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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 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

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

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 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 critical behavior of the entanglement transition induced by projective measurements in (Haar) random unitary quantum circuits. Using a replica approach, we map the calculation of the entanglement entropies in such…

统计力学 · 物理学 2020-03-11 Chao-Ming Jian , Yi-Zhuang You , Romain Vasseur , Andreas W. W. Ludwig

The resilience of quantum entanglement to a classicality-inducing environment is tied to fundamental aspects of quantum many-body systems. The dynamics of entanglement has recently been studied in the context of measurement-induced…

量子物理 · 物理学 2020-10-21 Oliver Lunt , Arijeet Pal

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…

无序系统与神经网络 · 物理学 2022-12-06 Jeremy Côté , Stefanos Kourtis

The entanglement entropy of a pure quantum state of a bipartite system $A \cup B$ is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local…

强关联电子 · 物理学 2008-11-26 Eduardo Fradkin , Joel E. Moore

We study entanglement fluctuations and quantum error correction in the weakly monitored volume-law phase of quantum automaton circuits subject to repeated local measurements. We numerically observe that the entanglement entropy exhibits…

量子物理 · 物理学 2023-01-19 Yiqiu Han , Xiao Chen

We define dynamical universality classes for many-body systems whose unitary evolution is punctuated by projective measurements. In cases where such measurements occur randomly at a finite rate $p$ for each degree of freedom, we show that…

统计力学 · 物理学 2019-07-29 Brian Skinner , Jonathan Ruhman , Adam Nahum

Monitored quantum circuits exhibit entanglement transitions at certain measurement rates. Such a transition separates phases characterized by how much information an observer can learn from the measurement outcomes. We study SU(2)-symmetric…

The rise of programmable quantum devices has motivated the exploration of circuit models which could realize novel physics. A promising candidate is a class of hybrid circuits, where entangling unitary dynamics compete with disentangling…

量子物理 · 物理学 2021-12-08 Stefanie Czischek , Giacomo Torlai , Sayonee Ray , Rajibul Islam , Roger G. Melko

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 investigate measurement-induced phase transitions in the Quantum Ising chain coupled to a monitoring environment. We compare two different limits of the measurement problem, the stochastic quantum-state diffusion protocol corresponding…

量子物理 · 物理学 2021-07-07 Xhek Turkeshi , Alberto Biella , Rosario Fazio , Marcello Dalmonte , Marco Schiro

We introduce a class of hybrid quantum circuits, with random unitaries and projective measurements, which host long-range order in the area law entanglement phase of the steady state. Our primary example is circuits with unitaries…

统计力学 · 物理学 2021-06-22 Shengqi Sang , Timothy H. Hsieh

Adaptive quantum circuits-where a quantum many-body state is controlled using measurements and conditional unitary operations-are a powerful paradigm for state preparation and quantum error correction tasks. They can support two types of…

量子物理 · 物理学 2025-06-30 Thomas Iadecola , Justin H. Wilson , J. H. Pixley

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 study critical properties of the entanglement and charge-sharpening measurement-induced phase transitions in a non-unitary quantum circuit evolving with a U(1) conserved charge. Our numerical estimation of the critical properties of the…

无序系统与神经网络 · 物理学 2024-11-15 Ahana Chakraborty , Kun Chen , Aidan Zabalo , Justin H. Wilson , J. H. Pixley

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…

无序系统与神经网络 · 物理学 2023-11-10 Aidan Zabalo , Justin H. Wilson , Michael J. Gullans , Romain Vasseur , Sarang Gopalakrishnan , David A. Huse , J. H. Pixley
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