The reduced transition matrix in chaotic dual-unitary quantum circuits has low-rank structure with entropy growing at most logarithmically in time, enabling efficient approximation for local expectation values.
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2026 2verdicts
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Surface code logical qubits in continuous baths have a true thermodynamic error threshold only for short-range interactions, as their decoherence maps exactly to the anisotropic Kondo model.
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Low Rank Structure of the Reduced Transition Matrix
The reduced transition matrix in chaotic dual-unitary quantum circuits has low-rank structure with entropy growing at most logarithmically in time, enabling efficient approximation for local expectation values.
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Quantum Decoherence of the Surface Code: A Generalized Caldeira-Leggett Approach
Surface code logical qubits in continuous baths have a true thermodynamic error threshold only for short-range interactions, as their decoherence maps exactly to the anisotropic Kondo model.