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quant-ph2026

Stabilizer Statistical Mechanics: A Framework for Efficient Quantification and Classification of Magic States

William E. Salazar, Gaurav Saxena, Jack S. Baker +2

The partition function is statistical mechanics' answer to an exponentially large spectrum, distilling it into a single analytic object whose temperature dependence resolves the fu…

quant-ph2026

Linear-nonlinear duality for circuit design on quantum computing platforms

William E. Salazar, Omar Calderón-Losada, John H. Reina

Beam splitters (BSs) and optical parametric amplifiers (OPAs) can be described using Lie groups and . Here, we show that the dynamical trajectories of these device…

quant-ph2025

Lévy Sachdev-Ye-Kitaev Model

Budhaditya Bhattacharjee, William E. Salazar, Dario Rosa +1

We explore the spectral properties of the -fermion Sachdev-Ye-Kitaev model with interaction sourced from a Lévy Stable (fat-tailed) distribution. Lévy random matrices are know…

quant-ph2025

Quantum Resilience: Canadian Innovations in Quantum Error Correction and Quantum Error Mitigation

Gaurav Saxena, Jack S. Baker, Pablo Díez Valle +3

In celebration of the 2025 International Year of Quantum Science and Technology, this article highlights the pioneering achievements and ongoing innovations in quantum error correc…

quant-ph2025

On a Matrix Ensemble for Arbitrary Complex Quantum Systems

William E. Salazar, Juan Diego Urbina, Javier Madroñero

We present a comprehensive analytical study of a variation of the eigenvector ensemble initially proposed by Deutsch for the foundations of the Eigenstate Thermalization Hypothesis…