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arXiv · 0909.3005

A simple encoding of a quantum circuit amplitude as a matrix permanent

Terry Rudolph
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Abstract

A simple construction is presented which allows computing the transition amplitude of a quantum circuit to be encoded as computing the permanent of a matrix which is of size proportional to the number of quantum gates in the circuit. This opens up some interesting classical monte-carlo algorithms for approximating quantum circuits.

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Terry Rudolph. 2009-09-16. A simple encoding of a quantum circuit amplitude as a matrix permanent. https://doi.org/10.1103/physreva.80.054302

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