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Efficient classical simulation of continuous variable quantum information processes

Bartlett, S.D., Sanders, B.C., Braunstein, S.L. and Nemoto, K. (2002) Efficient classical simulation of continuous variable quantum information processes. Physical Review Letters, 88 (9). 097904-1. ISSN 0031-9007

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We obtain sufficient conditions for the efficient simulation of a continuous variable quantum algorithm or process on a classical computer. The resulting theorem is an extension of the Gottesman-Knill theorem to continuous variable quantum information. For a collection of harmonic oscillators, any quantum process that begins with unentangled Gaussian states, performs only transformations generated by Hamiltonians that are quadratic in the canonical operators, and involves only measurements of canonical operators (including finite losses) and suitable operations conditioned on these measurements can be simulated efficiently on a classical computer.

Item Type: Article
Institution: The University of York
Academic Units: The University of York > Computer Science (York)
The University of York > Physics (York)
Depositing User: York RAE Import
Date Deposited: 24 Feb 2009 14:30
Last Modified: 24 Feb 2009 14:30
Published Version: http://dx.doi.org/10.1103/PhysRevLett.88.097904
Status: Published
Publisher: American Physical Society
Identification Number: 10.1103/PhysRevLett.88.097904
URI: http://eprints.whiterose.ac.uk/id/eprint/7241

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