English

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

Quantum Physics 2013-05-29 v1 Computational Complexity

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.

Keywords

Cite

@article{arxiv.0909.3005,
  title  = {A simple encoding of a quantum circuit amplitude as a matrix permanent},
  author = {Terry Rudolph},
  journal= {arXiv preprint arXiv:0909.3005},
  year   = {2013}
}

Comments

6 figures

R2 v1 2026-06-21T13:47:05.558Z