Emergent metric from wavelet-transformed quantum field theory

• URL: http://arxiv.org/abs/2504.06698v2
• Date: Thu, 10 Apr 2025 10:43:34 GMT
• Title: Emergent metric from wavelet-transformed quantum field theory
• Authors: Šimon Vedl, Daniel J. George, Fil Simovic, Dominic G. Lewis, Nicholas Funai, Achim Kempf, Nicolas C. Menicucci, Gavin K. Brennen,
• Abstract summary: We introduce a method of reverse holography by which a bulk metric is shown to arise from locally computable multiscale correlations of a boundary quantum field theory (QFT)<n>The metric is obtained from the Petz-R'enyi mutual information using as input the correlations computed from the continuous wavelet transform.<n>We show for free massless fermionic and bosonic QFTs that the emerging metric is anti-de Sitter space (AdS) and that the parameters fixing the geometry are tunable by changing the chosen wavelet basis.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We introduce a method of reverse holography by which a bulk metric is shown to arise from locally computable multiscale correlations of a boundary quantum field theory (QFT). The metric is obtained from the Petz-R\'enyi mutual information using as input the correlations computed from the continuous wavelet transform. We show for free massless fermionic and bosonic QFTs that the emerging metric is asymptotically anti-de Sitter space (AdS), and that the parameters fixing the geometry are tunable by changing the chosen wavelet basis. The method is applicable to a variety of boundary QFTs that need not be conformal field theories.

Related papers

• Fluctuation-Dissipation Theorem and Information Geometry in Open Quantum Systems [2.203892199657599]
  We propose a fluctuation-dissipation theorem in open quantum systems from an information-theoretic perspective. We define the fidelity susceptibility that measures the sensitivity of the systems under perturbation and relate it to the fidelity correlator that characterizes the correlation behaviors for mixed quantum states.
  arXiv  Detail & Related papers  (2024-09-27T17:45:02Z)
• The multi-state geometry of shift current and polarization [44.99833362998488]
  We employ quantum state projectors to develop an explicitly gauge-invariant formalism. We provide a simple expression for the shift current that resolves its precise relation to the moments of electronic polarization. We reveal its decomposition into the sum of the skewness of the occupied states and intrinsic multi-state geometry.
  arXiv  Detail & Related papers  (2024-09-24T18:00:02Z)
• Feynman Diagrams for Matter Wave Interferometry [0.0]
  We introduce a new theoretical framework based on Feynman diagrams to compute phase shifts in matter wave interferometry. We apply the method to compute the response of matter wave interferometers to power law potentials and potentials with an arbitrary spatial dependence.
  arXiv  Detail & Related papers  (2024-07-16T07:26:19Z)
• Gaussian Entanglement Measure: Applications to Multipartite Entanglement of Graph States and Bosonic Field Theory [50.24983453990065]
  An entanglement measure based on the Fubini-Study metric has been recently introduced by Cocchiarella and co-workers. We present the Gaussian Entanglement Measure (GEM), a generalization of geometric entanglement measure for multimode Gaussian states. By providing a computable multipartite entanglement measure for systems with a large number of degrees of freedom, we show that our definition can be used to obtain insights into a free bosonic field theory.
  arXiv  Detail & Related papers  (2024-01-31T15:50:50Z)
• Applications of flow models to the generation of correlated lattice QCD ensembles [69.18453821764075]
  Machine-learned normalizing flows can be used in the context of lattice quantum field theory to generate statistically correlated ensembles of lattice gauge fields at different action parameters. This work demonstrates how these correlations can be exploited for variance reduction in the computation of observables.
  arXiv  Detail & Related papers  (2024-01-19T18:33:52Z)
• Action formalism for geometric phases from self-closing quantum trajectories [55.2480439325792]
  We study the geometric phase of a subset of self-closing trajectories induced by a continuous Gaussian measurement of a single qubit system. We show that the geometric phase of the most likely trajectories undergoes a topological transition for self-closing trajectories as a function of the measurement strength parameter.
  arXiv  Detail & Related papers  (2023-12-22T15:20:02Z)
• A Floquet-Rydberg quantum simulator for confinement in $\mathbb{Z}_2$ gauge theories [44.99833362998488]
  Recent advances in the field of quantum technologies have opened up the road for the realization of small-scale quantum simulators. We present a scalable Floquet scheme for the quantum simulation of the real-time dynamics in a $mathbbZ$ LGT. We show that an observation of gauge-invariant confinement dynamics in the Floquet-Rydberg setup is at reach of current experimental techniques.
  arXiv  Detail & Related papers  (2023-11-28T13:01:24Z)
• Boundary transfer matrix spectrum of measurement-induced transitions [4.29658743722439]
  We introduce a transfer matrix approach to study the boundary spectrum of non-unitary conformal field theories. We apply this approach to numerically monitored Haar and Clifford circuits, and to the measurement-only Ising model.
  arXiv  Detail & Related papers  (2023-10-04T18:00:08Z)
• Quantum Chebyshev Transform: Mapping, Embedding, Learning and Sampling Distributions [18.124351208075062]
  We show how to encode data into quantum states with amplitudes growing exponentially in the system size. We propose an embedding circuit for generating the orthonormal Chebyshev basis of exponential capacity. This enables automatic model differentiation, and opens a route to solving differential equations.
  arXiv  Detail & Related papers  (2023-06-29T15:19:32Z)
• Criticality-Enhanced Quantum Sensing in the Anisotropic Quantum Rabi Model [6.284204043713657]
  We generalize the framework for criticality-enhanced quantum sensing by the quantum Rabi model to its anisotropic counterpart. We find that the contributions of the rotating-wave and counterrotating-wave interaction terms are symmetric at the limit of the infinite ratio of qubit frequency to field frequency.
  arXiv  Detail & Related papers  (2023-02-27T11:20:31Z)
• Variational waveguide QED simulators [58.720142291102135]
  Waveguide QED simulators are made by quantum emitters interacting with one-dimensional photonic band-gap materials. Here, we demonstrate how these interactions can be a resource to develop more efficient variational quantum algorithms.
  arXiv  Detail & Related papers  (2023-02-03T18:55:08Z)
• Gauge-equivariant flow models for sampling in lattice field theories with pseudofermions [51.52945471576731]
  This work presents gauge-equivariant architectures for flow-based sampling in fermionic lattice field theories using pseudofermions as estimators for the fermionic determinant. This is the default approach in state-of-the-art lattice field theory calculations, making this development critical to the practical application of flow models to theories such as QCD.
  arXiv  Detail & Related papers  (2022-07-18T21:13:34Z)
• Entanglement in quantum field theory via wavelet representations [0.0]
  We show a multiscale representation of a free bosonic and Ising model fermionic QFTs using wavelets. We also find some new applications of the wavelet transform as a compressed representation of ground states of QFTs.
  arXiv  Detail & Related papers  (2022-01-17T04:48:46Z)
• Numerical Simulations of Noisy Quantum Circuits for Computational Chemistry [51.827942608832025]
  Near-term quantum computers can calculate the ground-state properties of small molecules. We show how the structure of the computational ansatz as well as the errors induced by device noise affect the calculation.
  arXiv  Detail & Related papers  (2021-12-31T16:33:10Z)

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.