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"Forgetful" measurements-physically similar to dephasing-are of interest both for applications to fault-tolerant quantum computing and fundamentally, in studying how entanglement and entropy spread. This paper investigates…

Quantum Physics · Physics 2025-12-01 Yucheng He , Todd A. Brun

We consider a model of monitored quantum dynamics with quenched spatial randomness: specifically, random quantum circuits with spatially varying measurement rates. These circuits undergo a measurement-induced phase transition (MIPT) in…

Disordered Systems and Neural Networks · Physics 2023-11-10 Aidan Zabalo , Justin H. Wilson , Michael J. Gullans , Romain Vasseur , Sarang Gopalakrishnan , David A. Huse , J. H. Pixley

Information-theoretic phase transitions, such as the measurement-induced phase transition (MIPT), characterize the robustness of quantum dynamics to local monitoring and are naturally formulated in terms of trajectories conditioned on…

The linear cross-entropy (LXE) has been recently proposed as a scalable probe of the measurement-driven phase transition between volume- and area-law-entangled phases of pure-state trajectories in certain monitored quantum circuits. Here,…

Quantum Physics · Physics 2023-08-15 Maria Tikhanovskaya , Ali Lavasani , Matthew P. A. Fisher , Sagar Vijay

We propose that the quantum conditional mutual information (QCMI), computed with a suitably chosen partition of the system, serves as a powerful probe for detecting measurement-induced entanglement phase transitions in monitored quantum…

Quantum Physics · Physics 2025-12-30 Yuichi Otsuka , Kazuhiro Seki , Seiji Yunoki

We study one-dimensional hybrid quantum circuits perturbed by quenched quasiperiodic (QP) modulations across the measurement-induced phase transition (MIPT). Considering non-Pisot QP structures, characterized by unbounded fluctuations,…

Disordered Systems and Neural Networks · Physics 2024-06-26 Gal Shkolnik , Aidan Zabalo , Romain Vasseur , David A. Huse , J. H. Pixley , Snir Gazit

Monitored many-body systems can exhibit a phase transition between entangling and disentangling dynamical phases by tuning the strength of measurements made on the system as it evolves. This phenomenon is called the measurement-induced…

Quantum Physics · Physics 2025-02-05 Xiaozhou Feng , Jeremy Côté , Stefanos Kourtis , Brian Skinner

Random measurements have been shown to induce a phase transition in an extended quantum system evolving under chaotic unitary dynamics, when the strength of measurements exceeds a threshold value. Below this threshold, a steady state with a…

Statistical Mechanics · Physics 2021-06-02 Ruihua Fan , Sagar Vijay , Ashvin Vishwanath , Yi-Zhuang You

Unitary circuits subject to repeated projective measurements can undergo an entanglement phase transition (EPT) as a function of the measurement rate. This transition is generally understood in terms of a competition between the scrambling…

In this paper, we construct 2-dimensional bipartite cluster states and perform single-qubit measurements on the bulk qubits. We explore the entanglement scaling of the unmeasured 1-dimensional boundary state and show that under certain…

Quantum Physics · Physics 2025-01-29 Hanchen Liu , Vikram Ravindranath , Xiao Chen

Quantum systems subject to random unitary evolution and measurements at random points in spacetime exhibit entanglement phase transitions which depend on the frequency of these measurements. Past work has experimentally observed…

Repeated local measurements of quantum many body systems can induce a phase transition in their entanglement structure. These measurement-induced phase transitions (MIPTs) have been studied for various types of dynamics, yet most cases…

Disordered Systems and Neural Networks · Physics 2022-02-14 Aidan Zabalo , Michael J. Gullans , Justin H. Wilson , Romain Vasseur , Andreas W. W. Ludwig , Sarang Gopalakrishnan , David A. Huse , J. H. Pixley

The measurement-induced phase transition (MIPT) occurs when the system is evolving under unitary evolution together with local measurements followed by post-selection. We propose a generalized version of the Lindblad master equation as a…

Quantum Physics · Physics 2023-01-03 Yi-Neng Zhou

We study measurement-induced entanglement and control phase transitions in a quantum analog of the Bernoulli map subjected to a classically-inspired control protocol. When entangling gates are restricted to the Clifford group, separate…

Disordered Systems and Neural Networks · Physics 2023-09-12 Conner LeMaire , Andrew A. Allocca , J. H. Pixley , Thomas Iadecola , Justin H. Wilson

We present a quantum circuit model which emulates the interface growth of the classical raise-and-peel model. Our model consists of Clifford unitary gates interspersed with projective measurements, applied according to prescribed feedback…

Quantum Physics · Physics 2024-08-08 Eliot Heinrich , Xiao Chen

We conduct a numerical investigation of the dynamics of the central spin model in the presence of measurement processes. This model holds promise for experimental exploration due to its topology, which facilitates the natural distinction of…

Quantum Physics · Physics 2024-09-04 V. V. Belov , W. V. Pogosov

Recently discovered measurement-induced entanglement phase transitions in monitored quantum circuits provide a novel example of far-from-equilibrium quantum criticality. Here, we propose a highly efficient strategy for experimentally…

Quantum Physics · Physics 2023-07-24 Ali G. Moghaddam , Kim Pöyhönen , Teemu Ojanen

We define an ensemble of random Clifford quantum circuits whose output state undergoes an entanglement phase transition between two volume-law phases as a function of measurement rate. Our setup maps exactly the output state to the ground…

Disordered Systems and Neural Networks · Physics 2022-12-06 Jeremy Côté , Stefanos Kourtis

We investigate the distribution of entanglement entropy in hybrid quantum circuits consisting of random unitary gates and local measurements applied at a finite rate. We demonstrate that higher moments of the entanglement entropy…

Quantum Physics · Physics 2026-04-14 Jeonghyeok Park , Hyukjoon Kwon , Hyunseok Jeong

Measurement-induced phase transitions (MIPTs) in monitored quantum systems are typically diagnosed using entanglement-based measures. Here, we develop a complementary thermodynamic perspective based on the arrow of time (AoT), which arises…

Statistical Mechanics · Physics 2026-04-23 Nitay Hurvitz , Alon Kochol , Victor Fleurov , Eran Sela