Catalytic coherence

Physical Review Letters

Volumn 113, Issue 15, 2014, Pages

  Åberg, Johan ^a  

^a UNIVERSITY OF FREIBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

QUANTUM ELECTRONICS; QUANTUM OPTICS;

CONSERVATION OF ENERGY; DEGREE OF COHERENCE; ENERGY EIGENSTATES; LASER LIGHTS; QUANTUM RESOURCES; QUANTUM SYSTEM; QUANTUM THERMODYNAMICS; STANDARD MODEL;

THERMODYNAMICS;

EID: 84907835151     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.113.150402     Document Type: Article

References (116)

1. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, England, 2008).
2. L.M.K. Vandershypen and I.L. Chuang, Rev. Mod. Phys. 76, 1037 (2004). RMPHAT 0034-6861 10.1103/RevModPhys.76.1037
3. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevLett.113.150402, which includes Refs. [4-51], for more exact accounts of the arguments in the main text, as well as additional generalizations and discussions.
4. R.B. Bapat and V.S. Sunder, Linear Algebra Appl. 72, 107 (1985). LAAPAW 0024-3795 10.1016/0024-3795(85)90147-8
5. A. Chefles, Phys. Rev. A 65, 052314 (2002). PLRAAN 1050-2947 10.1103/PhysRevA.65.052314
6. A. Peres, Am. J. Phys. 48, 552 (1980). AJPIAS 0002-9505 10.1119/1.12061
7. V. Buzek, R. Derka, and S. Massar, Phys. Rev. Lett. 82, 2207 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.82.2207
8. V. Buzek, P.L. Knight, and N. Imoto, Phys. Rev. A 62, 062309 (2000). PLRAAN 1050-2947 10.1103/PhysRevA.62.062309
9. D. Janzing and T. Beth, arXiv:quant-ph/0202059.
10. D. Janzing and T. Beth, IEEE Trans. Inf. Theory 49, 230 (2003). IETTAW 0018-9448 10.1109/TIT.2002.806162
11. D. Janzing and T. Beth, arXiv:quant-ph/0306023.
12. D. Aharonov, A. Kitaev, and N. Nisan, Quantum circuits with mixed states, in Proceedings of 30th ACM Symposium on Theory of Computation, 1998 (ACM, New York, NY, 1998), p. 20.
13. A. Kitaev, Russ. Math. Surv. 52, 1191 (1997). 0036-0279 10.1070/RM1997v052n06ABEH002155
14. R.A. Horn and C.R. Johnson, Topics in Matrix Analysis (Cambridge University Press, Cambridge, England, 1991).
15. M.A. Nielsen and I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2000).
16. F.G.S.L. Brandao and M. Christandl, Phys. Rev. Lett. 109, 160502 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.160502
17. A.C. Doherty, P.A. Parrilo, and F.M. Spedalieri, Phys. Rev. A 69, 022308 (2004). PLRAAN 1050-2947 10.1103/PhysRevA.69.022308
18. E. Størmer, J. Funct. Anal. 3, 48 (1969). JFUAAW 0022-1236 10.1016/0022-1236(69)90050-0
19. R.L. Hudson and G.R. Moody, Z. Wahrsh. Verw. Geb. 33, 343 (1976). 0044-3719 10.1007/BF00534784
20. G.A. Raggio and R.F. Werner, Helv. Phys. Acta 62, 980 (1989). HPACAK 0018-0238 10.5169/seals-116175
21. R.F. Werner, Lett. Math. Phys. 17, 359 (1989). LMPHDY 0377-9017 10.1007/BF00399761
22. C.M. Caves, C.A. Fuchs, and R. Schack, J. Math. Phys. (N.Y.) 43, 4537 (2002). JMAPAQ 0022-2488 10.1063/1.1494475
23. R. König and R. Renner, J. Math. Phys. (N.Y.) 46, 122108 (2005). JMAPAQ 0022-2488 10.1063/1.2146188
24. M. Christandl, R. König, G. Mitchison, and R. Renner, Commun. Math. Phys. 273, 473 (2007). CMPHAY 0010-3616 10.1007/s00220-007-0189-3
25. M. Fannes, J.T. Lewis, and A. Verbeure, Lett. Math. Phys. 15, 255 (1988). LMPHDY 0377-9017 10.1007/BF00398595
