Imaginary pseudo entropy provides a measurable, reversible record of temporal orientation in quantum transitions via replica interferometry and decreases under quantum channels per Petz recovery.
de Sitter extremal surfaces, time contours, complexifications and pseudo-entropies,
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Short-time real-time pseudo entropy obeys S_A(t,0)=S_A(0)-it ⟨K_A(H−⟨H⟩)⟩ + O(t²), with imaginary response from symmetrized covariance of H and K_A.
Pseudo entropy distinguishes topological from trivial phases in the SSH model via sign of averaged excess entropy ΔS12 and tracks quench critical times with its imaginary part.
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Imaginary pseudo entropy encodes temporal orientation
Imaginary pseudo entropy provides a measurable, reversible record of temporal orientation in quantum transitions via replica interferometry and decreases under quantum channels per Petz recovery.