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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…

无序系统与神经网络 · 物理学 2023-09-12 Conner LeMaire , Andrew A. Allocca , J. H. Pixley , Thomas Iadecola , Justin H. Wilson

We numerically study the measurement-driven quantum phase transition of Haar-random quantum circuits in $1+1$ dimensions. By analyzing the tripartite mutual information we are able to make a precise estimate of the critical measurement rate…

无序系统与神经网络 · 物理学 2020-02-26 Aidan Zabalo , Michael J. Gullans , Justin H. Wilson , Sarang Gopalakrishnan , David A. Huse , J. H. Pixley

We study the entanglement dynamics in a generic quantum automaton circuit subjected to projective measurements. We design an efficient algorithm which not only allows us to perform large scale simulation for the R\'enyi entropy but also…

量子物理 · 物理学 2021-01-07 Jason Iaconis , Andrew Lucas , Xiao Chen

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…

量子物理 · 物理学 2026-04-14 Jeonghyeok Park , Hyukjoon Kwon , Hyunseok Jeong

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…

量子物理 · 物理学 2024-08-08 Eliot Heinrich , Xiao Chen

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

Measurement-induced entanglement phase transitions in monitored quantum circuits have stimulated activity in a diverse research community. However, the study of measurement-induced dynamics, due to the requirement of exponentially complex…

量子物理 · 物理学 2025-07-01 Kim Pöyhönen , Ali G. Moghaddam , Moein N. Ivaki , Teemu Ojanen

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…

量子物理 · 物理学 2024-02-22 Christian Carisch , Alessandro Romito , Oded Zilberberg

We provide an in-depth characterization of a three modes Bose-Einstein condensate trapped in a symmetric circular triple well potential. We analyze how a subsystem independent measure of entanglement, the purity related to the su(3)…

量子物理 · 物理学 2011-03-10 T. F. Viscondi , K. Furuya , M. C. de Oliveira

Quantum circuits offer a versatile platform for simulating digital quantum dynamics and uncovering novel states of non-equilibrium quantum matter. One principal example are measurement-induced phase transitions arising from non-unitary…

量子物理 · 物理学 2025-06-10 Kai Klocke , Daniel Simm , Guo-Yi Zhu , Simon Trebst , Michael Buchhold

We introduce a fully tuneable entangling gate for continuous-variable one-way quantum computation. We present a proof-of-principle demonstration by propagating two independent optical inputs through a three-mode linear cluster state and…

We study the level-spacing statistics in the entanglement spectrum of output states of random universal quantum circuits where qubits are subject to a finite probability of projection to the computational basis at each time step. We…

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

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

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…

量子物理 · 物理学 2022-05-16 Qi Zhang , Guang-Ming Zhang

We study quantum circuits consisting of unitary gates, projective measurements, and control operations that steer the system towards a pure absorbing state. Two types of phase transition occur as the rate of these control operations is…

量子物理 · 物理学 2023-06-07 Lorenzo Piroli , Yaodong Li , Romain Vasseur , Adam Nahum

The evolution of entanglement entropy in quantum circuits composed of Haar-random gates and projective measurements shows versatile behavior, with connections to phase transitions and complexity theory. We reformulate the problem in terms…

无序系统与神经网络 · 物理学 2020-04-16 Oles Shtanko , Yaroslav A. Kharkov , Luis Pedro García-Pintos , Alexey V. Gorshkov

We present a random-matrix analysis of the entangling power of a unitary operator as a function of the number of times it is iterated. We consider unitaries belonging to the circular ensembles of random matrices (CUE or COE) applied to…

量子物理 · 物理学 2009-11-13 Romulo F. Abreu , Raul O. Vallejos

Gate-based universal quantum computation is formulated in terms of two types of operations: local single-qubit gates, which are typically easily implementable, and two-qubit entangling gates, whose faithful implementation remains one of the…

量子物理 · 物理学 2023-10-18 Xiaoqin Gao , Paul Appel , Nicolai Friis , Martin Ringbauer , Marcus Huber

We uncover a dynamical entanglement transition in a monitored quantum system that is heralded by a local order parameter. Classically, chaotic systems can be stochastically controlled onto unstable periodic orbits and exhibit controlled and…

无序系统与神经网络 · 物理学 2022-08-10 Thomas Iadecola , Sriram Ganeshan , J. H. Pixley , Justin H. Wilson