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arXiv · 2210.11957

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

Piotr Sierant·Marco Schirò·Maciej Lewenstein·Xhek Turkeshi
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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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BibTeXRIS

Piotr Sierant, Marco Schirò, Maciej Lewenstein, Xhek Turkeshi. 2022-10-21. Measurement-induced phase transitions in $(d+1)$-dimensional stabilizer circuits. https://doi.org/10.1103/physrevb.106.214316

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