Universality of Measurement-Induced Criticality under Symmetry-Breaking Measurements

• URL: http://arxiv.org/abs/2607.08589v1
• Date: Thu, 09 Jul 2026 15:24:48 GMT
• Title: Universality of Measurement-Induced Criticality under Symmetry-Breaking Measurements
• Abstract summary: We study the critical properties of random quantum circuits with a $U(1)$ symmetry subject to local projective measurements.<n>We find that, at the measurement-induced phase transition, symmetry-breaking measurements act as a relevant perturbation at large scales.
• Score: 0.15293427903448023
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the critical properties of random quantum circuits with a $U(1)$ symmetry subject to local projective measurements that explicitly break this symmetry. We find that, at the measurement-induced phase transition, symmetry-breaking measurements act as a relevant perturbation at large scales, leading to the same universal critical properties as the corresponding monitored random circuit with non-symmetric unitary dynamics. In particular, we consider monitored $U(1)$-symmetric Haar-random circuits in the limit of large local Hilbert-space dimension, where the trajectory-averaged entanglement entropy can be exactly obtained in terms of a classical statistical mechanics model. In this model, the charge associated with the conservation law follows a symmetric simple exclusion process, in which symmetry-breaking measurements correspond to disordered defects that create and destroy charges. We prove that the charge correlation length remains finite for any measurement rate, ruling out a charge-sharpening transition, in contrast to the case of symmetry-preserving measurements. We further support our predictions at finite local Hilbert-space dimension through numerical finite-size scaling analyses of the entanglement transition in monitored $U(1)$-symmetric Haar and stabilizer random circuits.

