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Recent progress in characterization for gapped quantum phases has also triggered the search of universal resource for quantum computation in symmetric gapped phases. Prior works in one dimension suggest that it is a feature more common than…

Quantum Physics · Physics 2017-09-18 Tzu-Chieh Wei , Ching-Yu Huang

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),…

Quantum Physics · Physics 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…

Statistical Mechanics · Physics 2020-10-16 Xhek Turkeshi , Rosario Fazio , Marcello Dalmonte

A quantum many-body system whose dynamics includes local measurements at a nonzero rate can be in distinct dynamical phases, with differing entanglement properties. We introduce theoretical approaches to measurement-induced phase…

Statistical Mechanics · Physics 2021-04-07 Adam Nahum , Sthitadhi Roy , Brian Skinner , Jonathan Ruhman

A powerful tool emerging from the study of many-body quantum dynamics is that of dual-unitary circuits, which are unitary even when read `sideways', i.e., along the spatial direction. Here, we show that this provides the ideal framework to…

Quantum Physics · Physics 2024-06-25 David T. Stephen , Wen Wei Ho , Tzu-Chieh Wei , Robert Raussendorf , Ruben Verresen

Recently it has been shown that the non-local correlations needed for measurement based quantum computation (MBQC) can be revealed in the ground state of the Affleck-Kennedy-Lieb-Tasaki (AKLT) model involving nearest neighbor spin-3/2…

Quantum Physics · Physics 2012-01-17 Andrew S. Darmawan , Gavin K. Brennen , Stephen D. Bartlett

Measurement-induced phase transition (MIPT) describes the nonanalytical change of the entanglement entropy resulting from the interplay between measurement and unitary evolution. In this paper, we investigate the relaxation critical…

Quantum Physics · Physics 2026-01-27 Wantao Wang , Shuo Liu , Jiaqiang Li , Shi-Xin Zhang , Shuai Yin

We show how to perform measurement-based quantum computing on qudits (high-dimensional quantum systems) using alternative resource states beyond the cluster state. Estimating overheads for gate decomposition, we find that generalizing…

Quantum Physics · Physics 2026-02-13 Alena Romanova , Wolfgang Dür

We present a comprehensive analysis of the emerging order and chaos and enduring symmetries, accompanying a generic (high-barrier) first-order quantum phase transition (QPT). The interacting boson model Hamiltonian employed, describes a QPT…

Nuclear Theory · Physics 2014-10-01 M. Macek , A. Leviatan

We investigate the prospects of employing the linear cross-entropy to experimentally access measurement-induced phase transitions (MIPT) without requiring any postselection of quantum trajectories. For two random circuits that are identical…

Quantum Physics · Physics 2023-06-08 Yaodong Li , Yijian Zou , Paolo Glorioso , Ehud Altman , Matthew P. A. Fisher

Measurement-induced phase transitions (MIPT) have attracted increasing attention due to the rich phenomenology of entanglement structures and their relation with quantum information processing. Since physical systems are unavoidably coupled…

Quantum Physics · Physics 2023-05-30 Shuo Liu , Ming-Rui Li , Shi-Xin Zhang , Shao-Kai Jian , Hong Yao

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…

Quantum Physics · Physics 2025-03-11 Jin Ming Koh , Shi-Ning Sun , Mario Motta , Austin J. Minnich

Starting from a state of low quantum entanglement, local unitary time evolution increases the entanglement of a quantum many-body system. In contrast, local projective measurements disentangle degrees of freedom and decrease entanglement.…

Statistical Mechanics · Physics 2019-07-24 Amos Chan , Rahul M. Nandkishore , Michael Pretko , Graeme Smith

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…

Quantum Physics · Physics 2022-11-08 Hanchen Liu , Tianci Zhou , Xiao Chen

The paradigm of measurement-based quantum computing (MBQC) starts from a highly entangled resource state on which unitary operations are executed through adaptive measurements and corrections ensuring determinism. This is set in contrast to…

Quantum Physics · Physics 2023-11-29 Thierry Nicolas Kaldenbach , Matthias Heller

We present a new perspective on thermal and quantum phase transitions (QPT) in $(2+1)$-dimensional quantum chromodynamics based on symmetries, topology, and quantum dynamical structure of the baryon ground state in the large $N_c$ limit for…

High Energy Physics - Theory · Physics 2019-04-25 Laith H. Haddad

Quantum phase transitions out of a symmetry-protected topological (SPT) phase in (1+1) dimensions into an adjacent, topologically distinct SPT phase protected by the same symmetry or a trivial gapped phase, are typically described by a…

Strongly Correlated Electrons · Physics 2017-08-02 Gil Young Cho , Ken Shiozaki , Shinsei Ryu , Andreas W. W. Ludwig

The competition between quantum many-particle dynamics and continuous monitoring can lead to measurement-induced phase transitions (MIPTs). So far, MIPTs have been extensively explored in fermionic or spin systems. To examine the…

Quantum Physics · Physics 2025-06-17 Kazuki Yokomizo , Yuto Ashida

We study the statistical properties of a single free quantum particle evolving coherently on a discrete lattice in ${\rm d}$ spatial dimensions where every lattice site is additionally subject to continuous measurement of the occupation…

Quantum Physics · Physics 2024-08-20 Tony Jin , David G. Martin

Measurement-induced phase transitions (MIPT), characterizing abrupt changes in entanglement properties in quantum many-body systems subjected to unitary evolution with interspersed projective measurements, have garnered increasing interest.…

Quantum Physics · Physics 2024-11-12 Wantao Wang , Shuo Liu , Jiaqiang Li , Shi-Xin Zhang , Shuai Yin