26. J.H. Eberly, N.B. Narozhny, and J.J. Sanchez-Mondragon, Phys. Rev. Lett. 44, 1323 (1980). PRLTAO 0031-9007 10.1103/PhysRevLett.44.1323
27. B. Buck and C.V. Sukumar, Phys. Lett. A 81, 132 (1981). PYLAAG 0375-9601 10.1016/0375-9601(81)90042-6
28. S. Singh, Pramana J. Phys. 66, 615 (2006). PRAMCI 0304-4289 10.1007/BF02704505
29. A.N.F. Alexio, A.B. Balantekin, and M.A. Cândido Ribeiro, arXiv:quant-ph/0005046.
30. V. BuŽek, Phys. Rev. A 39, 3196 (1989). PLRAAN 0556-2791 10.1103/PhysRevA.39.3196
31. A. Rybin, G. Miroshnichenko, I. Vadeiko, and J. Timonen, J. Phys. A 32, 8739 (1999). JPHAC5 0305-4470 10.1088/0305-4470/32/49/314
32. R. Alicki, M. Horodecki, P. Horodecki, and R. Horodecki, Open Syst. Inf. Dyn. 11, 205 (2004). OSIDFU 1230-1612 10.1023/B:OPSY.0000047566.72717.71
33. M.J. Henrich, G. Mahler, and M. Michel, Phys. Rev. E 75, 051118 (2007). PLEEE8 1539-3755 10.1103/PhysRevE.75.051118
34. T. Sagawa and M. Ueda, Phys. Rev. Lett. 102, 250602 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.250602
35. J. Anders and V. Giovannetti, New J. Phys. 15, 033022 (2013). NJOPFM 1367-2630 10.1088/1367-2630/15/3/033022
36. W. Pusz and S.L. Woronowicz, Commun. Math. Phys. 58, 273 (1978). CMPHAY 0010-3616 10.1007/BF01614224
37. A. Lenard, J. Stat. Phys. 19, 575 (1978). JSTPBS 0022-4715 10.1007/BF01011769
38. R. Alicki and M. Fannes, Phys. Rev. E 87, 042123 (2013). PLEEE8 1539-3755 10.1103/PhysRevE.87.042123
39. K.V. Hovhannisyan, M. Perarnau-Llobet, M. Huber, and A. Acín, Phys. Rev. Lett. 111, 240401 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.111.240401
40. R. Bhatia, Matrix Analysis (Graduate Texts in Mathematics Vol. 169) (Springer, New York, 1997).
41. R.A. Horn and C.R. Johnson, Matrix Analysis, 2nd ed. (Cambridge University Press, Cambridge, England, 2013).
42. K.M.R. Audenaert, J. Phys. A 40, 8127 (2007). JPAMB5 1751-8113 10.1088/1751-8113/40/28/S18
43. D. Reeb and M.M. Wolf, arXiv:1304.0036.
44. H.-K. Lo and S. Popescu, arXiv:quant-ph/9707038.
45. H.-K. Lo and S. Popescu, Phys. Rev. Lett. 83, 1459 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.83.1459
46. A.W. Harrow, Entanglement spread and clean resource inequalities, in Proceedings of the XVIth International Congress on Mathematical Physics, 2010 (World Scientific, Singapore, 2010), p. 536.
47. M.A. Nielsen, Phys. Rev. Lett. 83, 436 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.83.436
48. J. Eisert and M. Wilkens, Phys. Rev. Lett. 85, 437 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.85.437
49. G. Gour, Phys. Rev. A 72, 022323 (2005). PLRAAN 1050-2947 10.1103/PhysRevA.72.022323
50. D. Li and Z. Shi, Int. J. Theor. Phys. 50, 95 (2011). IJTPBM 0020-7748 10.1007/s10773-010-0497-9
51. D. Li and Z. Shi, Quantum Inf. Process. 10, 697 (2011). QIPUAT 1570-0755 10.1007/s11128-011-0229-y
52. S.D. Bartlett, T. Rudolph, and R.W. Spekkens, Rev. Mod. Phys. 79, 555 (2007). RMPHAT 0034-6861 10.1103/RevModPhys.79.555
53. G. Gour and R.W. Spekkens, New J. Phys. 10, 033023 (2008). NJOPFM 1367-2630 10.1088/1367-2630/10/3/033023
54. I. Marvian and R.W. Spekkens, New J. Phys. 15, 033001 (2013). NJOPFM 1367-2630 10.1088/1367-2630/15/3/033001
