Introduces non-uniform cellular automata via lattice embedding to enable models on hyperbolic lattices for quantum many-body and percolation physics.
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Provides two sets of conditions on GQCAs guaranteeing thermalization to infinite temperature via a quantum many-body generalization of the Riemann-Lebesgue lemma for states with bounded density.
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Universal Design and Physical Applications of Non-Uniform Cellular Automata on Translationally Invariant Lattices
Introduces non-uniform cellular automata via lattice embedding to enable models on hyperbolic lattices for quantum many-body and percolation physics.
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Thermalization with Gaussian Quantum Cellular Automata
Provides two sets of conditions on GQCAs guaranteeing thermalization to infinite temperature via a quantum many-body generalization of the Riemann-Lebesgue lemma for states with bounded density.