Random unitary circuits with constant spectral gap

Jeongwan Haah (Stanford University) https://simons.berkeley.edu/talks/jeongwan-haah-stanford-university-2026-09-22 Local to Global Principles I will review the Knabe method for spectral gap lower bounds and show its application to random unitary circuits. This leads to the optimal (up to a constant) estimate of the spectral gap of the 1d brickwork unitary random circuit over qubits. Based on the joint work with Tim Baer.