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Quantum computation over continuous variables

1998/10/27 by Seth Lloyd, Samuel L. Braunstein · 1 citation
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1103/physrevlett.82.1784

published as Phys.Rev.Lett. 82 (1999) 1784-1787 · 9 pages, TeX

arxiv created 1998/10/27 · arxiv updated 2009/12/01

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 of noise, finite precision, and error correction are discussed.

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