Classical spin models and the quantum stabilizer formalism

Details Classical spin models and the quantum stabilizer formalism Classical spin models and the quantum stabilizer formalism

2006-10-19

arxiv.org/abs/quant-ph/0610157v1

Phys. Rev. Lett. 98, 117207 (2007)

Physics

Quantum Physics

5 pages

Scientific paper

We relate a large class of classical spin models, including the inhomogeneous Ising, Potts, and clock models of q-state spins on arbitrary graphs, to problems in quantum physics. More precisely, we show how to express partition functions as inner products between certain quantum stabilizer states and product states. This connection allows us to use powerful techniques developed in quantum information theory, such as the stabilizer formalism and classical simulation techniques, to gain general insights into these models in a unified way. We recover and generalize several symmetries and high-low temperature dualities, and we provide an efficient classical evaluation of partition functions for all interaction graphs with a bounded tree-width.

Affiliated with

Also associated with

No associations

Rating

Classical spin models and the quantum stabilizer formalism does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Classical spin models and the quantum stabilizer formalism, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classical spin models and the quantum stabilizer formalism will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-13110