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Gaussian quantum information

Open access
Weedbrook, Christian, Pirandola, Stefano, García-Patrón, Raúl, Cerf, Nicolas J., Ralph, Timothy C., Shapiro, Jeffrey H., Lloyd, Seth·2012·Reviews of Modern Physics

Abstract

The science of quantum information has arisen over the last two decades centered on the manipulation of individual quanta of information, known as quantum bits or qubits. Quantum computers, quantum cryptography, and quantum teleportation are among the most celebrated ideas that have emerged from this new field. It was realized later on that using continuous-variable quantum information carriers, instead of qubits, constitutes an extremely powerful alternative approach to quantum information processing. This review focuses on continuous-variable quantum information processes that rely on any combination of Gaussian states, Gaussian operations, and Gaussian measurements. Interestingly, such a restriction to the Gaussian realm comes with various benefits, since on the theoretical side, simple analytical tools are available and, on the experimental side, optical components effecting Gaussian processes are readily available in the laboratory. Yet, Gaussian quantum information processing opens the way to a wide variety of tasks and applications, including quantum communication, quantum cryptography, quantum computation, quantum teleportation, and quantum state and channel discrimination. This review reports on the state of the art in this field, ranging from the basic theoretical tools and landmark experimental realizations to the most recent successful developments.

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Research works printed but not linked: 364

