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In this paper we continue to explore "hybrid" quantum circuit models in one-dimension with both unitary and measurement gates, focussing on the entanglement properties of wavefunction trajectories at long times, in the steady state. We…

统计力学 · 物理学 2023-08-23 Yaodong Li , Xiao Chen , Matthew P. A. Fisher

We identify a phase transition between two kinds of volume-law entangled phases in non-local but few-body unitary dynamics with local projective measurements. In one phase, a finite fraction of the system belongs to a fully-entangled state,…

量子物理 · 物理学 2020-05-08 Sagar Vijay

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…

We analyze the dynamics of entanglement entropy in a generic quantum many-body open system from the perspective of quantum information and error corrections. We introduce a random unitary circuit model with intermittent projective…

量子物理 · 物理学 2020-07-17 Soonwon Choi , Yimu Bao , Xiao-Liang Qi , Ehud Altman

We investigate entanglement phase transitions from volume-law to area-law entanglement in a quantum many-body state under continuous position measurement on the basis of the quantum trajectory approach. We find the signatures of the…

统计力学 · 物理学 2021-02-15 Yohei Fuji , Yuto Ashida

We prepare two dimensional states generated by shallow circuits composed of (1) one layer of two-qubit CZ gate or (2) a few layers of two-qubit random Clifford gate. After measuring all of the bulk qubits, we study the entanglement…

量子物理 · 物理学 2022-11-08 Hanchen Liu , Tianci Zhou , Xiao Chen

We explore the dynamical phases of unitary Clifford circuits with variable-range interactions, coupled to a monitoring environment. We investigate two classes of models, distinguished by the action of the unitary gates, which either are…

量子物理 · 物理学 2022-06-08 Shraddha Sharma , Xhek Turkeshi , Rosario Fazio , Marcello Dalmonte

We study a class of (1+1)D symmetric random quantum circuits with two competing types of measurements in addition to random unitary dynamics. The circuit exhibits a rich phase diagram involving robust symmetry-protected topological (SPT),…

量子物理 · 物理学 2021-11-03 Ali Lavasani , Yahya Alavirad , Maissam Barkeshli

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.…

统计力学 · 物理学 2023-03-28 Yaodong Li , Sagar Vijay , Matthew P. A. Fisher

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…

统计力学 · 物理学 2023-03-30 Piotr Sierant , Xhek Turkeshi

Entanglement transitions in quantum dynamics present a novel class of phase transitions in non-equilibrium systems. When a many-body quantum system undergoes unitary evolution interspersed with monitored random measurements, the…

量子物理 · 物理学 2021-10-08 Oliver Lunt , Marcin Szyniszewski , Arijeet Pal

We study temporal entanglement in dual-unitary Clifford circuits with probabilistic measurements preserving spatial unitarity. We exactly characterize the temporal entanglement barrier in the measurement-free regime, exhibiting ballistic…

量子物理 · 物理学 2024-11-27 Jiangtian Yao , Pieter W. Claeys

Information scrambling is nowadays one of the most important topics in various fields of research. Measurement-only circuit (MoC) exhibits specific information scrambling dynamics, depending on the types of projective measurements and their…

无序系统与神经网络 · 物理学 2023-10-25 Yoshihito Kuno , Takahiro Orito , Ikuo Ichinose

Competition between unitary dynamics that scrambles quantum information non-locally and local measurements that probe and collapse the quantum state can result in a measurement-induced entanglement phase transition. Here we study this…

量子物理 · 物理学 2022-03-29 Gregory Bentsen , Subhayan Sahu , Brian Swingle

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…

量子物理 · 物理学 2022-12-12 Subhayan Sahu , Shao-Kai Jian , Gregory Bentsen , Brian Swingle

Projective measurement, a basic operation in quantum mechanics, can induce seemingly nonlocal effects. In this work, we analyze such effects in many-body systems by studying the non-equilibrium dynamics of weakly monitored quantum circuits,…

统计力学 · 物理学 2024-06-19 Shengqi Sang , Zhi Li , Timothy H. Hsieh , Beni Yoshida

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…

统计力学 · 物理学 2020-10-16 Xhek Turkeshi , Rosario Fazio , Marcello Dalmonte

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…

Scrambling unitary dynamics in a quantum system transmutes local quantum information into a non-local web of correlations which manifests itself in a complex spatio-temporal pattern of entanglement. In such a context, we show there can…

量子物理 · 物理学 2025-06-02 Alan Sherry , Sthitadhi Roy

Given an output wavefunction of a monitored quantum circuit consisting of both unitary gates and projective measurements, we ask whether two complementary subsystems are entangled or not. For Clifford circuits, we find that this question…

量子物理 · 物理学 2021-09-21 Beni Yoshida
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