4 papers · 1 filter
Quantum random walks on d-regular graphs with Haar-random coin operators
Alice C. Quillen
With unitary coin operator that is a random matrix drawn from a uniform distribution with respect to the Haar measure, we construct a variant of a discrete quantum random walk usin…
Generating pseudo-random unitaries with a Floquet driven chaotic quantum system
Alice C. Quillen, Abobakar Sediq Miakhel
We explore using an ergodic Floquet quantum system on a torus to generate pseudo-random unitary operators. We choose a regime of the perturbed Harper model with strong perturbation…
Notions of Adiabatic Drift in the Quantized Harper model
Alice C. Quillen, Nathan Skerrett, Damian R. Sowinski +1
We study a quantized, discrete and drifting version of the Harper Hamiltonian, also called the finite almost Mathieu operator, which resembles the pendulum Hamiltonian but in phase…
Quantum chaos on the separatrix of the periodically perturbed Harper model
Alice C. Quillen, Abobakar Sediq Miakhel
We explore the relation between a classical periodic Hamiltonian system and an associated discrete quantum system on a torus in phase space. The model is a sinusoidally perturbed H…