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Measurement-induced phase transitions in $(d+1)$-dimensional stabilizer circuits (2210.11957v1)
Published 21 Oct 2022 in cond-mat.stat-mech, cond-mat.dis-nn, cond-mat.str-el, and quant-ph
Abstract: The interplay between unitary dynamics and local quantum measurements results in unconventional non-unitary dynamical phases and transitions. In this paper we investigate the dynamics of $(d+1)$-dimensional hybrid stabilizer circuits, for $d=1,2,3$. We characterize the measurement-induced phases and their transitions using large-scale numerical simulations focusing on entanglement measures, purification dynamics, and wave-function structure. Our findings demonstrate the measurement-induced transition in $(d+1)$ spatiotemporal dimensions is conformal and close to the percolation transition in $(d+1)$ spatial dimensions.