Quantum Approach to Informatics

Quantum Approach to Informatics

Volumn , Issue , 2005, Pages 1-238

  Stenholm, Stig ^a,b   Suominen, Kalle Antti ^c  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b AALTO UNIVERSITY   (Finland)

^c UNIVERSITY OF TURKU   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33746818235     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/0471739367     Document Type: Book

References (109)

1. Akhieser, N. I., and I. M. Glazman, Theory of Linear Operators in Hilbert Space, Vol. 2, Ungar, New York, 1963.
2. Alber, G., T. Beth, M. Horodecki, P. Horodecki, R. Horodecki, M. R̈otteler, H. Weinfurter, R. Werner, and A. Zeilinger, Quantum Information: An Introduction to Basic Theoretical Concepts and Experiments, Springer-Verlag, Heidelberg, Germany, 2001.
3. Alicki, R., and M. Fannes, Quantum Dynamical Systems, Oxford University Press, Oxford, 2001.
4. Alicki, R., and K. Lendi, Dynamical Semigroups and Applications, Lecture Notes in Physics 286, Springer-Verlag, Berlin, 1987.
5. Allen, L., and J. H. Eberly, Optical Resonance and Two-Level Atoms, Dover, New York, 1987.
6. Ash, R. B., Information Theory, Dover, New York, 1965.
7. Aspect, A., Bell's theorem: the naive view of an experimentalist, in [14], p. 119.
8. Belinfante, F. J., Measurement and Time Reversal in Objective Quantum Theory, Pergamon Press, Oxford, 1975.
9. Bell, J. S., On the Einstein-Podolsky-Rosen paradox, Physics 1, 195 (1964).
10. Bennett, C. H., and G. Brassard, Quantum cryptography: public key distribution and coin tossing, in Proceedings of the IEEE International Conference on Computers, Systems and Signal Processing, IEEE, New York, 1984, p. 175.
11. Bennett, C. H., G. Brassard, C. Cŕepeau, R. Jozsa, A. Peres, and W. K. Wootters, Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels, Phys. Rev. Lett. 70, 1895 (1993).
12. Bennett, C. H., G. Brassard, S. Popescu, B. W. Schumacher, J. A. Smolin, and W. K. Wootters, Purification of noisy entanglement and faithful teleportation via noisy channels, Phys. Rev. Lett. 76, 722 (1996).
13. Berman, P. R. (Ed.), Cavity Quantum Electrodynamics, Academic Press, New York, 1994.
14. Bertlmann, R. A., and A. Zeilinger (Eds.), Quantum [Un]speakables: From Bell to Quantum Information, Springer-Verlag, Berlin, 2002.
15. Born, M., and E. Wolf, Principles of Optics, 7th ed., Cambridge University Press, Cambridge, 1999.
16. Bouwmeester, D., J. W. Pan, M. Daniell, H. Weinfurter, and A. Zeilinger, Observation of three-photon Greenberger-Horne-Zeilinger entanglement, Phys. Rev. Lett. 82, 1345 (1999).
17. Bouwmeester, D., A. Ekert, and A. Zeilinger (Eds.), The Physics of Quantum Information, Springer-Verlag, Berlin, 2000.
18. Bouwmeester, D., H. Weinfurter, and A. Zeilinger, Quantum dense coding and quantum teleportation, in [17], p. 49.
19. Breuer, H.-P., and F. Petruccione, The Theory of Open Quantum Systems, Oxford University Press, Oxford, 2002.
20. Busch, P., M. Grabowski, and P. J. Lahti, Operational Quantum Physics, Springer-Verlag, Berlin, 1997.
21. Bǔzek, V., and D. DiVincenzo (Eds.), Physics of quantum information, special issue of J. Mod. Phys. 47, 125 (2000).
22. Bǔzek, V., and M. Hillery, Quantum copying: beyond the no-cloning theorem, Phys. Rev. A 54, 1844 (1996).
23. Carmichael, H., An Open Systems Approach to Quantum Optics, Springer-Verlag, Berlin, 1993.
24. Carmichael, H., Statistical Methods in Quantum Optics 1: Master Equations and Fokker-Planck Equations, Springer-Verlag, Berlin, 1999.
