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Efficient classical simulation of the approximate quantum Fourier transform

Nadav Yoran·Anthony J. Short
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Abstract

We present a method for classically simulating quantum circuits based on the tensor contraction model of Markov and Shi (quant-ph/0511069). Using this method we are able to classically simulate the approximate quantum Fourier transform in polynomial time. Moreover, our approach allows us to formulate a condition for the composability of simulable quantum circuits. We use this condition to show that any circuit composed of a constant number of approximate quantum Fourier transform circuits and log-depth circuits with limited interaction range can also be efficiently simulated.

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Nadav Yoran, Anthony J. Short. 2006-11-23. Efficient classical simulation of the approximate quantum Fourier transform. https://doi.org/10.1103/physreva.76.042321

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