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math-ph2026
Thermalization with Gaussian Quantum Cellular Automata
Roman Geiko, Jake Gerenraich
We study the long-time dynamics of many-body bosonic lattice systems under translation-invariant Gaussian quantum cellular automata. We formulate two sets of conditions on GQCAs wh…
math-ph2025
A Classification of Invertible Stabilizer Codes
Roman Geiko, Georgii Shuklin
We develop a framework for the classification of invertible translation-invariant stabilizer codes modulo condensation and stabilization with simple codes. Our stabilizer codes gen…
math-ph2024
Parametrized topological phases in 1d and T-duality
Roman Geiko
There are families of physical systems that cannot be adiabatically evolved to the trivial system uniformly across the parameter space, even if each system in the family belongs to…