Quantum simulation of gauge theories on dynamical spacetimes via Floquet-induced matrix models

• URL: http://arxiv.org/abs/2607.04040v1
• Date: Sat, 04 Jul 2026 21:58:30 GMT
• Title: Quantum simulation of gauge theories on dynamical spacetimes via Floquet-induced matrix models
• Abstract summary: Floquet framework makes large-$N$ matrix models directly accessible to programmable quantum platforms.<n>We show that Euclidean path integral weights of a Yang-Mills matrix models are reproduced, at leading order in the coupling, by the ensemble-averaged fidelities of Haar-random states.<n>The framework preserves continuous symmetries and unitarity on dynamical geometries, opening quantum simulation to field and spacetime dynamics.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum simulations of gauge theories are typically built on spatial lattices, an approach that has enabled major progress at the cost of requiring fixed background geometries and obscuring the treatment of curved and dynamical spacetimes. Large-$N$ matrix models offer an alternative, encoding spacetime geometry and gauge fields in the commutation structure of a set of Hermitian matrices, with the classical continuum emerging smoothly at large matrix dimensions. Here we introduce a Floquet framework that makes these models directly accessible to programmable quantum platforms. We show that Euclidean path integral weights of a Yang-Mills matrix models are reproduced, at leading order in the coupling, by the ensemble-averaged fidelities of Haar-random states evolved under periodic sequences of matrix operators. The observables for the simulated matrix model can then be accessed through established randomized benchmarking protocols in terms of the Loschmidt echo. The encoding requires exponentially fewer qubits than canonically quantized approaches. Numerically, we validate the fidelity-weight correspondence, demonstrate parallelized quantum circuits that sample the path-integral measure, and identify the deconfinement transition of an $SU(2)$ gauge field on both flat and expanding cosmological backgrounds. By avoiding a fixed spacetime lattice, the framework preserves continuous symmetries and unitarity on dynamical geometries, opening quantum simulation to field and spacetime dynamics beyond the reach of conventional lattice methods.

Related papers

• Quantum Dynamic Time Warping for Multivariate Time Series Classification [41.99844472131922]
  We propose a hybrid Quantum Dynamic Time Warping architecture, replacing the classical distance metric with the parameterized geometry of a quantum Hilbert space.<n>We demonstrate this architecture allows untrained quantum kernels to act as highly expressive baselines, while parameterized training effectively untangles deeply overlapping hyper-dimensional data.
  arXiv  Detail & Related papers  (2026-06-26T07:58:37Z)
• Quantum simulation of the Liouville equation in classical mechanics with discontinuous potential via Schrödingerization [42.22857110018992]
  We develop quantum simulation algorithms for the Liouville equation of classical mechanics with discontinuous potential.<n>We combine Hamiltonian-preserving schemes by Jin and Wen in Commun. Math. Sci. 3(3), 285-315 (2005) with the Schrdingerization method, which embeds the resulting nonunitary semi-discrete dynamics into a unitary Schrdinger type system.
  arXiv  Detail & Related papers  (2026-06-13T02:49:05Z)
• Real-Time Observation of Aharonov-Bohm Interference in a $\mathbb{Z}_2$ Lattice Gauge Theory on a Hybrid Qubit-Oscillator Quantum Computer [0.0]
  We demonstrate a resource-efficient encoding of a $mathbbZ$ LGT using a hybrid qubit-oscillator trapped-ion quantum device.<n>We probe Gauss's law in a $mathbbZ$ link and extend this to a loop geometry, marking the first steps towards higher-dimensional LGTs.<n>Our results chart a promising path for scalable quantum simulations of bosonic gauge theories.
  arXiv  Detail & Related papers  (2025-07-25T18:02:33Z)
• Programmable photonic quantum walks on lattices with cyclic, toroidal, and cylindrical topology [0.0]
  Photonic implementations of unitary processes on lattice structures, such as quantum walks, have been demonstrated across various architectures.<n>Here, we employ a recently developed platform that enables the implementation of arbitrary translationally invariant unitary operations on one- and two-dimensional lattices.<n>We program our platform to realize quantum walks on 1D cyclic lattices and 2D lattices with cylindrical or toroidal topologies.
  arXiv  Detail & Related papers  (2025-06-23T18:28:35Z)
• Non-Abelian dynamics on a cube: improving quantum compilation through qudit-based simulations [0.0]
  Recent developments in mapping lattice gauge theories relevant to the Standard Model onto digital quantum computers identify scalable paths with well-defined quantum compilation challenges toward the continuum.<n>We address the simulation of SU(2) lattice gauge theory using qudit registers to encode the digitized gauge field.<n>We demonstrate an end-to-end simulation of real-time, qutrit-digitized SU(2) dynamics on a cube.
  arXiv  Detail & Related papers  (2025-06-12T17:49:08Z)
• Symmetrizing the Constraints -- Density Matrix Renormalization Group for Constrained Lattice Models [0.40964539027092917]
  We develop a density matrix renormalization group (DMRG) algorithm for constrained quantum lattice models.<n>Such an implementation allows us to investigate a quantum dimer model in DMRG for any lattice geometry wrapped around a cylinder with substantial circumference.
  arXiv  Detail & Related papers  (2025-04-05T03:05:11Z)
• Simulating Schwinger model dynamics with quasi-one-dimensional qubit arrays [0.0]
  We develop a strategy to run Schwinger model dynamics on synthetic quantum spin lattices. We show that global magnetic field patterns can drive coherent quantum dynamics of the interface equivalent to the lattice Schwinger Hamiltonian. This work opens up a path for near-term quantum simulators to address questions of immediate relevance to particle physics.
  arXiv  Detail & Related papers  (2024-09-22T17:58:25Z)
• 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)
• Fixed Depth Hamiltonian Simulation via Cartan Decomposition [59.20417091220753]
  We present a constructive algorithm for generating quantum circuits with time-independent depth. We highlight our algorithm for special classes of models, including Anderson localization in one dimensional transverse field XY model. In addition to providing exact circuits for a broad set of spin and fermionic models, our algorithm provides broad analytic and numerical insight into optimal Hamiltonian simulations.
  arXiv  Detail & Related papers  (2021-04-01T19:06:00Z)
• State preparation and measurement in a quantum simulation of the O(3) sigma model [65.01359242860215]
  We show that fixed points of the non-linear O(3) sigma model can be reproduced near a quantum phase transition of a spin model with just two qubits per lattice site. We apply Trotter methods to obtain results for the complexity of adiabatic ground state preparation in both the weak-coupling and quantum-critical regimes. We present and analyze a quantum algorithm based on non-unitary randomized simulation methods.
  arXiv  Detail & Related papers  (2020-06-28T23:44:12Z)
• Simulating nonnative cubic interactions on noisy quantum machines [65.38483184536494]
  We show that quantum processors can be programmed to efficiently simulate dynamics that are not native to the hardware. On noisy devices without error correction, we show that simulation results are significantly improved when the quantum program is compiled using modular gates.
  arXiv  Detail & Related papers  (2020-04-15T05:16:24Z)

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.