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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…

Disordered Systems and Neural Networks · Physics 2023-11-10 Aidan Zabalo , Justin H. Wilson , Michael J. Gullans , Romain Vasseur , Sarang Gopalakrishnan , David A. Huse , J. H. Pixley

In optimal quantum control, control landscape phase transitions (CLPTs) indicate sharp changes occurring in the set of optimal protocols, as a physical model parameter is varied. Here, we demonstrate the existence of a new class of CLPTs,…

Quantum Physics · Physics 2025-11-03 Nicolò Beato , Pranay Patil , Marin Bukov

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…

Disordered Systems and Neural Networks · Physics 2023-09-12 Conner LeMaire , Andrew A. Allocca , J. H. Pixley , Thomas Iadecola , Justin H. Wilson

Time evolution of quantum many-body systems typically leads to a state with maximal entanglement allowed by symmetries. Two distinct routes to impede entanglement growth are inducing localization via spatial disorder, or subjecting the…

Quantum Physics · Physics 2021-11-23 Tsung-Cheng Lu , Tarun Grover

We propose a new scheme of measurement-based quantum computation (MBQC) using an error-correcting code against photon-loss in circuit quantum electrodynamics. We describe a specific protocol of logical single-qubit gates given by sequential…

Quantum Physics · Physics 2019-12-17 Jaewoo Joo , Chang-Woo Lee , Shingo Kono , Jaewan Kim

Resource states that contain nontrivial symmetry-protected topological order are identified for universal single-qudit measurement-based quantum computation. Our resource states fall into two classes: one as the qudit generalizations of the…

Quantum Physics · Physics 2017-03-16 Dong-Sheng Wang , David T. Stephen , Robert Raussendorf

Monitored many-body systems can exhibit a phase transition between entangling and disentangling dynamical phases by tuning the strength of measurements made on the system as it evolves. This phenomenon is called the measurement-induced…

Quantum Physics · Physics 2025-02-05 Xiaozhou Feng , Jeremy Côté , Stefanos Kourtis , Brian Skinner

Interactions in Many-body systems are typically short-range and few-body. We investigate how such local interactions build up long-range and intrinsically multipartite entanglement by studying the $n$-partite Greenberger-Horne-Zeilinger…

Quantum Physics · Physics 2025-11-26 Guanglei Xu , Yu-Xiang Zhang

Two matrix product states (MPS) are in the same phase in the presence of symmetries if they can be transformed into one another via symmetric short-depth circuits. We consider how symmetry-preserving measurements with feedforward alter the…

Quantum Physics · Physics 2025-04-02 David Gunn , Georgios Styliaris , Tristan Kraft , Barbara Kraus

In this work, we generalize the algebraic framework for measurement-based quantum computation (MBQC) in one-dimensional symmetry protected topological states recently developed in [Quantum 7, 1215 (2023)], such that in addition to…

Quantum Physics · Physics 2024-09-25 Wang Yang , Arnab Adhikary , Robert Raussendorf

Quantum phase transitions (QPTs) in qubit systems are known to produce singularities in the entanglement, which could in turn be used to probe the QPT. Current proposals to measure the entanglement are challenging however, because of their…

Mesoscale and Nanoscale Physics · Physics 2013-08-26 Yun-Pil Shim , Sangchul Oh , Jianjia Fei , Xuedong Hu , Mark Friesen

We propose a solvable model of Quantum Darwinism to encoding transitions -- abrupt changes in how quantum information spreads in a many-body system under unitary dynamics. We consider a random Clifford circuit on an expanding tree, whose…

Quantum Physics · Physics 2024-03-13 Benoît Ferté , Xiangyu Cao

Measurement-induced phase transitions (MIPTs) are known to be described by non-unitary conformal field theories (CFTs) whose precise nature remains unknown. Most physical quantities of interest, such as the entanglement features of quantum…

Disordered Systems and Neural Networks · Physics 2024-01-08 Abhishek Kumar , Kemal Aziz , Ahana Chakraborty , Andreas W. W. Ludwig , Sarang Gopalakrishnan , J. H. Pixley , Romain Vasseur

Recently, the dynamics of quantum systems that involve both unitary evolution and quantum measurements have attracted attention due to the exotic phenomenon of measurement-induced phase transitions. The latter refers to a sudden change in a…

Quantum Physics · Physics 2025-06-23 Ryotaro Suzuki , Jonas Haferkamp , Jens Eisert , Philippe Faist

We present a numerical study of a quantum phase transition from a spin-polarized to a topologically ordered phase in a system of spin-1/2 particles on a torus. We demonstrate that this non-symmetry-breaking topological quantum phase…

Quantum Physics · Physics 2008-06-07 A. Hamma , W. Zhang , S. Haas , D. A. Lidar

We investigate quantum phase transitions in ladders of spin 1/2 particles by engineering suitable matrix product states for these ladders. We take into account both discrete and continuous symmetries and provide general classes of such…

Quantum Physics · Physics 2009-11-13 M. Asoudeh , V. Karimipour , A. Sadrolashrafi

Topological phase transition induced by spatially-tuned single-site measurement is investigated in a measurement-only circuit, in which three different types of projective measurement operator. Specific spatial setting and combination of…

Statistical Mechanics · Physics 2022-12-27 Yoshihito Kuno , Ikuo Ichinose

We study a (1+1)-dimensional quantum circuit consisting of Haar-random unitary gates and projective measurements that conserve a total $U(1)$ charge and thus have $U(1)$ symmetry. In addition to a measurement-induced entanglement transition…

Disordered Systems and Neural Networks · Physics 2023-01-31 Hisanori Oshima , Yohei Fuji

Decoherence in realistic quantum platforms motivates a mixed-state notion of topological phases of matter, including average symmetry-protected topological (ASPT) phases. Alongside this progress, generalized symmetries--notably…

Strongly Correlated Electrons · Physics 2026-03-19 Linhao Li , Zhen Bi , Weiguang Cao

Quantum computers promise to perform computations beyond the reach of modern computers with profound implications for scientific research. Due to remarkable technological advances, small scale devices are now becoming available for use. One…

Strongly Correlated Electrons · Physics 2022-05-20 Adam Smith , Bernhard Jobst , Andrew G. Green , Frank Pollmann
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