55. R.J. Glauber, Phys. Rev. Lett. 10, 84 (1963). PRLTAO 0031-9007 10.1103/PhysRevLett.10.84
56. R.J. Glauber, Phys. Rev. 131, 2766 (1963). PHRVAO 0031-899X 10.1103/PhysRev.131.2766
57. K. Mølmer, Phys. Rev. A 55, 3195 (1997). PLRAAN 1050-2947 10.1103/PhysRevA.55.3195
58. J. Gea-Banacloche, Phys. Rev. A 58, 4244 (1998). PLRAAN 1050-2947 10.1103/PhysRevA.58.4244
59. K. Mølmer, Phys. Rev. A 58, 4247 (1998). PLRAAN 1050-2947 10.1103/PhysRevA.58.4247
60. T. Rudolph and B.C. Sanders, Phys. Rev. Lett. 87, 077903 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.077903
61. S.J. van Enk and C.A. Fuchs, Phys. Rev. Lett. 88, 027902 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.88.027902
62. S.D. Bartlett, T. Rudolph, and R.W. Spekkens, Int. J. Quantum. Inform. 04, 17 (2006). 0219-7499 10.1142/S0219749906001591
63. D. Jonathan and M.B. Plenio, Phys. Rev. Lett. 83, 3566 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.83.3566
64. S.D. Bartlett, T. Rudolph, R.W. Spekkens, and P.S. Turner, New J. Phys. 8, 58 (2006). NJOPFM 1367-2630 10.1088/1367-2630/8/4/058
65. S.D. Bartlett, T. Rudolph, B.C. Sanders, and P.S. Turner, J. Mod. Opt. 54, 2211 (2007). JMOPEW 0950-0340 10.1080/09500340701289254
66. D. Poulin and J. Yard, New J. Phys. 9, 156 (2007). NJOPFM 1367-2630 10.1088/1367-2630/9/5/156
67. E.T. Jaynes and F.W. Cummings, Proc. IEEE 51, 89 (1963). IEEPAD 0018-9219 10.1109/PROC.1963.1664
68. B.W. Shore and P.L. Knight, J. Mod. Opt. 40, 1195 (1993). JMOPEW 0950-0340 10.1080/09500349314551321
69. P. Skrzypczyk, A.J. Short, and S. Popescu, arXiv:1302.2811.
70. E.P. Wigner, Z. Phys. 133, 101 (1952). ZEPYAA 1434-6001 10.1007/BF01948686
71. H. Arkai and M.M. Yanase, Phys. Rev. 120, 622 (1960). PHRVAO 0031-899X 10.1103/PhysRev.120.622
72. M.M. Yanase, Phys. Rev. 123, 666 (1961). PHRVAO 0031-899X 10.1103/PhysRev.123.666
73. G.C. Ghirardi, F. Miglietta, A. Rimini, and T. Weber, Phys. Rev. D 24, 347 (1981). PRVDAQ 0556-2821 10.1103/PhysRevD.24.347
74. G.C. Ghirardi, F. Miglietta, A. Rimini, and T. Weber, Phys. Rev. D 24, 353 (1981). PRVDAQ 0556-2821 10.1103/PhysRevD.24.353
75. M. Ozawa, Phys. Rev. Lett. 88, 050402 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.88.050402
76. P. Busch and L. Loveridge, Phys. Rev. Lett. 106, 110406 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.110406
77. L. Loveridge and P. Busch, Eur. Phys. J. D 62, 297 (2011). EPJDF6 1434-6060 10.1140/epjd/e2011-10714-3
78. I. Marvian and R.W. Spekkens, arXiv:1212.3378.
79. M. Ahmadi, D. Jennings, and T. Rudolph, New J. Phys. 15, 013057 (2013). NJOPFM 1367-2630 10.1088/1367-2630/15/1/013057
80. M. Ozawa, Phys. Rev. Lett. 89, 057902 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.89.057902
81. T. Karasawa and M. Ozawa, Phys. Rev. A 75, 032324 (2007). PLRAAN 1050-2947 10.1103/PhysRevA.75.032324
82. T. Karasawa, J. Gea-Banacloche, and M. Ozawa, J. Phys. A 42, 225303 (2009). JPAMB5 1751-8113 10.1088/1751-8113/42/22/225303
83. M. Navascués and S. Popescu, Phys. Rev. Lett. 112, 140502 (2014). PRLTAO 0031-9007 10.1103/PhysRevLett.112.140502
84. J.P. Barnes and W.S. Warren, Phys. Rev. A 60, 4363 (1999). PLRAAN 1050-2947 10.1103/PhysRevA.60.4363
85. S.J. van Enk and H.J. Kimble, Quantum Inf. Comput. 2, 1 (2001). QICUAW 1533-7146
