge
44. K.E. Hellwig K. Kraus Pure operations and measurements Commun. Math. Phys. 11 1969 214
45. K.E. Hellwig K. Kraus Operations and measurements ii Commun. Math. Phys. 16 1970 142
46. C.H. Bennett D.P. DiVincenzo C.A. Fuchs T. Mor E. Rains P.W. Shor J.A. Smolin W.K. Wootters Quantum nonlocality without entanglement Phys. Rev. A 59 1999 1070
47. M.A. Nielsen Conditions for a class of entanglement transformations Phys. Rev. Lett. 83 1999 436
48. T. Ando Majorization, doubly stochastic matrices, and comparison of eigenvalues Linear Algebra Appl. 118 1989 163
49. A. Uhlmann Fidelity and concurrence of conjugated states Phys. Rev. A 62 2000 032307
50. L.P. Hughston R. Jozsa W.K. Wootters A complete classification of quantum ensembles having a given density matrix Phys. Lett. A 183 1993 14
51. E. Schrödinger Probability relations between separated systems Proc. Cambridge Philos. Soc. 32 1936 446
52. A. Uhlmann Optimizing entropy relative to a channel or a subalgebra Open System Inform. Dyn. 5 1998 209
53. V. Vedral M. Plenio Entanglement measures and purification procedures Phys. Rev. A 57 1998 1619
54. D. Bruß Characterizing entanglement J. Math. Phys. 43 2002 4237
55. M. Horodecki Entanglement measures Quant. Inform. Comp. 1 2001 3
56. M. Horodecki P. Horodecki J. Oppenheim Reversible transformations from pure to mixed states and the unique measure of information Phys. Rev. A 67 2003 062104
57. S. Hill W.K. Wootters Entanglement of a pair of quantum bits Phys. Rev. Lett. 78 1997 5022
58. E.W. Weisstein Concise Encyclopedia of Mathematics 1999 CRC press London
59. B.M. Terhal K.G.H. Vollbrecht Entanglement of formation for isotropic states Phys. Rev. Lett 85 2000 2625
60. G. Vidal W. Dür J.I. Cirac Entanglement cost of bipartite mixed states Phys. Rev. Lett. 89 2002 027901
61. F. Benatti H. Narnhofer Additivity of the entanglement of formation Phys. Rev. A 63 2001 042306
62. A.A. Pomeransky Strong superadditivity of the entanglement of formation follows from its additivity Phys. Rev. A 68 2003 032317
63. K. Zyczkowski Volume of the set of separable states. ii Phys. Rev. A 60 1999 3496
64. K. Audenaert F. Verstraete B.D. Moor Variational characterizations of separability and entanglement of formation Phys. Rev. A 64 2001 052304
65. A. Łozinski A. Buchleitner K. Zyczkowski T. Wellens Entanglement of 2 × k quantum systems Euro. Phys. Lett. 62 2003 168
66. W.K. Wootters Entanglement of formation and concurrence Quant. Inform. Comp. 1 2001 27
67. P. Rungta V. Buzek C.M. Caves M. Hillery G.J. Milburn Universal state inversion and concurrence in arbitrary dimensions Phys. Rev. A 64 2001 042315
68. F. Mintert, Measures and dynamics of quantum entanglement, Ph.D. Thesis, Ludwig-Maximilians-Universität München (2004). URL http://edoc.ub.uni-muenchen.de/archive/00002133
69. G.H. Golub, C.F. VanLoan, Matrix Computations, Johns Hopkins Univ. Pr., 1996.
70. W. Dür G. Vidal J.I. Cirac Three qubits can be entangled in two inequivalent ways Phys. Rev. A 62 2000 062314
71. V. Coffman J. Kundu W.K. Wootters Distributed entanglement Phys. Rev. A 61 2000 052306
72. G. Rigolin Quantum teleportation of an arbitrary two qubit state and its relation to multipartite entanglement Phys. Rev. A 71 2005 032321
73. E. Beckenbach R.E. Bellmann Inequalities 1971 Springer Berlin
74. K. Eckert J. Mompart X.X. Yi J. Schliemann D. Bruß G. Birkl M. Lewenstein Quantum computing in optical microtraps based on the motional states of neutral atoms Phys. Rev. A 66 2002 042317
75. P. Horodecki Separability criterion and inseparable mixed states with positive partial transposition Phys. Lett. A 232 1997 333
76. W.H. Press S.A. Teulosky W.T. Vetterling B.P. Flannery Numerical Recipies 1999 Cambridge University Press Cambridge
77. G. Krüger Programmieren in C 1996 Addison-Wesley Bonn
78. G. Lindblad On the generators of quantum dynamical semigroups Math. Phys. 48 1976 119
79. V. Gorini A. Kossakowski E.C.G. Sudarshan Completely positive dynamical semigroups of n-level systems J. Math. Phys. 17 1976 821
80. R. Alicki K. Lendi Quantum Dynamical Semigroups and Applications 1987 Lecture Notes in Physics 286, Springer Berlin
81. A.V. Khaetskii D. Loss L. Glazman Electron spin decoherence in quantum dots due to interaction with nuclei Phys. Rev. Lett. 88 2002 186802
82. S.M. Barnett P. Radmore Methods in Theoretical Quantum Optics 1997 Clarendon Press Oxford
83. K. Mølmer A. Sørensen Multiparticle entanglement of hot trapped ions Phys. Rev. Lett. 82 1999 1835
84. A.R.R. Carvalho et al., in preparation.
85. T. Yu J.H. Eberly Finite-time disentanglement via spontaneous emission Phys. Rev. Lett. 93 2004 140404
86. W. Dür H.-J. Briegel Stability of macroscopic entanglement under decoherence Phys. Rev. Lett. 92 2004 180403
87. W. Dür J.I. Cirac R. Tarrach Separability and distillability of multiparticle quantum systems Phys. Rev. Lett. 83 1999 3562
88. W. Dür J.I. Cirac Classification of multiqubit mixed states: separability and distillability properties Phys. Rev. A 61 2000 042314
89. Q.A. Turchette D. Kielpinski B.E. King D. Leibfried D.M. Meekhof C.J. Myatt M.A. Rowe C.A. Sackett W.M. Itano C. Monroe D.J. Wineland Heating of trapped ions from the quantum ground state Phys. Rev. A 61 2000 063418
90. Q.A. Turchette C.J. Myatt B.E. King C.A. Sackett D. Kielpinski W.M. Itano C. Monroe D.J. Wineland Decoherence and decay of motional quantum states of a trapped atom coupled to engineered reservoirs Phys. Rev. A 62 2000 053807