Measurement-induced criticality in (2+1)-dimensional hybrid quantum circuits

Xhek Turkeshi; Rosario Fazio; Marcello Dalmonte

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Measurement-induced criticality in (2+1)-dimensional hybrid quantum circuits

机译：（2 + 1） - 二维混合量子电路中的测量诱导的临界性

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We investigate the dynamics of two-dimensional quantum spin systems under the combined effect of random unitary gates and local projective measurements. When considering steady states, a measurement-induced transition occurs between two distinct dynamical phases, one characterized by a volume-law scaling of entanglement entropy, the other by an area law. Employing stabilizer states and Clifford random unitary gates, we numerically investigate square lattices of linear dimension up to L = 48 for two distinct measurement protocols. For both protocols, we observe a transition point where the dominant contribution in the entanglement entropy displays multiplicative logarithmic violations to the area law. We obtain estimates of the correlation length critical exponent at the percent level; these estimates suggest universal behavior and are incompatible with the universality class of 3D percolation.

机译：我们在随机酉门和局部投影测量的综合作用下调查二维量子旋转系统的动态。当考虑稳定状态时，在两个不同的动态相之间发生测量诱导的过渡，其特征在于缠结熵的体积法缩放，另一个面积法。采用稳定器状态和克利福德随机单一门，我们对两个不同的测量方案进行数值研究直线尺寸的线性尺寸的方形晶格。对于这两种协议，我们观察到纠缠熵的主导贡献显示到区域法的主导贡献显示了乘法对数违规。我们获得百分比级别的相关长度临界指数的估计;这些估计表明了普遍行为，与3D渗透的普遍性类别不相容。

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《Physical review》 |2020年第1期|014315.1-014315.9|共9页
作者
Xhek Turkeshi; Rosario Fazio; Marcello Dalmonte;
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The Abdus Salam International Centre for Theoretical Physics strada Costiera 11 34151 Trieste Italy SISSA via Bonomea 265 34136 Trieste Italy INFN via Bonomea 265 34136 Trieste Italy;

The Abdus Salam International Centre for Theoretical Physics strada Costiera 11 34151 Trieste Italy Dipartimento di Fisica Universita di Napoli Federico Ⅱ Monte S. Angelo I-80126 Napoli Italy;

The Abdus Salam International Centre for Theoretical Physics strada Costiera 11 34151 Trieste Italy SISSA via Bonomea 265 34136 Trieste Italy;

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1. Measurement-induced criticality in (2+1)-dimensional hybrid quantum circuits [J] . Turkeshi Xhek, Fazio Rosario, Dalmonte Marcello Physical review, B . 2020,第1期

机译：（2 + 1） - 二维混合量子电路中的测量诱导的临界性
2. Measurement-induced criticality in random quantum circuits [J] . Chao-Ming Jian, Yi-Zhuang You, Romain Vasseur, Physical review . 2020,第10期

机译：随机量子电路中测量引起的临界
3. Critical properties of the measurement-induced transition in random quantum circuits [J] . Aidan Zabalo, Michael J. Gullans, Justin H. Wilson, Physical review . 2020,第6期

机译：随机量子电路中测量引起的跃迁的临界特性
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机译：在（2 + 1）尺寸（2 + 1）尺寸中的量子变形
5. The scaling behavior of the entanglement entropy in 2+1 dimensional critical systems. [D] . Hsu, Benjamin. 2011

机译：纠缠熵在2 + 1维临界系统中的缩放行为。
6. Training of quantum circuits on a hybrid quantum computer [O] . D. Zhu, N. M. Linke, M. Benedetti, 2019

机译：在混合量子计算机上训练量子电路
7. A Line of Critical Points in 2+1 Dimensions: Quantum Critical Loop Gases and Non-Abelian Gauge Theory [O] . Freedman, Michael, Nayak, Chetan, Shtengel, Kirill 2004

机译：2 + 1维中的临界点线：量子临界环路气体和非阿贝尔规范理论
8. Causal approach to (2+1)-dimensional Quantum Electrodynamics [R] . Scharf, G. , Wreszinski, W. F. , Pimentel, B. M. , 1993

机译：（2 + 1）维量子电动力学的因果方法

Measurement-induced criticality in (2+1)-dimensional hybrid quantum circuits

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