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Abstract: We present a quantum algorithm that additively approximates the value of atensor network to a certain scale. When combined with existing results, thisprovides a complete problem for quantum computation. The result is a simple newway of looking at quantum computation in which unitary gates are replaced bytensors and time is replaced by the order in which the tensor-network is-swallowed-. We use this result to derive new quantum algorithms thatapproximate the partition function of a variety of classical statisticalmechanics models, including the Potts model.



Autor: Itai Arad, Zeph Landau

Fuente: https://arxiv.org/







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