Continuous-variable quantum information

Continuous-variable (CV) quantum information is the area of quantum information science that makes use of physical observables, like the strength of an electromagnetic field, whose numerical values belong to continuous intervals.[1][2][3] One primary application is quantum computing. In a sense, continuous-variable quantum computation is "analog", while quantum computation using qubits is "digital." In more technical terms, the former makes use of Hilbert spaces that are infinite-dimensional, while the Hilbert spaces for systems comprising collections of qubits are finite-dimensional.[4] One motivation for studying continuous-variable quantum computation is to understand what resources are necessary to make quantum computers more powerful than classical ones.[5]

  1. ^ Weedbrook, Christian; Pirandola, Stefano; García-Patrón, Raúl; Cerf, Nicolas J.; Ralph, Timothy C.; Shapiro, Jeffrey H.; Lloyd, Seth (2012-05-01). "Gaussian quantum information". Reviews of Modern Physics. 84 (2): 621–669. arXiv:1110.3234. Bibcode:2012RvMP...84..621W. doi:10.1103/RevModPhys.84.621. S2CID 119250535.
  2. ^ Braunstein, Samuel L.; van Loock, Peter (2005-06-29). "Quantum information with continuous variables". Reviews of Modern Physics. 77 (2): 513–577. arXiv:quant-ph/0410100. Bibcode:2005RvMP...77..513B. doi:10.1103/RevModPhys.77.513. S2CID 118990906.
  3. ^ Adesso, Gerardo; Ragy, Sammy; Lee, Antony R. (2014-03-12). "Continuous Variable Quantum Information: Gaussian States and Beyond". Open Systems & Information Dynamics. 21 (1n02): 1440001. arXiv:1401.4679. doi:10.1142/S1230161214400010. ISSN 1230-1612. S2CID 15318256.
  4. ^ Braunstein, S. L.; Pati, A. K. (2012-12-06). Quantum Information with Continuous Variables. Springer Science & Business Media. CiteSeerX 10.1.1.762.4959. doi:10.1007/978-94-015-1258-9. ISBN 9789401512589.
  5. ^ Lloyd, Seth; Braunstein, Samuel L. (1999-01-01). "Quantum Computation over Continuous Variables". Physical Review Letters. 82 (8): 1784–1787. arXiv:quant-ph/9810082. Bibcode:1999PhRvL..82.1784L. doi:10.1103/PhysRevLett.82.1784. S2CID 119018466.