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Characterizing and quantifying quantum correlations in states of many-particle systems is at the core of a full understanding of phase transitions in matter. In this work, we continue our investigation of the notion of generalized…

Quantum Physics · Physics 2009-11-10 Rolando Somma , Gerardo Ortiz , Howard Barnum , Emanuel Knill , Lorenza Viola

Quantum circuits consisting of random unitary gates and subject to local measurements have been shown to undergo a phase transition, tuned by the rate of measurement, from a state with volume-law entanglement to an area-law state. From a…

Statistical Mechanics · Physics 2021-10-26 Yimu Bao , Soonwon Choi , Ehud Altman

We investigate the joint (separable) numerical range of multiple measurements, i.e., the regions of expectation values accessible with (separable) quantum states for given observables. This not only enables efficient entanglement detection,…

Quantum Physics · Physics 2021-11-03 Timo Simnacher , Jakub Czartowski , Konrad Szymański , Karol Życzkowski

We investigate entanglement and quantum phase transition (QPT) in a two-dimensional Heisenberg anisotropic spin-1/2 XY model, using quantum renormalization group method (QRG) on a square lattice of $N\times N$ sites. The entanglement…

Quantum Physics · Physics 2017-08-16 M. Usman , Asif Ilyas , Khalid Khan

We compute the entanglement dynamics across a monitored quantum point contact, where particle losses are recorded on a given site, and demonstrate how this single-site local monitoring substantially reshapes the entanglement production.…

Mesoscale and Nanoscale Physics · Physics 2026-05-22 Anna Delmonte , Marco Schirò

Characterizing universal entanglement features in higher-dimensional quantum matter is a central goal of quantum information science and condensed matter physics. While the subleading corner terms in two-dimensional quantum systems…

Strongly Correlated Electrons · Physics 2025-12-30 Chang-Yu Shen , Shuai Yin , Zi-Xiang Li

In the field of monitored quantum circuits, it has remained an open question whether finite-time protocols for preparing long-range entangled states lead to phases of matter which are stable to gate imperfections, which can convert…

Quantum Physics · Physics 2023-11-22 Guo-Yi Zhu , Nathanan Tantivasadakarn , Ashvin Vishwanath , Simon Trebst , Ruben Verresen

We demonstrate that conventional artificial deep neural networks operating near the phase boundary of the signal propagation dynamics, also known as the edge of chaos, exhibit universal scaling laws of absorbing phase transitions in…

Machine Learning · Statistics 2025-07-21 Keiichi Tamai , Tsuyoshi Okubo , Truong Vinh Truong Duy , Naotake Natori , Synge Todo

Efficiently detecting entanglement based on measurable quantities is a basic problem for quantum information processing. Recently, the measurable quantities called partial-transpose (PT)-moments have been proposed to detect and characterize…

Quantum Physics · Physics 2023-07-12 Lin Zhang , Yi Shen , Hua Xiang , Quan Qian , Bo Li

The evolution of non-interacting bosons in the presence of repeated projective measurements is studied. Following the established approach, this monitored evolution is characterized by the first detected return and the first detected…

Quantum Physics · Physics 2024-08-09 Quancheng Liu , Klaus Ziegler

We develop solvable models of large-$N$ hybrid quantum circuits on qubits and fermions with long-range power-law interactions and continuous local monitoring, which provide analytical access to the entanglement phase diagram and…

Quantum Physics · Physics 2022-12-12 Subhayan Sahu , Shao-Kai Jian , Gregory Bentsen , Brian Swingle

Entanglement phase transitions in hybrid quantum circuits describe individual quantum trajectories rather than the measurement-averaged ensemble, despite the fact that results of measurements are not conventionally used for feedback. Here,…

Quantum Physics · Physics 2023-04-24 Michael Kolodrubetz

Many-body unitary dynamics interspersed with repeated measurements display a rich phenomenology hallmarked by measurement-induced phase transitions. Employing feedback-control operations that steer the dynamics toward an absorbing state, we…

Statistical Mechanics · Physics 2023-03-30 Piotr Sierant , Xhek Turkeshi

We investigate a spatial random graph model whose vertices are given as a marked Poisson process on $\mathbb{R}^d$. Edges are inserted between any pair of points independently with probability depending on the spatial displacement of the…

Probability · Mathematics 2025-03-25 Matthew Dickson , Markus Heydenreich

We explore the flow of quantum correlations in cluster states defined on ladder type graphs as measurements are done on qubits located on the nodes of the cluster. We focus on three qubits at the end of the ladder and compute the…

Quantum Physics · Physics 2025-01-13 Chandan Mahto , Anil Shaji

The interplay of unitary evolution and projective measurements is a modern interest in the study of many-body entanglement. On the one hand, the competition between these two processes leads to the recently discovered measurement-induced…

Quantum Physics · Physics 2025-02-05 Cole Kelson-Packer , Akimasa Miyake

Quantum logic gates must perform properly when operating on their standard input basis states, as well as when operating on complex superpositions of these states. Experiments using superconducting qubits have validated the truth table for…

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…

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 analyze the quantum trajectory dynamics of free fermions subject to continuous monitoring. For weak monitoring, we identify a novel dynamical regime of subextensive entanglement growth, reminiscent of a critical phase with an emergent…

Statistical Mechanics · Physics 2021-07-06 Ori Alberton , Michael Buchhold , Sebastian Diehl
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