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Colloquium: The physics of Maxwell’s demon and information

Koji Maruyama, Franco Nori, and Vlatko Vedral

Koji Maruyama

  • Advanced Science Institute, RIKEN (The Institute of Physical and Chemical Research), Wako-shi 351-0198, Japan and CREST, Japan Science and Technology Agency (JST), Kawaguchi, Saitama 332-0012, Japan

Franco Nori

  • Advanced Science Institute, RIKEN (The Institute of Physical and Chemical Research), Wako-shi 351-0198, Japan; CREST, Japan Science and Technology Agency (JST), Kawaguchi, Saitama 332-0012, Japan; and Center for Theoretical Physics, Physics Department, Center for the Study of Complex Systems, University of Michigan, Ann Arbor, Michigan 48109-1040, USA

Vlatko Vedral

  • The School of Physics and Astronomy, University of Leeds, Leeds, LS2 9JT, United Kingdom and Quantum Information Technology Lab, National University of Singapore, 117542 Singapore, Singapore

Rev. Mod. Phys. 81, 1 – Published 6 January, 2009

DOI: https://doi.org/10.1103/RevModPhys.81.1

Abstract

Maxwell’s demon was born in 1867 and still thrives in modern physics. He plays important roles in clarifying the connections between two theories: thermodynamics and information. Here the history of the demon and a variety of interesting consequences of the second law of thermodynamics are presented, mainly in quantum mechanics, but also in the theory of gravity. Also highlighted are some of the recent work that explores the role of information, illuminated by Maxwell’s demon, in the arena of quantum-information theory.

Article Text

References (105)