  1. 10.1103/PhysRevLett.87.177901 · DOI · Paper page
  2. 10.1088/1367-2630/11/10/103035 · DOI
  3. 10.1103/PhysRevLett.105.030501 · DOI · Paper page
  4. 10.1103/PhysRevLett.95.150503 · DOI
  5. 10.1088/1751-8113/40/28/S01 · DOI · Paper page
  6. 10.1103/PhysRevA.70.022318 · DOI · Paper page
  7. 10.1103/PhysRevLett.94.240503 · DOI
  8. 10.1002/lpor.200910010 · DOI
  9. 10.1103/PhysRevLett.106.090501 · DOI
  10. Arthurs, E., 1965, Bell Syst. Tech. J., 44, 725, 10.1002/j.1538-7305.1965.tb01684.x · DOI · Paper page
  11. 10.1007/BF02848172 · DOI · Paper page
  12. 10.1103/PhysRevLett.98.160501 · DOI · Paper page
  13. 10.1007/s00220-008-0417-5 · DOI · Paper page
  14. Bachor, H.-A., 2004, A Guide to Experiments in Quantum Optics, 10.1002/9783527619238 · DOI · Paper page
  15. 10.1088/1464-4266/1/6/101 · DOI
  16. 10.1109/18.850671 · DOI · Paper page
  17. 10.1103/PhysRevLett.90.117901 · DOI
  18. 10.1103/PhysRevLett.88.097904 · DOI · Paper page
  19. 10.1103/PhysRevA.53.2046 · DOI · Paper page
  20. Bennett, C. H., 1984, Proceedings of the IEEE International Conference on Computers, Systems and Signal Processing, Bangalore, India
  21. 10.1103/PhysRevLett.68.557 · DOI · Paper page
  22. 10.1103/PhysRevLett.76.722 · DOI · Paper page
  23. 10.1103/PhysRevA.54.3824 · DOI · Paper page
  24. 10.1109/TIT.2002.802612 · DOI · Paper page
  25. 10.1103/PhysRevLett.69.2881 · DOI · Paper page
  26. Bergou, J., 2004, Lecture Notes in Physics
  27. 10.1103/PhysRevA.84.012310 · doi:10.1103/physreva.84.012310
  28. 10.1364/OL.18.001896 · doi:10.1364/ol.18.001896
  29. 10.1103/PhysRevLett.89.187902 · DOI · Paper page
  30. 10.1016/j.physleta.2008.03.048 · DOI
  31. 10.1103/PhysRevA.67.052311 · DOI
  32. 10.1103/PhysRevA.67.032302 · DOI · Paper page
  33. 10.1103/PhysRevA.42.474 · DOI
  34. 10.1103/PhysRevLett.80.4084 · DOI
  35. 10.1038/27850 · DOI
  36. 10.1103/PhysRevA.71.055801 · DOI · Paper page
  37. 10.1103/PhysRevLett.86.4938 · DOI
  38. 10.1103/PhysRevA.43.330 · DOI
  39. 10.1103/PhysRevA.64.022321 · DOI
  40. 10.1103/PhysRevLett.80.869 · DOI · Paper page
  41. 10.1103/PhysRevA.61.042302 · DOI · Paper page
  42. Braunstein, S. L., 2003, Quantum Information with Continuous Variables, 10.1007/978-94-015-1258-9 · DOI · Paper page
  43. 10.1103/PhysRevLett.108.130502 · DOI · Paper page
  44. Bravyi, S., 2005, Quantum Inf. Comput., 5, 216, 10.26421/QIC5.3-3 · DOI
  45. 10.1103/PhysRevA.67.062320 · DOI · Paper page
  46. 10.1364/JOSAB.27.00A110 · DOI
  47. 10.1103/PhysRevA.54.1844 · DOI · Paper page
  48. 10.1088/1367-2630/12/11/113046 · DOI
  49. 10.1088/1367-2630/11/4/045024 · DOI
  50. 10.1103/PhysRevA.77.032311 · DOI
  51. 10.1088/1367-2630/10/8/083030 · DOI
  52. 10.1103/PhysRevA.84.022306 · DOI
  53. 10.1103/PhysRevA.74.062307 · DOI
  54. 10.1088/1367-2630/8/12/310 · DOI
  55. 10.1103/RevModPhys.66.481 · DOI · Paper page
  56. Cerf, N. J., 2003, Quantum Information with Continuous Variables
  57. 10.1103/PhysRevA.72.042330 · DOI
  58. Cerf, N. J., 2006, Progress in Optics
  59. 10.1364/JOSAB.24.000324 · DOI
  60. 10.1103/PhysRevA.62.040301 · DOI
  61. 10.1103/PhysRevLett.87.247903 · DOI
  62. 10.1103/PhysRevA.64.032307 · DOI
  63. 10.1103/PhysRevLett.85.1754 · DOI · Paper page
  64. 10.1103/PhysRevLett.95.070501 · DOI
  65. Cerf, N. J., 2007, Quantum Information with Continuous Variables of Atoms and Light, 10.1142/p489 · DOI · Paper page
  66. 10.1103/PhysRevA.63.052311 · DOI · Paper page
  67. 10.1080/00107510010002599 · DOI · Paper page
  68. 10.1080/09500349808230919 · DOI
  69. 10.1016/S0375-9601(98)00827-5 · DOI · Paper page
  70. 10.1103/PhysRevA.75.022306 · DOI
