[Colloquium] Reminder - Soumik Ghosh MS Presentation/Nov 16, 2023

[Megan Woodward]

This is an announcement of Soumik Ghosh's MS Presentation
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Candidate: Soumik Ghosh

Date: Thursday, November 16, 2023

Time:  2 pm CST

Location: JCL 390

Remote Location: https://uchicago.zoom.us/j/95139547423?pwd=MzdaNUVFb1cxeWZjekwyRWVvNHFKQT09

M.S. Paper Title: Effect of non-unital noise on random circuit sampling

Abstract: In this work, drawing inspiration from the type of noise present in real hardware, we study the output distribution of random quantum circuits under practical non-unital noise sources with constant noise rates. We show that even in the presence of unital sources like the depolarizing channel, the distribution, under the combined noise channel, never resembles a maximally entropic distribution at any depth. To show this, we prove that the output distribution of such circuits never anticoncentrates — meaning it is never too "flat" — regardless of the depth of the circuit. This is in stark contrast to the behavior of noiseless random quantum circuits or those with only unital noise, both of which anticoncentrate at sufficiently large depths. As consequences, our results have interesting algorithmic implications on both the hardness and easiness of noisy random circuit sampling, since anticoncentration is a critical property exploited by both state-of-the-art classical hardness and easiness results.

Advisors: Bill Fefferman

Committee Members: Bill Fefferman, Fred Chong, and Liang Jiang
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