3 citations · 10 across the 19 of their papers we have counts for
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Spectral anomalies and broken symmetries in maximally chaotic quantum maps
Laura Shou, Amit Vikram, Victor Galitski
Spectral statistics such as the level spacing statistics and spectral form factor (SFF) are widely expected to accurately identify ``ergodicity'', including the presence of underly…
A localization-delocalization transition for nonhomogeneous random matrices
Laura Shou, Ramon van Handel
We consider self-adjoint Gaussian random matrices defined by an arbitrary deterministic sparsity pattern with nonzero entries per row. We show that such random matr…
Chaotic Roots of the Modular Multiplication Dynamical System in Shor's Algorithm
Abu Musa Patoary, Amit Vikram, Laura Shou +1
Shor's factoring algorithm, believed to provide an exponential speedup over classical computation, relies on finding the period of an exactly periodic quantum modular multiplicatio…
Eigenstates and spectral projection for quantized baker's map
Laura Shou
We extend the approach from [arXiv:2110.15301] to prove windowed spectral projection estimates and a generalized Weyl law for the (Weyl) quantized baker's map on the torus. The spe…