  71. Childs, A., 2000, J. Mod. Opt., 47, 155, 10.1080/09500340008244034 · DOI · Paper page
  72. 10.1103/PhysRevLett.101.180501 · DOI
  73. 10.1103/PhysRevA.65.022310 · DOI
  74. 10.1103/PhysRevLett.102.020504 · DOI · Paper page
  75. 10.1103/PhysRevA.69.042313 · DOI
  76. 10.1038/nature05655 · DOI
  77. 10.1103/PhysRevA.85.012308 · doi:10.1103/physreva.85.012308
  78. 10.1103/PhysRevLett.102.020502 · DOI
  79. 10.1007/BF00398582 · DOI
  80. 10.1098/rspa.1992.0167 · DOI · Paper page
  81. 10.1103/PhysRevLett.93.080501 · DOI
  82. 10.1016/0375-9601(82)90084-6 · DOI · Paper page
  83. 10.1007/s10701-005-8657-0 · DOI
  84. 10.1038/nphys1112 · DOI
  85. 10.1103/PhysRevLett.103.210501 · DOI
  86. 10.1016/j.aop.2003.12.008 · DOI
  87. 10.1103/RevModPhys.82.277 · DOI · Paper page
  88. 10.1142/S0219749903000371 · DOI · Paper page
  89. 10.1103/PhysRevLett.89.137903 · DOI · Paper page
  90. Eisert, J., 2007, Quantum Information with Continuous Variables of Atoms and Light
  91. 10.1103/PhysRevA.66.042313 · doi:10.1103/physreva.66.042313
  92. 10.1103/PhysRevLett.101.073601 · DOI
  93. Ferraro, A., 2005, Gaussian States in Quantum Information
  94. 10.1103/PhysRevA.77.022310 · DOI
  95. 10.1103/PhysRevA.71.042308 · DOI
  96. 10.1103/PhysRevLett.86.4942 · DOI
  97. 10.1103/PhysRevLett.89.137904 · DOI · Paper page
  98. 10.1103/PhysRevA.66.012304 · DOI
  99. 10.1103/PhysRevA.67.012321 · DOI
  100. 10.1103/PhysRevA.75.052335 · DOI
  101. 10.1103/PhysRevLett.93.180501 · DOI
  102. 10.1103/PhysRevA.67.022304 · DOI
  103. 10.1088/0953-4075/42/11/114009 · DOI
  104. 10.1088/1751-8113/42/6/065302 · doi:10.1088/1751-8113/42/6/065302
  105. 10.1088/1367-2630/11/4/045023 · DOI
  106. Fuchs, C. A., 2000, Quantum Communication, Computing, and Measurement
  107. 10.1109/18.761271 · DOI · Paper page
  108. 10.1126/science.282.5389.706 · DOI · Paper page
  109. Furusawa, A., 2011, Quantum Teleportation and Entanglement: A Hybrid Approach to Optical Quantum Information Processing, 10.1002/9783527635283 · DOI
  110. 10.1038/nphoton.2010.197 · DOI · Paper page
  111. 10.1103/PhysRevLett.97.190503 · DOI · Paper page
  112. 10.1103/PhysRevLett.102.130501 · DOI
  113. 10.1103/PhysRevLett.108.110505 · DOI
  114. 10.1103/PhysRevLett.102.210501 · DOI
  115. 10.1103/PhysRevA.70.062303 · DOI
  116. Gerry, C. C., 2005, Introductory Quantum Optics
  117. 10.1103/PhysRevA.66.032316 · DOI · Paper page
  118. Giedke, G., 2001, Int. J. Quant. Inf., 3, 79
  119. 10.1103/PhysRevLett.87.167904 · DOI
  120. 10.1103/PhysRevLett.91.107901 · DOI · Paper page
  121. 10.1103/PhysRevLett.105.020503 · DOI · Paper page
  122. 10.1103/PhysRevA.70.032315 · DOI
  123. 10.1103/PhysRevLett.92.027902 · DOI · Paper page
  124. 10.1088/1751-8113/43/41/415305 · DOI
  125. 10.1103/PhysRevA.69.062307 · DOI
  126. 10.1103/PhysRevA.70.022328 · DOI
  127. 10.1103/PhysRevA.68.062323 · DOI
  128. 10.1103/PhysRevA.71.062304 · DOI
  129. 10.1103/PhysRevA.73.012325 · DOI
  130. 10.1103/PhysRevA.63.022309 · DOI · Paper page
  131. 10.1103/PhysRevLett.92.047905 · DOI · Paper page
  132. Grosshans, F., 2003, Quantum Inf. Comput., 3, 535, 10.26421/QIC3.s-6 · DOI
  133. 10.1103/PhysRevA.64.010301 · DOI · Paper page
  134. 10.1103/PhysRevLett.88.057902 · DOI · Paper page
  135. 10.1038/nature01289 · DOI · Paper page
  136. 10.1103/PhysRevA.79.062318 · DOI · Paper page
  137. Guha, S., 2011, Laser Science
  138. 10.1103/PhysRevA.80.052310 · DOI · Paper page
  139. 10.1038/nphys1110 · DOI
  140. 10.1103/PhysRevA.50.3295 · DOI
  141. 10.1103/RevModPhys.82.1041 · DOI · Paper page
  142. 10.1103/PhysRevLett.94.150503 · DOI
  143. 10.1103/PhysRevA.64.062301 · DOI
  144. 10.1103/PhysRevA.81.032339 · DOI
