Boundary time crystals emerge from non-reciprocal operator transport in an irreducible tensor representation of the Liouvillian, unifying collective precession, relaxation, and BTC phases via delocalized eigenmodes.
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quant-ph 2years
2026 2representative citing papers
A Pauli-transfer-matrix analysis of QELMs reveals the full set of nonlinear Pauli features generated by encoding and transformed by quantum channels, producing an interpretable classical nonlinear vector autoregression model that approximates flow maps in dynamical systems.
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Operator Space Transport and the Emergence of Boundary Time Crystals
Boundary time crystals emerge from non-reciprocal operator transport in an irreducible tensor representation of the Liouvillian, unifying collective precession, relaxation, and BTC phases via delocalized eigenmodes.
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Theory and interpretability of Quantum Extreme Learning Machines: a Pauli-transfer matrix approach
A Pauli-transfer-matrix analysis of QELMs reveals the full set of nonlinear Pauli features generated by encoding and transformed by quantum channels, producing an interpretable classical nonlinear vector autoregression model that approximates flow maps in dynamical systems.