2 papers
quant-ph2025
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…
quant-ph2024
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…