  145. 10.1038/nphys1224 · DOI · Paper page
  146. 10.1109/TIT.2009.2023726 · doi:10.1109/tit.2009.2023726
  147. 10.1103/PhysRevA.73.052316 · DOI
  148. 10.1103/PhysRevA.76.022313 · DOI
  149. Helstrom, C. W., 1976, Quantum Detection and Estimation Theory, Mathematics in Science and Engineering
  150. 10.1103/PhysRevA.61.022309 · DOI · Paper page
  151. 10.1103/PhysRevA.73.012330 · DOI
  152. Holevo, A. S., 1973, Probl. Inf. Transm., 9, 177
  153. 10.1109/TIT.1975.1055441 · DOI
  154. 10.1109/18.651037 · DOI · Paper page
  155. 10.1134/S0032946007010012 · DOI
  156. 10.1103/PhysRevA.59.1820 · DOI · Paper page
  157. 10.1103/PhysRevA.63.032312 · DOI · Paper page
  158. 10.1016/S0375-9601(96)00706-2 · DOI · Paper page
  159. 10.1103/PhysRevLett.80.5239 · DOI · Paper page
  160. 10.1103/RevModPhys.81.865 · DOI · Paper page
  161. 10.1016/0034-4877(74)90007-X · DOI · Paper page
  162. 10.1016/0375-9601(93)90880-9 · DOI · Paper page
  163. 10.1088/1367-2630/8/4/051 · DOI
  164. 10.1103/PhysRevA.65.012313 · DOI
  165. 10.1103/PhysRevA.84.022334 · DOI
  166. Jeong, H., 2007, Quantum Information with Continuous Variables of Atoms and Light
  167. 10.1103/PhysRevLett.93.250503 · DOI
  168. 10.1103/PhysRevLett.96.163602 · DOI
  169. 10.1103/PhysRevA.84.062317 · DOI · Paper page
  170. 10.1038/35096524 · DOI · Paper page
  171. Kok, P., 2010, Introduction to Optical Quantum Information Processing, 10.1017/CBO9781139193658 · DOI · Paper page
  172. 10.1103/PhysRevLett.79.1471 · DOI
  173. 10.1103/PhysRevLett.92.177903 · DOI · Paper page
  174. 10.1103/PhysRevLett.95.180503 · DOI
  175. 10.1103/PhysRevLett.62.28 · DOI
  176. 10.1038/nphoton.2010.168 · DOI
  177. Leonhardt, U., 2010, Essential Quantum Optics, 10.1017/CBO9780511806117 · doi:10.1017/cbo9780511806117
  178. 10.1103/PhysRevA.77.042325 · DOI
  179. 10.1103/PhysRevA.80.010102 · doi:10.1103/physreva.80.010102
  180. 10.1103/PhysRevLett.102.180504 · DOI · Paper page
  181. 10.1103/PhysRevA.81.062314 · DOI
  182. 10.1103/PhysRevA.83.042312 · DOI
  183. 10.1103/PhysRevA.81.062343 · DOI · Paper page
  184. 10.1088/1367-2630/11/11/115009 · DOI
  185. 10.1103/PhysRevLett.88.047904 · DOI · Paper page
  186. 10.1088/0305-4470/33/28/310 · DOI
  187. 10.1364/OE.16.003032 · DOI · Paper page
  188. 10.1103/PhysRevA.55.1613 · DOI · Paper page
  189. 10.1126/science.1160627 · DOI · Paper page
  190. 10.1103/PhysRevLett.82.1784 · DOI · Paper page
  191. 10.1103/PhysRevLett.80.4088 · DOI · Paper page
  192. 10.1103/PhysRevLett.108.130503 · DOI · Paper page
  193. 10.1103/PhysRevA.76.042305 · DOI · Paper page
  194. 10.1103/PhysRevLett.98.030503 · DOI
  195. 10.1103/PhysRevA.72.050303 · DOI
  196. 10.1007/s00340-004-1574-7 · DOI
  197. 10.1103/PhysRevA.74.042326 · DOI
  198. 10.1103/PhysRevLett.100.030503 · DOI · Paper page
  199. 10.1103/PhysRevA.81.052314 · DOI
  200. 10.1103/PhysRevA.84.010303 · DOI

200 of 364 shown

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Metadata

Authors
Weedbrook, C., Pirandola, S., García-Patrón, R., Cerf, N. J., Ralph, T. C., Shapiro, J. H., & Lloyd, S.
Venue
Reviews of Modern Physics
Published
2012-05-01
Volume
84
Issue
2
Pages
621-669
ISSN
  • 0034-6861 (ISSN-L)
  • 1539-0756
OpenAlex
W1970948459
Cited by
3,664
References
26
FWCI
146.60
Type
journal article
Language
en
Open access
bronze

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Weedbrook, C., Pirandola, S., García-Patrón, R., Cerf, N. J., Ralph, T. C., Shapiro, J. H., & Lloyd, S. (2012). Gaussian quantum information. Reviews of Modern Physics. https://doi.org/10.1103/revmodphys.84.621

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