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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

Variational quantum algorithms (VQAs), which classically optimize a parametrized quantum circuit to solve a computational task, promise to advance our understanding of quantum many-body systems and improve machine learning algorithms using…

Quantum Physics · Physics 2023-06-09 Roeland Wiersema , Cunlu Zhou , Juan Felipe Carrasquilla , Yong Baek Kim

Random quantum circuit is a minimally structured model to study the entanglement dynamics of many-body quantum systems. In this paper, we considered a one-dimensional quantum circuit with noisy Haar-random unitary gates using density matrix…

Quantum Physics · Physics 2022-05-16 Qi Zhang , Guang-Ming Zhang

"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

Quantum measurement has conventionally been regarded as the final step in quantum information processing, which is essential for reading out the processed information but collapses the quantum state into a classical state. However, recent…

Quantum Physics · Physics 2024-02-02 Dongjin Lee , Beni Yoshida

The surface code, one of the leading candidates for quantum error correction, is known to protect encoded quantum information against stochastic, i.e., incoherent errors. The protection against coherent errors, such as from unwanted gate…

Quantum Physics · Physics 2025-10-28 Jan Behrends , Benjamin Béri

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

We study the effect of local projective measurements on the quantum quench dynamics. As a concrete example, a one-dimensional Bose-Hubbard model is simulated by the matrix product state and time-evolving block decimation. We map out a…

Statistical Mechanics · Physics 2020-01-14 Qicheng Tang , W. Zhu

We study measurement-induced phase transitions in quantum circuits consisting of kicked Ising models with postselected weak measurements, whose dynamics can be mapped onto a classical dynamical system. For a periodic (Floquet) non-unitary…

Quantum Physics · Physics 2025-07-08 Bastien Lapierre , Liang-Hong Mo , Shinsei Ryu

The presence of quantum noises inherent to real physical systems can strongly impact the physics in hybrid quantum circuits with local random unitaries and mid-circuit measurements. The quantum noises with a size-independent occurring…

Quantum Physics · Physics 2024-09-04 Shuo Liu , Ming-Rui Li , Shi-Xin Zhang , Shao-Kai Jian , Hong Yao

Repeated local measurements typically have adversarial effects on entangling unitary dynamics, as local measurements usually degrade entanglement. However, recent works on measurement-only dynamics have shown that strongly entangled states…

Quantum Physics · Physics 2026-04-17 Surajit Bera , Igor V. Gornyi , Sumilan Banerjee , Yuval Gefen

We show that weak measurements can induce a quantum phase transition of interacting many-body systems from an ergodic thermal phase with a large entropy to a nonergodic localized phase with a small entropy, but only if the measurement…

Statistical Mechanics · Physics 2019-09-04 Marcin Szyniszewski , Alessandro Romito , Henning Schomerus

Quantum phase transitions occur at zero temperature and involve the appearance of long-range correlations. These correlations are not due to thermal fluctuations but to the intricate structure of a strongly entangled ground state of the…

Quantum Physics · Physics 2008-11-26 G. Vidal , J. I. Latorre , E. Rico , A. Kitaev

The competition between non-commuting projective measurements in discrete quantum circuits can give rise to entanglement transitions. It separates a regime where initially stored quantum information survives the time evolution from a regime…

Quantum Physics · Physics 2023-06-21 Felix Roser , Hans Peter Büchler , Nicolai Lang

Local measurements in quantum systems are projective operations which act to counteract the spread of quantum entanglement. Recent work has shown that local, random measurements applied to a generic volume-law entanglement generating…

Statistical Mechanics · Physics 2022-07-14 Josef Willsher , Shu-Wei Liu , Roderich Moessner , Johannes Knolle

Monitored quantum dynamics reveal quantum state trajectories which exhibit a rich phenomenology of entanglement structures, including a transition from a weakly-monitored volume law entangled phase to a strongly-monitored area law phase.…

Statistical Mechanics · Physics 2023-03-28 Yaodong Li , Sagar Vijay , Matthew P. A. Fisher

The evolution of a quantum system subject to measurements can be described by stochastic quantum trajectories of pure states. Instead, the ensemble average over trajectories is a mixed state evolving via a master equation. Both descriptions…

Quantum Physics · Physics 2024-02-22 Christian Carisch , Alessandro Romito , Oded Zilberberg

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…

The development and spread of entanglement in complex quantum systems is central to exploring many-body phenomena out of equilibrium. Measuring entanglement dynamics can shed light on information scrambling and thermalisation, namely on…

The competition between scrambling unitary evolution and projective measurements leads to a phase transition in the dynamics of quantum entanglement. Here, we demonstrate that the nature of this transition is fundamentally altered by the…

Quantum Physics · Physics 2022-03-25 Maxwell Block , Yimu Bao , Soonwon Choi , Ehud Altman , Norman Yao