25. Chefles, A., Quantum state discrimination, Contemp. Phys. 41, 401 (2000).
26. Chiorescu, I., Y. Nakamura, C. J. Harmans, and J. E. Mooij, Coherent quantum dynamics of a superconducting flux qubit, Science 299, 1869 (2003).
27. Cirac, J. I., and P. Zoller, Quantum computations with cold trapped ions, Phys. Rev. Lett. 74, 4091 (1995).
28. Clauser, J. F., Early history of Bell's theorem, in [14], p. 61.
29. Cohen-Tannoudji, C., J. Dupont-Roc, and G. Grynberg, Photons and Atoms; Introduction to Quantum Electrodynamics, Wiley, New York, 1989.
30. Davies, E. B., Quantum Theory of Open Systems, Academic Press, London, 1976.
31. Dieks, D., Communication by EPR devices, Phys. Lett. A 96, 271 (1982).
32. DiVincenzo, D. P., The physical implementation of quantum computation, Fortschr. Phys. 48, 771 (2000); special issue on experimental proposals for quantum computation.
33. Ekert, A., Secret sides of Bell's theorem, in [14], p. 209.
34. Ekert, A., N. Gisin, B. Huttner, H. Inamori, and H. Weinfurter, Quantum cryptography, in [17], p. 15.
35. Fano, U., Description of states in quantum mechanics by density matrix and operator techniques, Rev. Mod. Phys. 29, 74 (1957).
36. Feynman, R. P., Lectures on Computation, Addison-Wesley, Reading, MA, 1996.
37. Ghosh, P. K., Ion Traps, Oxford University Press, Oxford, 1995.
38. Gorini, V., A. Kossakowski, and E. C. G. Sudarshan, Completely positive dynamical semigroups of n-level systems, J. Math. Phys. 17, 821 (1976).
39. Gramss, T., S. Bornholdt, M. Gross, M. Mitchell, and T. Pellizzari, Non-standard Computations, Wiley-VCD, Weinheim, Germany, 1998.
40. Greenberger, D. M., M. A. Horne, A. Shimony, and A. Zeilinger, Bell's theorem without inequalities, Am. J. Phys. 58, 1131 (1990).
41. Greiner, M., O. Mandel, T. Esslinger, T. W. Ḧansch, and I. Bloch, Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms, Nature 415, 39 (2002).
42. Grover, L. K., Quantum mechanics helps in searching for a needle in a haystack, Phys. Rev. Lett. 79, 325 (1997).
43. Gruska, J., Quantum Computing, McGraw-Hill, Maidenhead, Berkshire, England, 1999.
44. Ter Haar, D., Theory and applications of the density matrix, Rep. Prog. Phys. 24, 304 (1961).
45. Helstrom, C. W., Quantum Detection and Estimation Theory, Academic Press, New York, 1976.
46. Hey, A. J. G. (Ed.), Feynman and Computation: Exploring the Limits of Computers, Perseus Books, New York, 1999.
47. Horvath, G. Z. K., R. C. Thompson, and P. L. Knight, Fundamental physics with trapped ions, Contemp. Phys. 38, 25 (1997).
48. Hughston, L. P., R. Jozsa, and W. K. Wootters, A complete classification of quantum ensembles having a given density matrix, Phys. Lett. A 183, 14 (1993).
49. Humphreys, J. F., and M. Y. Prest, Numbers, Groups and Codes, Cambridge University Press, Cambridge, 1989.
50. Isham, C. J., Lectures on Quantum Theory, Imperial College Press, London, 1995.
51. Jammer, M., The Philosophy of Quantum Mechanics; The Interpretation of Quantum Mechanics in Historical Perspective, Wiley, New York, 1974.
