Topological subsystem codes by Bombin, Hector

“…In addition, we give a general mapping connecting suitable classical statistical mechanical models to optimal error correction in subsystem stabilizer codes that suffer from depolarizing noise.…”
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Investigating critical systems via the distribution of correlation lengths by Lorenzo Palmieri, Henrik Jeldtoft Jensen

“…We analyze in detail two classical statistical mechanical systems (the XY model and the Ising model) and one of the prototype models of self-organized criticality [the forest fire model (FFM)]. …”
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Reentrant phase behaviour for systems with competition between phase separation and self-assembly by Reinhardt, A, Williamson, A, Doye, J, Carrete, J, Varela, L, Louis, A

“…Here, we present a classical statistical mechanical approach to the determination of the complete phase diagram of such a system. …”

Re-entrant phase behavior for systems with competition between phase separation and self-assembly. by Reinhardt, A, Williamson, A, Doye, J, Carrete, J, Varela, L, Louis, A

“…Here, we present a classical statistical mechanical approach to the determination of the complete phase diagram of such a system. …”

Evolutionary Model of Signed Edges in Online Networks Based on Infinite One-Dimensional Uniform Lattice by Zhenpeng Li, Zhihua Yan, Xijin Tang

“…Both empirically and theoretically, we validate that signed network links follow the classic statistic mechanism, i.e., local Brownian motion gives rise to the global emergence pattern of the Gaussian process. …”
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Efficient Classical Simulation of Random Shallow 2D Quantum Circuits by John C. Napp, Rolando L. La Placa, Alexander M. Dalzell, Fernando G. S. L. Brandão, Aram W. Harrow

“…Via a mapping from random quantum circuits to classical statistical mechanical models, we give analytical evidence that a similar computational phase transition occurs for both of our algorithms as parameters of the circuit architecture like the local Hilbert space dimension and circuit depth are varied and, additionally, that the effective 1D dynamics corresponding to sufficiently shallow random quantum circuits falls within the efficient-to-simulate regime. …”
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