# Information transport in classical statistical systems

@article{Wetterich2016InformationTI, title={Information transport in classical statistical systems}, author={C. Wetterich}, journal={arXiv: Statistical Mechanics}, year={2016} }

For "static memory materials" the bulk properties depend on boundary conditions. Such materials can be realized by classical statistical systems which admit no unique equilibrium state. We describe the propagation of information from the boundary to the bulk by classical wave functions. The dependence of wave functions on the location of hypersurfaces in the bulk is governed by a linear evolution equation that can be viewed as a generalized Schr\"odinger equation. Classical wave functions obey…

## 10 Citations

Quantum formalism for classical statistics

- Physics, MathematicsAnnals of Physics
- 2018

In static classical statistical systems the problem of information transport from a boundary to the bulk finds a simple description in terms of wave functions or density matrices. While the transfer…

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A class of fermionic quantum field theories with interactions can be described equivalently as probabilistic cellular automata, namely cellular automata with a probability distribution for the…

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A general formalism for probabilistic computing for which deterministic computing and quantum computing are special limiting cases is proposed, and it is suggested that features of quantum computation or more general Probabilistic computation may be realized by neural networks, neuromorphic computing or perhaps even the brain.

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A simple probabilistic cellular automaton is shown to be equivalent to a relativistic fermionic quantum field theory with interactions, equivalent to the classical statistical system of a generalized Ising model.

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- 2020

This work discusses entangled quantum systems in terms of classical probability distributions, in which quantum field theories have to be described by an overall probability distribution for the whole Universe for all times.

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- Physics
- 2017

The notion of ontological states is introduced here with reference to the Cellular Automaton Interpretation of Quantum Mechanics proposed by G.'t Hooft. A class of discrete deterministic…

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- Physics, Mathematics
- 2019

In order to prepare for the introduction of dynamical many-body and, eventually, field theoretical models, we show here that quantum mechanical exchange interactions in a three-spin chain can emerge…

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- 2020

The dynamics-from-permutations of classical Ising spins is studied for a chain of four spins. We obtain the Hamiltonian operator which is equivalent to the unitary permutation matrix that encodes…

Are Quantum Spins but Small Perturbations of Ontological Ising Spins?

- Physics, MathematicsFoundations of Physics
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The dynamics-from-permutations of classical Ising spins is generalized here for an arbitrarily long chain. This serves as an ontological model with discrete dynamics generated by pairwise exchange…

Probabilistic cellular automata for interacting fermionic quantum field theories

- Physics
- 2020

A particular version of the Thirring model with imaginary coupling can be represented as a cellular automaton. This interacting fermionic quantum field theory obeys a unitary time evolution and shows…

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