52. Jones, G. A., and J. M. Jones, Information and Coding Theory, Springer-Verlag, London, 2000.
53. Khinchin, A., Mathematical Foundations of Information Theory, Dover, New York, 1957.
54. Kneebone, G. T., Mathematical Logic and the Foundations of Mathematics, Van Nostrand, Princeton, NJ, 1963.
55. Knight, P. L., Quantum fluctuations in optical systems, in Les Houches Session LXIII, 1995, Elsevier, Amsterdam, 1997, p. 1.
56. Kraus, K., General state changes in quantum theory, Ann. Phys. 64, 311 (1971).
57. Kraus, K., States, Effects and Operations: Fundamental Notions of Quantum Theory, Lecture Notes in Physics, Vol. 190, Springer-Verlag, Heidelberg, Germany, 1983.
58. Landau, L. D., and R. Peierls, Extension of the uncertainty principle to relativistic quantum theory, Z. Phys. 69, 56 (1931); also in [105], p. 465.
59. Leff, H. S., and A. F. Rex, Maxwell's Demon 2, IOP Publishing, Bristol, Gloucestershire, England, 2003.
60. Levi, B. G., Two-ion logic gates open the way to further advances in quantum computing, Phys. Today 56(5), 17 (2003).
61. Lindblad, G., On the generators of quantum dynamical semigroups, Commun. Math. Phys. 48, 119 (1976).
62. Loudon, R., The Quantum Theory of Light, 3rd ed., Oxford University Press, Oxford, 2000.
63. Makhlin, Y., G. Scḧon, and A. Shnirman, Quantum-state engineering with Josephson junction devices, Rev. Mod. Phys. 73, 357 (2001).
64. Mandel, L., and E. Wolf, Optical Coherence and Quantum Optics, Cambridge University Press, Cambridge, 1995.
65. Matsueda, H., Solid-state quantum computations, in [79], p. 422.
66. Meijer, P. H. E. (Ed.), Views of a Physicist: Selected Papers of N. G. van Kampen, World Scientific, Singapore, 2000.
67. Mensky, M. B., Quantum Measurements and Decoherence: Models and Phenomenology, Kluwer Academic, Dordrecht, The Netherlands, 2000.
68. Milburn, G. J., The Feynman Processor, Perseus Books, Cambridge, 1998.
69. Mølmer, K., Y. Castin, and J. Dalibard, Monte-Carlo wave function method in quantum optics, J. Opt. Soc. Am. B 10, 527 (1993).
70. N̈agerl, H. C., W. Bechter, J. Eschner, F. Schmidt-Kaler, and R. Blatt, Appl. Phys. B 66, 603 (1998).
71. Neumann, J. von, Mathematical Foundations of Quantum Mechanics, Princeton University Press, Princeton, NJ, 1955.
72. Nielsen, M. A., and I. L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press, Cambridge, 2000.
73. Pan, J. W., and A. Zeilinger, Multi-particle entanglement and quantum non-locality, in [14], p. 225.
74. Pan, J. W., D. Bouwmeester, H. Weinfurter, and A. Zeilinger, Experimental test of quantum nonlocality in three-photon Greenberger-Horne-Zeilinger entanglement, Nature 403, 515 (2000).
75. Pauli, W., General Principles of Quantum Mechanics, Springer-Verlag, Berlin, 1980.
76. Pegg, D. T., and S. M. Barnett, Retrodiction in quantum optics, J. Opt. B: Quantum Semiclass. Opt. 1, 442 (1999).
77. Penrose, R., The Emperor's New Mind: Concerning Computers, Minds, and the Laws of Physics, Oxford University Press, Oxford, 1989.
78. Peres, A., Quantum Theory: Concepts and Methods, Kluwer Academic, Dordrecht, The Netherlands, 1995.
79. Pěrina, J. (Ed.), Coherence and Statistics of Photons and Atoms, Wiley, New York, 2001.
80. Pethick, C. J., and H. Smith, Bose-Einstein Condensation in Dilute Gases, Cambridge University Press, Cambridge, 2002.
