Phys. Rev. Lett. 82, 1784–1787 (1999)Quantum Computation over Continuous VariablesReceived 27 October 1998; published in the issue dated 22 February 1999 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. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.82.1784
DOI:
10.1103/PhysRevLett.82.1784
PACS:
03.67.Lx, 46.05.+b
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