Related papers

• Symmetry structure dependent diagnostic of the Quantum Mpemba Effect [0.0]
  symmetry restoration in isolated quantum many-body systems is an important problem in nonequilibrium many-body quantum physics.<n>Recent studies have shown that the quantum Mpemba effect can be characterized through entanglement asymmetry, where states with stronger initial symmetry breaking restore symmetry faster.<n>We investigate whether conventional energy-based measures, such as the trace distance, capture the same phenomenon.
  arXiv  Detail & Related papers  (2026-09-09T17:12:58Z)
• Symmetry Constrained Quantum Error Mitigation for the Schwinger Model [39.146761527401424]
  We exploit the parity and fermion-number symmetries of a gauge theory under depolarising noise.<n>We investigate symmetry verification under digital quantum simulation.
  arXiv  Detail & Related papers  (2026-08-21T13:49:11Z)
• Reducing Symmetry Increase in Equivariant Neural Networks [21.62431626298374]
  We provide a detailed and in-depth characterization of symmetry increase together with a principled framework for its reduction.<n>We propose practical guidelines for feature design to prevent harmful symmetry increases.<n>We provide visualizations and experiments on both synthetic datasets and the real-world QM9 dataset.
  arXiv  Detail & Related papers  (2026-08-12T12:46:25Z)
• Quantitative Wigner-Araki-Yanase Theorems for Unitary and Antiunitary Symmetries [0.0]
  We establish WAY-type theorems for symmetry-breaking projective measurements and unitary gates under arbitrary unitary and antiunitary symmetries.<n>Our results apply to discrete and antiunitary symmetries, thereby providing a fundamental limit for symmetry-limited quantum measurement and control beyond the continuous-symmetry regime.
  arXiv  Detail & Related papers  (2026-07-10T03:41:42Z)
• Typical entanglement in anyon chains: Page curves beyond Lie group symmetries [41.99844472131922]
  We study bipartite entanglement statistics in one-dimensional anyon chains constrained by fusion rules of unitary pre-modular categories.<n>Surprisingly, despite the constrained Hilbert space structure, the large $L$ expansion has no universal $O(sqrtL)$ or $O(1)$ symmetry-type corrections.<n> Numerical simulations of the integrable and quantum-chaotic golden chain Hamiltonian show that chaotic mid-spectrum eigenstates match the Haar-random predictions.
  arXiv  Detail & Related papers  (2026-03-26T18:00:03Z)
• Statistical-Geometric Degeneracy in UAV Search: A Physics-Aware Asymmetric Filtering Approach [23.49656058107753]
  Post-disaster survivor localization using Unmanned Aerial Vehicles (UAVs) faces a fundamental physical challenge.<n>Unlike standard Gaussian noise, signal reflection from debris introduces strictly non-negative ranging biases.<n>Existing robust estimators, typically designed with symmetric loss functions, implicitly rely on the assumption of error symmetry.<n>We propose a physically-grounded solution, the AsymmetricHuberEKF, which explicitly incorporates the non-negative physical prior of NLOS biases.
  arXiv  Detail & Related papers  (2026-02-11T08:33:56Z)
• Sequential Circuit as Generalized Symmetry on Lattice [19.75535599298441]
  Generalized symmetry extends the usual notion of symmetry to ones that are of higher-form, acting on subsystems, non-invertible, etc.<n>In this paper, we ask how to obtain the full, potentially non-invertible symmetry action from the unitary sequential circuit.<n>We find that for symmetries that contain the trivial symmetry operator as a fusion outcome, the sequential circuit fully determines the symmetry action and puts various constraints on their fusion.<n>In contrast, for unannihilable symmetries, like that whose corresponding twist is the Cheshire string, a further 1D sequential circuit is needed
  arXiv  Detail & Related papers  (2025-07-30T05:28:27Z)
• Translation symmetry restoration in integrable systems: the noninteracting case [0.16385815610837165]
  We study translation symmetry restoration in integrable systems.<n>In particular, we consider non-interacting spinless fermions on the lattice prepared in non-equilibrium states invariant under $nu>1$ lattice shifts.<n>We show that, differently from random unitary circuits where symmetry restoration occurs abruptly for times proportional to the subsystem size, here symmetry is restored smoothly and over timescales of the order of the subsystem size squared.
  arXiv  Detail & Related papers  (2025-06-17T14:11:31Z)
• Observation of non-Hermitian bulk-boundary correspondence in non-chiral non-unitary quantum dynamics of single photons [31.05848822220465]
  In non-Hermitian systems, preserved chiral symmetry is one of the key ingredients, which plays a pivotal role in determining non-Hermitian topology.<n>We theoretically predict and experimentally demonstrate the bulk-boundary correspondence of a one-dimensional (1D) non-Hermitian system with chiral symmetry breaking.
  arXiv  Detail & Related papers  (2025-04-07T09:43:43Z)
• Measurement-induced entanglement transition in chaotic quantum Ising chain [42.87502453001109]
  We study perturbations that break the integrability and/or the symmetry of the model, as well as modifications in the measurement protocol, characterizing the resulting chaos and lack of integrability through the Dissipative Spectral Form Factor (DSFF) We show that while the measurement-induced phase transition and its properties appear broadly insensitive to lack of integrability and breaking of the $bbZ$ symmetry, a modification of the measurement basis from the transverse to the longitudinal direction makes the phase transition disappear altogether.
  arXiv  Detail & Related papers  (2024-07-11T17:39:29Z)
• Symmetry restoration and quantum Mpemba effect in symmetric random circuits [3.326868738829707]
  Entanglement asymmetry serves as a diagnostic tool for symmetry breaking and a proxy for thermalization. In this Letter, we investigate symmetry restoration in various symmetric random quantum circuits.
  arXiv  Detail & Related papers  (2024-03-13T12:20:03Z)
• Entanglement asymmetry and quantum Mpemba effect in two-dimensional free-fermion systems [0.0]
  The quantum Mpemba effect is the counter-intuitive non-equilibrium phenomenon wherein the dynamic restoration of a broken symmetry occurs more rapidly when the initial state exhibits a higher degree of symmetry breaking. Here we focus on a two-dimensional free-fermion lattice employing the entanglement asymmetry as a measure of symmetry breaking. We find that the quantum Mpemba effect is strongly affected by the size of the system in the transverse dimension, with the potential to either enhance or spoil the phenomenon depending on the initial states.
  arXiv  Detail & Related papers  (2024-03-07T13:38:40Z)
• Efficient quantum algorithms for testing symmetries of open quantum systems [17.55887357254701]
  In quantum mechanics, it is possible to eliminate degrees of freedom by leveraging symmetry to identify the possible physical transitions. Previous works have focused on devising quantum algorithms to ascertain symmetries by means of fidelity-based symmetry measures. We develop alternative symmetry testing quantum algorithms that are efficiently implementable on quantum computers.
  arXiv  Detail & Related papers  (2023-09-05T18:05:26Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.