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Titlebook: Quantum Information with Continuous Variables; Samuel L. Braunstein,Arun K. Pati Book 2003 Springer Science+Business Media New York 2003 P

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Book 2003quantum computer capable of solving problems that a classical computer could not even begin to handle. Research in quantum information science is now at an advanced enough stage for this dream to be credible and well-worth pursuing. It is, at the same time, too early to predict how quantum computers
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Inseparability Criterion for Continuous Variable Systemserent inseparability criterion for continuous variable states, which was first proposed in Ref. [3]. The Peres-Horodecki criterion was also successfully extended to the continuous variable systems shortly afterwards, which will be described in the next section by Simon.
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Separability Criterion for Gaussian Statesbility, for all Gaussian states: a 1 + 1 syatem has no bound entangled Gaussian state. The symplectic group of linear canonical transformations and the representation of these transformations through (metaplectic) unitary Hilbert space operators play an important role in our ananysis.
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Efficient Classical Simulation of Continuous Variable Quantum Information Processesal 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.
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Quantum Computation Over Continuous Variablesplitters 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 “floating point” computations. Problems of noise, finite precision, and error correction are discussed.
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