论文标题

测量引起的相变为$(D+1)$ - 尺寸稳定器电路

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

论文作者

Sierant, Piotr, Schirò, Marco, Lewenstein, Maciej, Turkeshi, Xhek

论文摘要

统一动力学和局部量子测量之间的相互作用导致非常规的非单身动力学阶段和过渡。在本文中,我们调查了$(D+1)$ - 尺寸混合稳定器电路的动态,$ d = 1,2,3 $。我们使用着针对纠缠措施,纯化动力学和波功能结构的大规模数值模拟来表征测量诱导的相及其过渡。我们的发现表明,$(d+1)$时空维度在$(D+1)$空间尺寸中的渗透过渡近来呈$(d+1)中的测量引起的过渡。

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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