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The Pauli Probability Spectrum Carries the Pure-State Quantum Fisher Metric
E. A. Ramirez Trino, M. A. Rajabpour
How a quantum state responds to small parameter changes is central to quantum criticality, state distinguishability, and metrological sensitivity. Pauli-string statistics provide a…
Quantized Stabilizer-Rényi Boundary Response across Fermionic SPT Transitions
M. A. Rajabpour
Open boundaries host symmetry-protected Majorana modes, yet their imprint on the stabilizer Rényi entropy is obscured by a nonuniversal volume law. At Rényi index , we isola…
Fugacity-Resolved Stabilizer Entropy in Critical Quantum Chains: Discrete Selberg Sums and Exactly Solvable Rényi Indices
Reyhaneh Khasseh, M. A. Rajabpour
Stabilizer Rényi entropy quantifies the nonstabilizerness of a quantum state through Rényi moments of its Pauli expectation-value distribution. Its standard form sums over Pauli-st…
Universal Crossovers of Stabilizer Entropy Beyond Criticality
Reyhaneh Khasseh, E. A. Ramirez Trino, M. A. Rajabpour
Stabilizer Rényi entropy has emerged as a probe of nonstabilizerness in quantum many-body systems, but its scaling structure beyond critical points remains poorly understood compar…
Hidden Conformal Boundary Data in Finite-Temperature Stabilizer Entropy
Reyhaneh Khasseh, M. A. Rajabpour
We study the finite-temperature stabilizer Rényi entropy of the open critical quantum spin chains. At Rényi index one half, this observable probes the distribution of thermal Pauli…
Equivalence of Stabilizer and Shannon Rényi Entropies: Exact Results for Quantum Critical Chains
E. A. Ramirez Trino, M. A. Rajabpour
Shannon-Rényi and stabilizer entropies are key diagnostics of structure, ``nonstabilizerness,'' phase transitions, and universality in quantum many-body states. We establish an exa…