5 papers · 1 filter
Apparent Universal Behavior in Second Moments of Random Quantum Circuits
Daniel Belkin, James Allen, Bryan K. Clark
Just how fast does the brickwork circuit form an approximate 2-design? Is there any difference between anticoncentration and being a 2-design? Does geometry matter? How deep a circ…
Simulating Neutral Atom Quantum Systems with Tensor Network States
James Allen, Matthew Otten, Stephen Gray +1
In this paper, we describe a tensor network simulation of a neutral atom quantum system under the presence of noise, while introducing a new purity-preserving truncation technique…
Absence of censoring inequalities in random quantum circuits
Daniel Belkin, James Allen, Bryan K. Clark
Ref. 1 asked whether deleting gates from a random quantum circuit architecture can ever make the architecture a better approximate -design. We show that it can. In particular, w…
Conditional t-independent spectral gap for random quantum circuits and implications for t-design depths
James Allen, Daniel Belkin, Bryan K. Clark
A fundamental question is understanding the rate at which random quantum circuits converge to the Haar measure. One quantity which is important in establishing this rate is the spe…
Approximate t-designs in generic circuit architectures
Daniel Belkin, James Allen, Soumik Ghosh +6
Unitary t-designs are distributions on the unitary group whose first t moments appear maximally random. Previous work has established several upper bounds on the depths at which ce…