Schur-complement truncations of HEOM for finite-dimensional systems converge spectrally to the full equations and are free of spectral pollution when the exact HEOM is stable.
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Proves intractability of DQPT estimation on quantum computers but equivalence of subsystem DQPT decision to quantum circuit simulation, with quadratic speedup for critical time search.
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On truncations of hierarchical equations of motion for finite-dimensional systems
Schur-complement truncations of HEOM for finite-dimensional systems converge spectrally to the full equations and are free of spectral pollution when the exact HEOM is stable.
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Provable Quantum Advantage for Dynamical Phase Transition
Proves intractability of DQPT estimation on quantum computers but equivalence of subsystem DQPT decision to quantum circuit simulation, with quadratic speedup for critical time search.