Simulating Lattice Gauge Theories with Virtual Rishons

• URL: http://arxiv.org/abs/2603.05151v1
• Date: Thu, 05 Mar 2026 13:20:37 GMT
• Title: Simulating Lattice Gauge Theories with Virtual Rishons
• Authors: David Rogerson, João Barata, Robert M. Konik, Raju Venugopalan, Ananda Roy,
• Abstract summary: We develop a novel framework which enforces gauge symmetry via a quantum-link virtual rishon representation applied at intermediate steps.<n>We benchmark this framework in a U(1) gauge theory with and without matter fields.<n>These results establish the virtual rishon framework as a scalable and robust approach for the simulation of lattice gauge theories.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Classical tensor network and hybrid quantum-classical algorithms are promising candidates for the investigation of real-time properties of lattice gauge theories. We develop here a novel framework which enforces gauge symmetry via a quantum-link virtual rishon representation applied at intermediate steps. Crucially, the gauge and matter degrees of freedom are dynamical variables encoded in terms of qubits, enabling analysis of gauge theories in $d+1$ spacetime dimensions. We benchmark this framework in a U(1) gauge theory with and without matter fields. For $d = 1$, the multi-flavor Schwinger model with $1\leq N_f\leq3$ flavors is analyzed for arbitrary boundary conditions and nonzero topological angle, capturing signatures of the underlying Wess-Zumino-Witten conformal field theory. For $d = 2$, we extract the confining string tension in close agreement with continuum expectations. These results establish the virtual rishon framework as a scalable and robust approach for the simulation of lattice gauge theories using both classical tensor networks as well as near-term quantum hardware.

Related papers

• Enhancing Variational Quantum Eigensolvers for SU(2) Lattice Gauge Theory via Systematic State Preparation [30.701912352193677]
  We adapt the variational quantum eigensolver to non-Abelian gauge theories.<n>We outline scaling advantages when using a spin-network basis to simulate the gauge-invariant Hilbert space.<n>In this toy model, simulations allow us to investigate the impact of noise expected in current quantum devices.
  arXiv  Detail & Related papers  (2026-03-04T07:22:36Z)
• Quantum simulation of massive Thirring and Gross--Neveu models for arbitrary number of flavors [40.72140849821964]
  We consider the massive Thirring and Gross-Neveu models with arbitrary number of fermion flavors, $N_f$, discretized on a spatial one-dimensional lattice of size $L$.<n>We prepare the ground states of both models with excellent fidelity for system sizes up to 20 qubits with $N_f = 1,2,3,4$.<n>Our work is a concrete step towards the quantum simulation of real-time dynamics of large $N_f$ fermionic quantum field theories models.
  arXiv  Detail & Related papers  (2026-02-25T19:00:01Z)
• Qudit stabiliser codes for $\mathbb{Z}_N$ lattice gauge theories with matter [42.418429168532406]
  We show that a $mathbbZ_N$ gauge theory with prime dimension $N$ coupled to dynamical matter can be expressed as a qudit stabilizer code.<n>Using the stabilizer formalism we show how to formulate an exact mapping of the encoded $mathbbZ_N$ gauge theory onto two different bosonic models.
  arXiv  Detail & Related papers  (2026-02-24T08:07:05Z)
• Towards $2+1$D quantum electrodynamics on a cold-atom quantum simulator [2.074088857446944]
  We propose a feasible cold-atom quantum simulator of a lattice gauge theory in a spin $S=1$ truncation.<n>We derive a mapping of this theory onto a bosonic computational basis, stabilized by an emergent gauge-protection mechanism.<n>Our work significantly advances the experimental prospects for simulating higher-dimensional lattice gauge theories.
  arXiv  Detail & Related papers  (2026-02-04T19:00:00Z)
• Performance Guarantees for Quantum Neural Estimation of Entropies [31.955071410400947]
  Quantum neural estimators (QNEs) combine classical neural networks with parametrized quantum circuits.<n>We study formal guarantees for QNEs of measured relative entropies in the form of non-asymptotic error risk bounds.<n>Our theory aims to facilitate principled implementation of QNEs for measured relative entropies.
  arXiv  Detail & Related papers  (2025-11-24T16:36:06Z)
• Field digitization scaling in a $\mathbb{Z}_N \subset U(1)$ symmetric model [0.0]
  We propose to analyze field digitization by interpreting the parameter $N$ as a coupling in the renormalization group sense.<n>Using effective field theory, we derive generalized scaling hypotheses involving the FD parameter $N$.<n>We analytically prove that our calculations for the 2D classical-statistical $mathbbZ_N$ clock model are directly related to the quantum physics in the ground state of a (2+1)D $mathbbZ_N$ lattice gauge theory.
  arXiv  Detail & Related papers  (2025-07-30T18:00:02Z)
• Accurate Gauge-Invariant Tensor Network Simulations for Abelian Lattice Gauge Theory in (2+1)D: ground state and real-time dynamics [0.8098324388407977]
  We propose a novel network method to achieve accurate and efficient simulations of Abelian lattice gauge theories (LGTs) in (2+1)D.<n>The first key is to identify a gauge canonical form (GCF) of gauge-invariant tensor network states, which already simplifies existing algorithms for (1+1)D LGTs.<n>This is also the first example of using VMC to simulate the real-time dynamics of PEPS, whose impact may extend beyond gauge theory.
  arXiv  Detail & Related papers  (2025-03-26T14:04:21Z)
• Quantum and classical spin network algorithms for $q$-deformed Kogut-Susskind gauge theories [0.0]
  We introduce $q$-deformed Kogut-Susskind lattice gauge theories, obtained by deforming the defining symmetry algebra to a quantum group. Our proposal simultaneously provides a controlled regularization of the infinite-dimensional local Hilbert space while preserving essential symmetry-related properties. Our work gives a new perspective for the application of tensor network methods to high-energy physics.
  arXiv  Detail & Related papers  (2023-04-05T15:49:20Z)
• General quantum algorithms for Hamiltonian simulation with applications to a non-Abelian lattice gauge theory [44.99833362998488]
  We introduce quantum algorithms that can efficiently simulate certain classes of interactions consisting of correlated changes in multiple quantum numbers. The lattice gauge theory studied is the SU(2) gauge theory in 1+1 dimensions coupled to one flavor of staggered fermions. The algorithms are shown to be applicable to higher-dimensional theories as well as to other Abelian and non-Abelian gauge theories.
  arXiv  Detail & Related papers  (2022-12-28T18:56:25Z)
• Measurement-based quantum simulation of Abelian lattice gauge theories [0.0]
  We show that sequential single-qubit measurements with the bases adapted according to the former measurement outcomes induce a deterministic Hamiltonian quantum simulation of the gauge theory on the boundary. We demonstrate that the generalized cluster state has a symmetry-protected topological order with respect to generalized global symmetries.
  arXiv  Detail & Related papers  (2022-10-19T22:14:45Z)
• Quantum Algorithms for Simulating the Lattice Schwinger Model [63.18141027763459]
  We give scalable, explicit digital quantum algorithms to simulate the lattice Schwinger model in both NISQ and fault-tolerant settings. In lattice units, we find a Schwinger model on $N/2$ physical sites with coupling constant $x-1/2$ and electric field cutoff $x-1/2Lambda$. We estimate observables which we cost in both the NISQ and fault-tolerant settings by assuming a simple target observable---the mean pair density.
  arXiv  Detail & Related papers  (2020-02-25T19:18:36Z)

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.