81. Plenio, M. B., and P. L. Knight, The quantum jump approach to dissipative dynamics in quantum optics, Rev. Mod. Phys. 70, 101 (1998).
82. Plenio, M. B., and V. Vedral, Teleportation, entanglement and thermodynamics in the quantum world, Contemp. Phys. 39, 431 (1998).
83. Plenio, M. B., and V. Vitelli, The physics of forgetting: Landauer's erasure principle and information theory, Contemp. Phys. 42, 25 (2001).
84. Preskill, J., Quantum information and physics: some future directions, in [21], p. 127.
85. Sakaguchi, U., H. Ozawa, and T. Fukumi, NMR quantum computations, in [79], p. 470.
86. Schr̈odinger, E., Discussion of probability relations between separated systems, Proc. Cambridge Philos. Soc. 31, 555 (1935).
87. Schroeder, M. R., Number Theory in Science and Communication, Springer-Verlag, Berlin, 1990.
88. Scully, M. O., and M. S. Zubairy, Quantum Optics, Cambridge University Press, Cambridge, 1997.
89. Shannon, C. E., A mathematical theory of communication, Bell System Tech. J. 27, 379 and 623 (1948).
90. Shor, P. W., Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer, SIAM J. Comput. 26, 1484 (1997).
91. Silverman, R. A., Introductory Complex Analysis, Dover, New York, 1972.
92. Sørensen, A., and K. Mølmer, Quantum computation with ions in thermal motion, Phys. Rev. Lett. 82, 1971 (1999).
93. Sørensen, A., and K. Mølmer, Entanglement and quantum computation with ions in thermal motion, Phys. Rev. A 62, 022311 (2000).
94. Stenholm, S., Occurrences, observations and measurements in quantum mechanics, Phys. Scr. 47, 724 (1993).
95. Stenholm, S., and E. Andersson, Shared access to quantum information, Phys. Rev. A 62, 044301 (2000).
96. Stenholm, S., and M. Wilkens, Jumps in quantum theory, Contemp. Phys. 38, 257 (1997).
97. Stinespring, W. F., Positive function on C* algebras, Proc. Am. Math. Soc. 6, 233 (1955).
98. Sudarshan, E. C. G., Quantum dynamics, metastable states and contractive semigroups, Phys. Rev. A 46, 37 (1992).
99. Turchette, Q. A., C. J. Hood, W. Lange, H. Mabuchi, and H. J. Kimble, Measurement of conditional phase shifts for quantum logic, Phys. Rev. Lett. 75, 4710 (1995).
100. Viamontes, G. F., I. L. Markov, and J. P. Hayes, Is Quantum Search Practical, LANL database article quant-ph/0405001 (2004).
101. Vogel, W., and S. Wallentowitz, Manipulation of the quantum state of a trapped ion, in [79], p. 333.
102. Walls, D. F., and G. J. Milburn, Quantum Optics, Springer-Verlag, Berlin, 1994.
103. Wehrl, A., General properties of entropy, Rev. Mod. Phys. 50, 221 (1978).
104. Werner, R. F., Quantum information theory: an invitation, in [2], p. 14.
105. Wheeler, J. A., and W. H. Zurek, Quantum Theory and Measurements, Princeton University Press, Princeton, NJ, 1983.
106. Wittgenstein, L., Tractatus Logico-Philosophicus, Routledge & Kegan Paul, London, 1961.
107. Wootters, W. K., and W. H. Zurek, A single quantum cannot be cloned, Nature 299, 802 (1982).
108. Zalka, C., Using Grover's quantum algorithm for searching actual databases, Phys. Rev. A 62, 052305 (2000).
109. Zurek, W. H. (Ed.), Complexity, Entropy and the Physics of Information, Santa Fe Institute, Vol. VIII, Addison-Wesley, Redwood City, CA, 1990