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arXiv · 1204.1084

Encoding Universal Computation in the Ground States of Ising Lattices

Mile Gu·Alvaro Perales
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Abstract

We characterize the set of ground states that can be synthesized by classical 2-body Ising Hamiltonians. We then construct simple Ising planar blocks that simulates efficiently a universal set of logic gates and connections, and hence any boolean function. We therefore provide a new method of encoding universal computation in the ground states of Ising lattices, and a simpler alternative demonstration of the known fact that finding the ground state of a finite Ising spin glass model is NP complete. We relate this with our previous result about emergence properties in infinite lattices.

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Mile Gu, Alvaro Perales. 2012-07-17. Encoding Universal Computation in the Ground States of Ising Lattices. https://doi.org/10.1103/physreve.86.011116

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