For finite nilpotent group symmetries, symmetric measurements and feedforward collapse all SPT and non-normal MPS phases into one asymptotically equivalent phase.
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Mixed-state topology in non-Hermitian systems is characterized via the Uhlmann connection, yielding a thermal Uhlmann-Chern number that differs from pure-state topology and extends to higher-dimensional Abelian and non-Abelian cases.
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Phases of matrix-product states with symmetries and measurements: Finite nilpotent groups
For finite nilpotent group symmetries, symmetric measurements and feedforward collapse all SPT and non-normal MPS phases into one asymptotically equivalent phase.
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Mixed-State Topology in Non-Hermitian Systems
Mixed-state topology in non-Hermitian systems is characterized via the Uhlmann connection, yielding a thermal Uhlmann-Chern number that differs from pure-state topology and extends to higher-dimensional Abelian and non-Abelian cases.