86. J. Gea-Banacloche, Phys. Rev. A 65, 022308 (2002). PLRAAN 1050-2947 10.1103/PhysRevA.65.022308
87. J. Gea-Banacloche and M. Ozawa, J. Opt. B 7, S326 (2005). JOBOFD 1464-4266 10.1088/1464-4266/7/10/017
88. Y. Aharonov and T. Kaufherr, Phys. Rev. D 30, 368 (1984). PRVDAQ 0556-2821 10.1103/PhysRevD.30.368
89. Y. Aharonov, T. Kaufherr, S. Popescu, and B. Reznik, Phys. Rev. Lett. 80, 2023 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.80.2023
90. A. Casher and B. Reznik, Phys. Rev. A 62, 042104 (2000). PLRAAN 1050-2947 10.1103/PhysRevA.62.042104
91. L. Szilard, Z. Phys. 53, 840 (1929). ZEPYAA 1434-6001 10.1007/BF01341281
92. R. Landauer, IBM J. Res. Dev. 5, 183 (1961). IBMJAE 0018-8646 10.1147/rd.53.0183
93. I. Procaccia and R.D. Levine, J. Chem. Phys. 65, 3357 (1976). JCPSA6 0021-9606 10.1063/1.433482
94. C.H. Bennett, Stud. Hist. Phil. Mod. Phys. 34, 501 (2003). 1355-2198 10.1016/S1355-2198(03)00039-X
95. H.S. Leff and A.F. Rex, Maxwell's Demon: Entropy, Information, Computing (Institute of Physics Publishing, Bristol, 1990).
96. H.S. Leff and A.F. Rex, Maxwell's Demon 2: Entropy, Classical and Quantum Information, Computing (Institute of Physics Publishing, Bristol, 2003).
97. K. Takara, H.-H. Hasegawa, and D.J. Driebe, Phys. Lett. A 375, 88 (2010). PYLAAG 0375-9601 10.1016/j.physleta.2010.11.002
98. M. Esposito and C. van den Broeck, Europhys. Lett. 95, 40004 (2011). EULEEJ 0295-5075 10.1209/0295-5075/95/40004
99. O.J.E. Maroney, Phys. Rev. E 79, 031105 (2009). PLEEE8 1539-3755 10.1103/PhysRevE.79.031105
100. D. Reeb and M.M. Wolf, arXiv:1306.4352.
101. D. Janzing, P. Wocjan, R. Zeier, R. Geiss, and Th. Beth, Int. J. Theor. Phys. 39, 2717 (2000). IJTPBM 0020-7748 10.1023/A:1026422630734
102. F.G.S.L. Brandão, M. Horodecki, J. Oppenheim, J.M. Renes, and R.W. Spekkens, Phys. Rev. Lett. 111, 250404 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.111.250404
103. M. Horodecki and J. Oppenheim, Int. J. Mod. Phys. B 27, 1345019 (2013). IJPBEV 0217-9792 10.1142/S0217979213450197
104. G. Gour, M.P. Müller, V. Narasimhachar, R.W. Spekkens, and N. Yunger Halpern, arXiv:1309.6586.
105. O. Dahlsten, R. Renner, E. Rieper, and V. Vedral, New J. Phys. 13, 053015 (2011). NJOPFM 1367-2630 10.1088/1367-2630/13/5/053015
106. L. del Rio, J. Åberg, R. Renner, O. Dahlsten, and V. Vedral, Nature (London) 474, 61 (2011). NATUAS 0028-0836 10.1038/nature10123
107. J. Åberg, Nat. Commun. 4, 1925 (2013). NCAOBW 2041-1723 10.1038/ncomms2712
108. M. Horodecki and J. Oppenheim, Nat. Commun. 4, 2059 (2013). NCAOBW 2041-1723 10.1038/ncomms3059
109. D. Egloff, O. Dahlsten, R. Renner, and V. Vedral, arXiv:1207.0434.
110. D. Egloff, Master's thesis, ETH Zurich, 2010.
111. P. Faist, F. Dupuis, J. Oppenheim, and R. Renner, arXiv:1211.1037.
112. F.G.S.L. Brandao, M. Horodecki, N.H.Y. Ng, J. Oppenheim, and S. Wehner, arXiv:1305.5278.
113. G. Lindblad, Non-Equilibrium Entropy and Irreversibility (Reidel, Lancaster, 1983).
114. P. Skrzypczyk, A.J. Short, and S. Popescu, Nat. Commun. 5, 4185 (2014). NCAOBW 2041-1723 10.1038/ncomms5185
115. D. Gelbwaser-Klimovsky, R. Alicki, and G. Kurizki, arXiv:1302.3468.
116. W. van Dam and P. Hayden, Phys. Rev. A 67, 060302(R) (2003). PLRAAN 1050-2947 10.1103/PhysRevA.67.060302