  1. Allahverdyan, A. E., and T. M. Nieuwenhuizen, 2001, Phys. Rev. E 64, 056117.
  2. Allahverdyan, A. E., and T. M. Nieuwenhuizen, 2006, Phys. Rev. E 73, 066119.
  3. Bardeen, J. M., B. Carter, and S. W. Hawking, 1973, Commun. Math. Phys. 31, 161.
  4. Bekenstein, J. D., 1973, Phys. Rev. D 7, 2333.
  5. Bekenstein, J. D., 1974, Phys. Rev. D 9, 3292.
  6. Bell, J. S., 1964, Physics (Long Island City, N.Y.) 1, 195.
  7. Bennett, C. H., 1982, Int. J. Theor. Phys. 21, 905.
  8. Bennett, C. H., 2003, Stud. Hist. Philos. Mod. Phys. 34, 501.
  9. Bennett, C. H., and G. Brassard, 1984, Proceedings of the IEEE International Conference on Computers, Systems, and Signal Processing (IEEE Press, Los Alamitos, CA).
  10. Bennett, C. H., G. Brassard, C. Crepeau, R. Jozsa, A. Peres, and W. K. Wootters, 1993, Phys. Rev. Lett. 70, 1895.
  11. Bennett, C. H., G. Brassard, S. Popescu, B. Schumacher, J. A. Smolin, and W. K. Wootters, 1996, Phys. Rev. Lett. 76, 722.
  12. Bennett, C. H., and S. Weisner, 1992, Phys. Rev. Lett. 69, 2881.
  13. Bousso, R., 2002, Rev. Mod. Phys. 74, 825.
  14. Braunstein, S. L., and C. M. Caves, 1990, Ann. Phys. 202, 22.
  15. Brillouin, L., 1951, J. Appl. Phys. 22, 334.
  16. Brillouin, L., 2004, Science and Information Theory, 2nd ed. (Dover, New York) (a reprint of the original book, La Science et la Théorie de l’information, published in 1959).
  17. Clauser, J. F., M. A. Horne, A. Shimony, and R. A. Holt, 1969, Phys. Rev. Lett. 23, 880.
  18. Davies, P. C., 1975, J. Phys. A 8, 609.
  19. Demers, P., 1944, J. Curric. Stud. 22, 27.
  20. Ekert, A., 1991, Phys. Rev. Lett. 67, 661.
  21. Feynman, R. P., R. B. Leighton, and M. Sands, 1965, The Feynman Lectures on Physics—Vol. 1 (Addison-Wesley, Reading, MA).
  22. Gabor, D., 1961, in Progress in Optics, edited by E. Wolf (North-Holland, Amsterdam), p. 111.
  23. Giovannetti, V., 2004, Phys. Rev. A 70, 012102.
  24. Groisman, B., S. Popescu, and A. Winter, 2005, Phys. Rev. A 72, 032317.
  25. Grover, L. K., 1996, Proceedings of STOC’96 -Symposium on the Theory of Computing, Philadelphia (ACM, New York), p. 212.
  26. Gühne, O., and M. Lewenstein, 2004a, Phys. Rev. A 70, 022316.
  27. Gühne, O., and M. Lewenstein, 2004b, Ann. Isr. Phys. Soc. 734, 230.
  28. Hausladen, P., R. Jozsa, B. Schumacher, M. Westmoreland, and W. K. Wootters, 1996, Phys. Rev. A 54, 1869.
  29. Hawking, S. W., 1974, Nature (London) 248, 30.
  30. Hawking, S. W., 2005, Phys. Rev. D 72, 084013.
  31. Holevo, A. S., 1973, Probl. Peredachi Inf. 9, 3 [Probl. Inf. Transm. 9, 77 (1973)].
  32. Holevo, A. S., 1998, IEEE Trans. Inf. Theory 44, 269.
  33. Horodecki, M., 2001, Quantum Inf. Comput. 1, 3.
  34. Horodecki, M., P. Horodecki, and R. Horodecki, 1996, Phys. Lett. A 223, 1.
  35. Horodecki, M., P. Horodecki, R. Horodecki, J. Oppenheim, A. Sen(De), U. Sen, and B. Synak-Radtke, 2005, Phys. Rev. A 71, 062307.
  36. Horodecki, P., and R. Horordecki, 2001, Quantum Inf. Comput. 1, 45.
  37. Horodecki, R., P. Horodecki, M. Horodecki, and K. Horodecki, 2007, e-print arXiv:quant-ph/0702225, Rev. Mod. Phys. (to be published).
  38. Jacobson, T., 1995, Phys. Rev. Lett. 75, 1260.
  39. Jacobson, T., 1996, Introductory Lectures on Black Hole Thermodynamics, http://www.glue.umd.edu/tajac/BHTlectures/lectures.ps.
  40. Jarzynski, C., 1999, J. Stat. Phys. 96, 415.
  41. Jaynes, E. T., 1992, in Maximum Entropy and Bayesian Methods, edited by C. R. Smith, G. J. Erickson, and P. O. Neudorfer (Kluwer Academic, Dordrecht), p. 1.
  42. Kawai, R, J. M. R. Parrondo, and C Van den Broeck, 2007, Phys. Rev. Lett. 98, 080602.
  43. Kieu, T. D., 2004, Phys. Rev. Lett. 93, 140403.
  44. Landauer, R., 1961, IBM J. Res. Dev. 5, 183.
  45. Landé, A., 1952, Phys. Rev. 87, 267.
  46. Leff, H. S., and A. F. Rex, 2003, Maxwell’s Demon 2 (IOP, Bristol).
  47. Levitin, L. B., 1993, Proceedings of the Workshop on Physics and Computation, PhysComp’92 (IEEE Computer Society Press, Los Alamitos, CA), p. 223.
  48. Lindblad, G., 1974, J. Stat. Phys. 11, 231.
  49. Lloyd, S., 1997, Phys. Rev. A 56, 3374.
  50. Lubkin, E., 1987, Int. J. Theor. Phys. 26, 523.
  51. Lyuboshitz, V. L., and M. I. Podgoretskii, 1970, Sov. Phys. Dokl. 194, 547.
  52. Maruyama, K., C. Brukner, and V. Vedral, 2005, J. Phys. A 38, 7175.
  53. Maruyama, K., F. Morikoshi, and V. Vedral, 2005, Phys. Rev. A 71, 012108.
