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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 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 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 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

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

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

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

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 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 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

It has recently been discovered that random quantum circuits provide an avenue to realize rich entanglement phase diagrams, which are hidden to standard expectation values of operators. Here we study (2+1)D random circuits with random…

统计力学 · 物理学 2021-12-03 Ali Lavasani , Yahya Alavirad , Maissam Barkeshli

The role of quantum fluctuations in modifying the critical behavior of non-equilibrium phase transitions is a fundamental but unsolved question. In this study, we examine the absorbing state phase transition of a 1D chain of qubits…

统计力学 · 物理学 2024-07-02 Nastasia Makki , Nicolai Lang , Hans Peter Büchler

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

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

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-only circuits provide a minimal setting in which repeated local projections can either generate or suppress many-body entanglement, giving rise to measurement-induced phase transitions and dynamical regimes, that might have no…

Monitored quantum circuits in which entangling unitary dynamics compete with projective local measurements can host measurement-induced phase transitions witnessed by entanglement measures at late times. Adding feedback conditioned on the…

量子物理 · 物理学 2025-04-17 Haining Pan , Thomas Iadecola , E. M. Stoudenmire , J. H. Pixley

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…

量子物理 · 物理学 2025-02-05 Cole Kelson-Packer , Akimasa Miyake

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
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