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We show that quantum circuits where the initial state and all the following quantum operations can be represented by positive Wigner functions can be classically efficiently simulated.
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For a discussion of the Gottesman-Knill theorem and efficient simulation of stabilizer circuits in terms of graph states [ 15 ] , see Ref. [ 14 ]
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V. Veitch, C. Ferrie, N. Wiebe, and J. Emerson, in preparation (2012)
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