Rehab Shather Abdul Hamza

Low Homotopy and Noise-Stable Choi-Band Topology of Fixed-Kraus-Rank Quantum Channels

We determine a strict-interior low-homotopy window for finite-dimensional exact-Kraus-rank CPTP channel manifolds, treat feasibility and boundary branches, identify low-stage Choi-support Chern invariants, construct a trace-preserving qubit S4 Yang-monopole channel with |c2|=1, a...

Recognition, Rigidity, and Dimension from Directed Quantum Distinguishability

This record contains the manuscript, unified Supplemental Material, source files, author-generated analysis code, derived numerical products, figures, and provenance material supporting *Recognition, Rigidity, and Dimension from Directed Quantum Distinguishability*. For faithful...

Operator-Growth Obstruction to Annealed Hilbert-Schmidt Mixing in Dissipative SYK

We prove an annealed Hilbert-Schmidt mixing obstruction in Gaussian dissipative q=4 Sachdev-Ye-Kitaev dynamics. Exact finite-N parity-size conjugacy and a frame-integrated-size identity are combined with a nonperturbative Rademacher-SYK operator-growth theorem and a fourth-order...