Author

S. M. Manjegani

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Preprint Sep 2026

Local Determinant Defects and Low-Energy Subspace Stability in Semifinite von Neumann Algebras

We give a finite-temperature test for the stability of low-energy spectral subspaces. The test uses a local determinant defect for the alpha-z Renyi kernel of two Gibbs states and bounds the tracial L2 distance between their low-energy projections. The main tool is a spectral-flattening principle for bounded positive i...

S. M. Manjegani · 0 citations

Preprint Sep 2026

Trace-Norm Overlaps of Quantum States: Interpolation, Equality, and Data-Processing Rigidity

Let $\rho$ and $\sigma$ be density operators on a separable Hilbert space. For $0<\alpha<1$, we study the directed trace-norm overlap $\Phi_\alpha(\rho,\sigma)=\|\rho^\alpha\sigma^{1-\alpha}\|_1$ and its symmetrized form $\mathcal F_\alpha(\rho,\sigma)=\frac12\bigl(\Phi_\alpha(\rho,\sigma)+\Phi_{1-\alpha}(\rho,\sigma)\...

Zahra Maleki Khouzani, S. M. Manjegani · 0 citations