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

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

2009-09-16

arxiv.org/abs/0909.3005v1

Physics

Quantum Physics

6 figures

Scientific paper

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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