Measurement-induced phase transitions in $(d+1)$-dimensional stabilizer circuits

• URL: http://arxiv.org/abs/2210.11957v1
• Date: Fri, 21 Oct 2022 13:32:02 GMT
• Title: Measurement-induced phase transitions in $(d+1)$-dimensional stabilizer circuits
• Authors: Piotr Sierant, Marco Schir\`o, Maciej Lewenstein, Xhek Turkeshi
• Abstract summary: We characterize the measurement-induced phases and their transitions using numerical simulations focusing on entanglement measures, purification dynamics, and structure structure. Our findings demonstrate measurement-induced transition in large $(d+1)$temporal dimensions is conformal and close to percolation transition in $(d+1)$ spatial dimensions.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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