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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

When subject to a non-local unitary evolution, qubits in a quantum circuit become increasingly entangled. Conversely, measurements applied to individual qubits lead to their disentanglement from the collective system. The extent of…

量子物理 · 物理学 2025-01-22 Sourav Manna , Vaibhav Madhok , Arul Lakshminarayan

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

We introduce and explore a one-dimensional "hybrid" quantum circuit model consisting of both unitary gates and projective measurements. While the unitary gates are drawn from a random distribution and act uniformly in the circuit, the…

量子物理 · 物理学 2018-11-21 Yaodong Li , Xiao Chen , Matthew P. A. Fisher

Repeated projective measurements in unitary circuits can lead to an entanglement phase transition as the measurement rate is tuned. In this work, we consider a different setting in which the projective measurements are replaced by…

量子物理 · 物理学 2024-01-25 Raúl Morral-Yepes , Adam Smith , S. L. Sondhi , Frank Pollmann

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

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

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…

According to Dyson's three fold way, from the viewpoint of global time reversal symmetry there are three circular ensembles of unitary random matrices relevant to the study of chaotic spectra in quantum mechanics. These are the circular…

数学物理 · 物理学 2017-02-24 Folkmar Bornemann , Peter J. Forrester , Anthony Mays

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

Ergodic quantum many-body systems undergoing unitary dynamics evolve towards increasingly entangled states characterized by an extensive scaling of entanglement entropy with system volume. At the other extreme, quantum systems repeatedly…

量子物理 · 物理学 2025-03-11 Jin Ming Koh , Shi-Ning Sun , Mario Motta , Austin J. Minnich

We experimentally demonstrate a controlled-phase gate for continuous variables in a fully measurement-based fashion. In our scheme, the two independent input states of the gate, encoded in two optical modes, are teleported into a four-mode…

量子物理 · 物理学 2012-01-30 Ryuji Ukai , Shota Yokoyama , Jun-ichi Yoshikawa , Peter van Loock , Akira Furusawa

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

The intensely studied measurement-induced entanglement phase transition has become a hallmark of non-unitary quantum many-body dynamics. Usually, such a transition only shows up at the level of each individual quantum trajectory, and is…

统计力学 · 物理学 2023-07-26 Vikram Ravindranath , Yiqiu Han , Zhi-Cheng Yang , Xiao Chen

Quantum entanglement is affected by unitary evolution, which spreads the entanglement through the whole system, and also by measurements, which usually tends to disentangle subsystems from the rest. Their competition has been known to…

量子物理 · 物理学 2025-06-24 Haifeng Tang , Hong-Yi Wang , Zhong Wang , Xiao-Liang Qi

We study measurement-induced phase transitions in quantum circuits consisting of kicked Ising models with postselected weak measurements, whose dynamics can be mapped onto a classical dynamical system. For a periodic (Floquet) non-unitary…

量子物理 · 物理学 2025-07-08 Bastien Lapierre , Liang-Hong Mo , Shinsei Ryu

Dissipation is inevitable in realistic quantum circuits. We examine the effects of dissipation on a class of monitored random circuits that exhibit a measurement-induced entanglement phase transition. This transition has previously been…

统计力学 · 物理学 2023-10-13 Yue Li , Martin Claassen

We study the scaling of the convergence of several statistical properties of a recently introduced random unitary circuit ensemble towards their limits given by the circular unitary ensemble (CUE). Our study includes the full distribution…

量子物理 · 物理学 2010-06-23 Ludovic Arnaud , Daniel Braun

We study the time evolution of entanglement in a quantum version of the Kac ring. Our model consists of two spin chains and quantum gates instead of the classical markers. The gates take one qubit from each ring at a time as an input and…

统计力学 · 物理学 2014-12-15 Johannes M. Oberreuter , Ingo Homrighausen , Stefan Kehrein
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