Quantum Computation over Continuous Variables

Seth Lloyd and Samuel L. Braunstein
Phys. Rev. Lett. 82, 1784 – Published 22 February 1999
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Abstract

This paper provides necessary and sufficient conditions for constructing a universal quantum computer over continuous variables. As an example, it is shown how a universal quantum computer for the amplitudes of the electromagnetic field might be constructed using simple linear devices such as beam splitters and phase shifters, together with squeezers and nonlinear devices such as Kerr-effect fibers and atoms in optical cavities. Such a device could in principle perform “quantum floating point” computations. Problems involving noise, finite precision, and error correction are discussed.

  • Received 27 October 1998

DOI:https://doi.org/10.1103/PhysRevLett.82.1784

©1999 American Physical Society

Authors & Affiliations

Seth Lloyd

  • MIT Department of Mechanical Engineering, MIT 3-160, Cambridge, Massachusetts 02139

Samuel L. Braunstein

  • SEECS, University of Wales, Bangor LL57 1UT, United Kingdom

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Vol. 82, Iss. 8 — 22 February 1999

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