Universal learning of nonlocal entropy via local correlations in non-equilibrium quantum states

• URL: http://arxiv.org/abs/2511.18327v1
• Date: Sun, 23 Nov 2025 07:34:25 GMT
• Title: Universal learning of nonlocal entropy via local correlations in non-equilibrium quantum states
• Authors: Hao Liao, Xuanqin Huang, Ping Wang,
• Abstract summary: Characterizing the nonlocal nature of quantum states is a central challenge in the practical application of large-scale quantum computation and simulation.<n>We employ a multilayer perceptron (MLP) to establish a universal mapping between the QMI and local correlations only up to second order for nonequilibrium states generated by quenches in a one-dimensional disordered XXZ model.
• Score: 8.415573546527419
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Characterizing the nonlocal nature of quantum states is a central challenge in the practical application of large-scale quantum computation and simulation. Quantum mutual information (QMI), a fundamental nonlocal measure, plays a key role in quantifying entanglement and has become increasingly important in studying nonequilibrium quantum many-body phenomena, such as many-body localization and thermalization. However, experimental measurement of QMI remains extremely difficult, particularly for nonequilibrium states, which are more complex than ground states. In this Letter, we employ a multilayer perceptron (MLP) to establish a universal mapping between the QMI and local correlations only up to second order for nonequilibrium states generated by quenches in a one-dimensional disordered XXZ model. Our approach provides a practical method for experimentally extracting QMI, readily applicable in platforms such as superconducting qubits. Moreover, this work will establishes a general framework for reconstructing other nonlocal observables, including Fisher information and out-of-time-ordered correlators.

Related papers

• Direct probing of the simulation complexity of open quantum many-body dynamics [42.085941481155295]
  We study the role of dissipation in simulating open-system dynamics using both quantum and classical methods.<n>Our results show that dissipation affects correlation length and mixing time in distinct ways at intermediate and long timescales.
  arXiv  Detail & Related papers  (2025-08-27T15:14:36Z)
• Tuning the Quantum Mpemba Effect in Isolated System by Initial State Engineering [11.207785341796862]
  We investigate the quantum Mpemba effect (QME) in isolated, non-integrable quantum systems.<n>We identify a tunable mechanism that influences the emergence of QME, showing faster relaxation from certain out-of-equilibrium states.<n>We propose an experimentally realizable quantum circuit, which requires no complex controls on quantum simulator platforms.
  arXiv  Detail & Related papers  (2025-05-04T09:29:24Z)
• Observation of disorder-free localization using a (2+1)D lattice gauge theory on a quantum processor [118.01172048932149]
  Disorder-induced phenomena in quantum many-body systems pose significant challenges for analytical methods and numerical simulations.<n>We investigate quantum circuits in tunable states to superpositions over all disorder configurations.
  arXiv  Detail & Related papers  (2024-10-09T05:28:14Z)
• Discovering Local Hidden-Variable Models for Arbitrary Multipartite Entangled States and Arbitrary Measurements [0.0]
  Measurement correlations in quantum systems can exhibit non-local behavior. We develop an approach that employs gradient-descent algorithms from machine learning to find LHV models. Our method now offers a quantitative tool for determining the regimes of non-locality in any given physical context.
  arXiv  Detail & Related papers  (2024-07-05T17:31:35Z)
• Enhanced Entanglement in the Measurement-Altered Quantum Ising Chain [43.80709028066351]
  Local quantum measurements do not simply disentangle degrees of freedom, but may actually strengthen the entanglement in the system.<n>This paper explores how a finite density of local measurement modifies a given state's entanglement structure.
  arXiv  Detail & Related papers  (2023-10-04T09:51:00Z)
• Mixed-state long-range order and criticality from measurement and feedback [1.1142354615369277]
  We propose a general framework for using local measurements, local unitaries, and non-local classical communication to construct quantum channels. We present two applications using fermion occupation number measurement to convert spinful free fermions in one dimension into a quantum-critical mixed state. The latter is an example where mixed-state quantum criticality can emerge from a gapped state of matter in constant depth using local quantum operations and non-local classical communication.
  arXiv  Detail & Related papers  (2023-03-27T18:00:02Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• General quantum correlation from nonreal values of Kirkwood-Dirac quasiprobability over orthonormal product bases [0.0]
  A general quantum correlation, wherein entanglement is a subset, has been recognized as a resource in a variety of schemes of quantum information processing and quantum technology. We show that it satisfies certain requirements expected for a quantifier of general quantum correlations. Our results suggest a deep connection between the general quantum correlation and the nonclassical values of the KD quasiprobability and the associated strange weak values.
  arXiv  Detail & Related papers  (2022-08-06T04:29:15Z)
• Experimental validation of the Kibble-Zurek Mechanism on a Digital Quantum Computer [62.997667081978825]
  The Kibble-Zurek mechanism captures the essential physics of nonequilibrium quantum phase transitions with symmetry breaking. We experimentally tested the KZM for the simplest quantum case, a single qubit under the Landau-Zener evolution. We report on extensive IBM-Q experiments on individual qubits embedded in different circuit environments and topologies.
  arXiv  Detail & Related papers  (2022-08-01T18:00:02Z)
• Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator [41.74498230885008]
  We demonstrate a programmable quantum simulator based on deterministically prepared two-dimensional arrays of neutral atoms. We benchmark the system by creating and characterizing high-fidelity antiferromagnetically ordered states. We then create and study several new quantum phases that arise from the interplay between interactions and coherent laser excitation.
  arXiv  Detail & Related papers  (2020-12-22T19:00:04Z)
• Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
  dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states. Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
  arXiv  Detail & Related papers  (2020-07-23T19:05:56Z)
• Single-copies estimation of entanglement negativity [1.7179583883220435]
  Entanglement plays a central role in quantum information processing. We propose a scheme to estimate the entanglement negativity of any bi- partition of a composite system.
  arXiv  Detail & Related papers  (2020-04-23T17:57:01Z)
• Distribution of quantum coherence and quantum phase transition in the Ising system [2.318473106845779]
  Quantifying quantum coherence of a given system plays an important role in quantum information science. We propose an analysis on the critical behavior of two types Ising systems when distribution of quantum coherence.
  arXiv  Detail & Related papers  (2020-01-29T07:28:04Z)

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.