  54. Maxwell, J. C., 1911, in Life and Scientific Work of Peter Guthrie Tait, edited by C. G. Knott (Cambridge University Press, London), p. 213.
  55. Nielsen, M. A., and I. L. Chuang, 2000, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England).
  56. Oppenheim, J., M. Horodecki, P. Horodecki, and R. Horodecki, 2002, Phys. Rev. Lett. 89, 180402.
  57. Page, D. N., 2005, New J. Phys. 7, 203.
  58. Peres, A., 1989, Phys. Rev. Lett. 63, 1114.
  59. Peres, A., 1990, in Complexity, Entropy, and the Physics of Information, edited by W. H. Zurek (Addison-Wesley, Reading, MA), P. 345.
  60. Peres, A., 1993, Quantum Theory: The Concepts and Methods (Kluwer Academic, Boston).
  61. Peres, A., 1996, Phys. Rev. Lett. 77, 1413.
  62. Piechocinska, B., 2000, Phys. Rev. A 61, 062314.
  63. Pippard, A. B., 1957, Elements of Classical Thermodynamics (Cambridge University Press, Cambridge, England).
  64. Plenio, M. B., 1999, Phys. Lett. A 263, 281.
  65. Plenio, M. B., and S. Virmani, 2005, Quantum Inf. Comput. 7, 1.
  66. Plenio, M. B., and V. Vitelli, 2001, Contemp. Phys. 42, 25.
  67. Poisson, E., 2004, A Relativist’s Toolkit: The Mathematics of Black Hole Mechanics (Cambridge University Press, Cambridge, England).
  68. Pound, R. V., and G. A. Rebka, 1960, Phys. Rev. Lett. 4, 337.
  69. Pound, R. V., and J. L. Snider, 1964, Phys. Rev. Lett. 13, 539.
  70. Preskill, J., 1992, e-print arXiv:hep-th/9209058.
  71. Quan, H. T., Y. X. Liu, C. P. Sun, and F. Nori, 2007, Phys. Rev. E 76, 031105.
  72. Quan, H. T., Y. D. Wang, Y. X. Liu, C. P. Sun, and F. Nori, 2006, Phys. Rev. Lett. 97, 180402.
  73. Quan, H. T., P. Zhang, and C. P. Sun, 2005, Phys. Rev. E 72, 056110.
  74. Quan, H. T., P. Zhang, and C. P. Sun, 2006, Phys. Rev. E 73, 036122.
  75. Rains, E., 1999, Phys. Rev. A 60, 179.; 63, 019902(E), 2000.
  76. Rostovtsev, Y., Z.-E. Sariyanni, M. S. Zubairy, and M. O. Scully, 2005, Physica E (Amsterdam) 29, 40.
  77. Rostovtsev, Y. V., A. B. Matsko, N. Nayak, M. S. Zubairy, and M. O. Scully, 2003, Phys. Rev. A 67, 053811.
  78. Sariyanni, Z.-E., Y. Rostovtsev, M. S. Zubairy, and M. O. Scully, 2005, Physica E (Amsterdam) 29, 47.
  79. Schrödinger, E., 1944, What is Life? (Cambridge University Press, Cambridge, England).
  80. Schumacher, B., and M. D. Westmoreland, 2000, Quantum Information and Quantum Computation, American Mathematical Society Contemporary Mathematics Series No. 305 (AMS, Providence, RI).
  81. Scully, M. O., 2001, Phys. Rev. Lett. 87, 220601.
  82. Scully, M. O., 2002, Phys. Rev. Lett. 88, 050602.
  83. Scully, M. O., 2003, Science 299, 862.
  84. Scully, M. O., Y. Rostovtsev, Z.-E. Sariyanni, and M. S. Zubairy, 2005, Physica E (Amsterdam) 29, 29.
  85. Scully, M. O., and M. S. Zubairy, 1997, Quantum Optics (Cambridge University Press, Cambridge, England).
  86. Shannon, C. E., 1948, Bell Syst. Tech. J. 27, 379.
  87. Shannon, C. E., and W. W. Weaver, 1949, The Mathematical Theory of Communication (University of Illinois, Urbana).
  88. Shizume, K., 1995, Phys. Rev. E 52, 3495.
  89. Shor, P. W., 1994, Proceedings of FOCS’94 -Symposium on Foundations of Computer Science, Santa Fe, New Mexico (IEEE Press, Los Alamitos, CA), p 124.
  90. Skordos, P. A., and W. H. Zurek, 1992, Am. J. Phys. 60, 876.
  91. Szilard, L., 1929, Z. Phys. 53, 840. [Behav. Sci. 9, 301 (1964)].
  92. Terhal, B. M., 2000, Phys. Lett. A 271, 319.
  93. Unruh, W. G., 1976, Phys. Rev. D 14, 870.
  94. v. Smoluchowski, M., 1912, Phys. Z. 13, 1069.
  95. Vedral, V., 2000, Proc. R. Soc. London, Ser. A 456, 969.
  96. Vedral, V., 2002, Rev. Mod. Phys. 74, 197.
  97. Vedral, V., and M. B. Plenio, 1998, Phys. Rev. A 57, 1619.
  98. Vedral, V., M. B. Plenio, M. A. Rippin, and P. L. Knight, 1997, Phys. Rev. Lett. 78, 2275.
  99. von Neumann, J., 1955, Mathematical Foundations of Quantum Mechanics (Princeton University Press, Princeton) (Eng. translation by R. T. Beyer).
  100. Wald, R. M., 2001, Living Rev. Relativ. 4, 6.
  101. Werner, R. F., 1989, Phys. Rev. A 40, 4277.
  102. Wigner, E. P., 1959, Group Theory (Academic, New York).
  103. You, J. Q., and F. Nori, 2005, Phys. Today 58 (11), 42.
  104. Zurek, W. H., 2000, Ann. Phys. 9, 855.
  105. Zurek, W. H., 2003, Phys. Rev. A 67, 012320.

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