Symmetry classification of measurement-inclusive fermionic dynamics with equivalence between many-body and single-particle schemes, plus post-selection-free adaptive circuits for topological states in four classes.
Designing open quan- tum systems with known steady states: Davies genera- tors and beyond
3 Pith papers cite this work. Polarity classification is still indexing.
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For any diagonalisable non-Hermitian H with real spectrum, the biorthogonal Gibbs functional satisfies positivity of ω_bi(A†A) for all A if and only if H is quasi-Hermitian.
Decohered non-Abelian Kitaev quantum double states exhibit strong-to-weak spontaneous symmetry breaking of non-invertible higher-form symmetries and form an information convex set whose dimension equals the pure-state ground-state degeneracy.
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Kubo-Martin-Schwinger conditions for non-Hermitian systems
For any diagonalisable non-Hermitian H with real spectrum, the biorthogonal Gibbs functional satisfies positivity of ω_bi(A†A) for all A if and only if H is quasi-Hermitian.