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Phys. Rev. A 80, 054302 (2009) [4 pages]

Simple encoding of a quantum circuit amplitude as a matrix permanent

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Terry Rudolph
Optics Section, Blackett Laboratory, Imperial College London, London SW7 2BW, United Kingdom and Institute for Mathematical Sciences, Imperial College London, London SW7 2PG, United Kingdom

Received 18 September 2009; published 25 November 2009

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.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.80.054302
DOI:
10.1103/PhysRevA.80.054302
PACS:
03.67.Lx