# Estimating Jones polynomials is a complete problem for one clean qubit

@article{Shor2008EstimatingJP,
title={Estimating Jones polynomials is a complete problem for one clean qubit},
author={Peter W. Shor and Stephen P. Jordan},
journal={Quantum Inf. Comput.},
year={2008},
volume={8},
pages={681-714}
}
• Published 19 July 2007
• Mathematics
• Quantum Inf. Comput.
It is known that evaluating a certain approximation to the Jones polynomial for the plat closure of a braid is a BQP-complete problem. That is, this problem exactly captures the power of the quantum circuit model[13, 3, 1]. The one clean qubit model is a model of quantum computation in which all but one qubit starts in the maximally mixed state. One clean qubit computers are believed to be strictly weaker than standard quantum computers, but still capable of solving some classically intractable…
91 Citations

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