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Quantum circuits with free fermions in dis- guise

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Open-boundary integrable quantum circuits with different geometries

math-ph · 2026-07-02 · unverdicted · novelty 7.0

Classification of open-boundary integrable Yang-Baxter quantum circuits with arbitrary geometries via staggered inhomogeneities, a conjecture on time-periodic integrability, and introduction of ρ-inhomogeneities enabling minimum depth four.

Free fermions in disguise without exponential degeneracies

cond-mat.stat-mech · 2026-06-08 · unverdicted · novelty 6.0

A perturbation of two Ising chains (or interpolation between Jordan-Wigner and Fendley FFD models) yields an FFD-solvable spin chain without exponential degeneracies for generic couplings.

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