1 h 3 min
Random unitary circuits with constant spectral gap
Quantum Physics, Mathematics and seminar by Jeongwan Haah, Stanford University
Tuesday 10:20 Los Angeles (GMT-7)
Recording available
Berkeley, United States
Recording
Abstract
The Knabe method provides lower bounds on spectral gaps. This talk reviews the technique and applies it to random unitary circuits arranged in a one-dimensional brickwork pattern. For qubits, the resulting estimate is optimal up to a constant factor.
Topics
Knabe methodlower boundsspectral gapsrandom unitary circuitsone-dimensional brickwork patternqubitsunitary circuits