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We use the class of commuting quantum computations known as IQP (Instantaneous Quantum Polynomial time) to strengthen the conjecture that quantum computers are hard to simulate classically.
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S. Aaronson and A. Arkhipov, “The computational complexity of linear optics,” Theory of Computing 9
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B. Fefferman and C. Umans, “On the power of Quantum Fourier Sampling,” (2015), poster presentation, QIP 2015
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