6 papers
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…
Solving Lévy Sachdev-Ye-Kitaev Model
Budhaditya Bhattacharjee, William. E. Salazar, Alexei Andreanov +1
We present an exact solution in the large- limit of the Lévy Sachdev-Ye-Kitaev (LSYK) model introduced in Ref. [1], wherein the couplings are drawn from a Lévy Stable distribu…
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…
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…
Quantum Resilience: Canadian Innovations in Quantum Error Correction and Quantum Error Mitigation
Gaurav Saxena, Jack S. Baker, Pablo DÃez 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…
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…