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

被引：63

作者：

Sierant, Piotr ^{[1
]}

Schiro, Marco ^{[2
]}

Lewenstein, Maciej ^{[1
,3
]}

Turkeshi, Xhek ^{[2
]}

机构：

[1] Barcelona Inst Sci & Technol, ICFO Inst Ciencies Foton, Av Carl Friedrich Gauss 3, Castelldefels 08860, Barcelona, Spain

[2] PSL Res Univ, Coll France, USR 3573 CNRS, JEIP, 11 Pl Marcelin Berthelot, F-75321 Paris 05, France

[3] ICREA, Passeig Lluis Co 23, Barcelona 08010, Spain

来源：

PHYSICAL REVIEW B | 2022年 / 106卷 / 21期

基金：

欧盟地平线“2020”;

关键词：

QUANTUM JUMPS; POTTS-MODEL; ENTANGLEMENT; STATE; PERCOLATION; EXPANSION;

D O I：

10.1103/PhysRevB.106.214316

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The interplay between unitary dynamics and local quantum measurements results in unconventional nonunitary 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 has critical properties close to the percolation transition in (d + 1) spatial dimensions.

引用

页数：20

共 137 条

[1] Improved simulation of stabilizer circuits [J].