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arXiv · 0801.4833

A BQP-complete problem related to the Ising model partition function via a new connection between quantum circuits and graphs

Joseph Geraci
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Abstract

We present a simple construction that maps quantum circuits to graphs and vice-versa. Inspired by the results of D.A. Lidar linking the Ising partition function with quadratically signed weight enumerators (QWGTs), we also present a BQP-complete problem for the additive approximation of a function over hypergraphs related to the generating function of Eulerian subgraphs for ordinary graphs. We discuss connections with the Ising partition function.

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Joseph Geraci. 2008-04-02. A BQP-complete problem related to the Ising model partition function via a new connection between quantum circuits and graphs. https://doi.org/10.1007/s11128-008-0084-7

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