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Unifying Classical Spin Models Using A Quantum Formalism

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Title: Unifying Classical Spin Models Using A Quantum Formalism
Author: de las Cuevas, Gemma
Issue Date: 2010-07-23
Publicly Available in cIRcle 2011-01-28
Abstract: We have recently shown that the partition function of any classical spin model, including all discrete standard statistical models and all Abelian discrete lattice gauge theories, can be expressed as the specific instance of the partition function of a four dimensional Ising lattice gauge theory. This unifies models with apparently very different features (global vs. local symmetries, many body interactions, different dimensions, etc) in a single complete model. The proof of the result uses techniques from quantum information. In this talk we review these mappings and discuss recent developments, including quantum algorithms to approximate the partition function.
Affiliation: Non UBC
URI: http://hdl.handle.net/2429/30936
Peer Review Status: Unreviewed
Scholarly Level: Graduate

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