The HALO Engine: $\mathcal{O}(1)$-Step Compilation and Localized String Rupture for Lattice Gauge Theories on Quantum Hardware

• URL: http://arxiv.org/abs/2608.19243v1
• Date: Fri, 14 Aug 2026 13:07:47 GMT
• Title: The HALO Engine: $\mathcal{O}(1)$-Step Compilation and Localized String Rupture for Lattice Gauge Theories on Quantum Hardware
• Abstract summary: We introduce the Hardware-Aware Lattice Optimization (HALO) compiler, which executes global time-evolution steps in an immutable $mathcalO(1)$ circuit depth per Trotter step.<n>We execute the non-perturbative dynamics of a heavily stretched $L=15$ meson string on a 16-qubit superconducting transmon processor.<n>We map the dynamical phase diagram of the mesoscopic lattice, pinpointing the effective confinement phase boundary at precisely $g_c = 1.0$.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Simulating the real-time dynamics of lattice gauge theories (LGTs) represents a challenge for near-term quantum computing. Standard digital simulations rely on Trotterization schemes where circuit depth scales proportionally with lattice size, inevitably colliding with the coherence limits of noisy intermediate-scale quantum (NISQ) hardware. To deal with this depth-scaling bottleneck, we introduce the Hardware-Aware Lattice Optimization (HALO) compiler, an architecture that executes global time-evolution steps in an immutable $\mathcal{O}(1)$ circuit depth per Trotter step. Leveraging this framework, we elevate the digital simulation of the Quantum Link Model (QLM) truncation of the Schwinger model to the mesoscopic scale, utilizing a composite multi-qubit gauge link representation to support non-trivial electric field dynamics. We initialize and execute the non-perturbative dynamics of a heavily stretched $L=15$ meson string on a 16-qubit superconducting transmon processor. By coupling the $\mathcal{O}(1)$ compilation with Zero-Noise Extrapolation (ZNE), we suppress physical hardware decoherence to extract the precise dynamical crossover of localized pair creation, identifying the topological transition at $t \approx 0.790$ lattice units with an $18.3 \pm 2.2\%$ rupture probability. Furthermore, we empirically map the dynamical phase diagram of the mesoscopic lattice, pinpointing the effective confinement phase boundary at precisely $g_c = 1.0$. Finally, we extend the mathematical principles of the HALO engine to higher dimensions, presenting a scalable, constant-depth 2D unit-cell blueprint that eliminates the routing overhead of magnetic plaquettes, paving a direct algorithmic pathway toward the fault-tolerant simulation of two-dimensional Quantum Chromodynamics (QCD).

Related papers

• Matrix Holography on an Optical Lattice [0.0]
  We propose a quantum-simulation protocol based on a lattice of atomic ensembles and time-averaged Floquet dynamics.<n>We show that the coupling parameter can be tuned beyond $mathcalO(1)$, enabling the simulation of strong-coupling physics.
  arXiv  Detail & Related papers  (2026-09-04T18:00:04Z)
• Quantum-classical crossover in fault-tolerant quantum dynamics simulation [56.198154828333685]
  We introduce a scalable fault-tolerant framework that combines coherent observable estimation with a space-time-efficient implementation of non-Clifford rotations.<n>A benchmark against state-of-the-art tensor-network and variational Monte Carlo algorithms reveals a concrete crossover for mixed-field Ising dynamics.
  arXiv  Detail & Related papers  (2026-07-17T16:54:25Z)
• 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 Real-time Dynamics in the multi-flavor Gross-Neveu Model at the utility scale using Superconducting Quantum Computers [2.5315729179239637]
  We present a quantum simulation framework for real-time dynamics of the multi-flavor Gross-Neveu model in 1+1 dimensions.<n>We develop a hardware-efficient Trotterization whose per-step circuit depth scales with fermion flavor number rather than total system size.<n>A central contribution of this work is the Localized Diagonal Operator Approximation (LDOA), which systematically reduces the overhead associated with quartic interactions.
  arXiv  Detail & Related papers  (2026-05-06T21:57:51Z)
• Approximate Hamiltonian Simulation Algorithm for Efficient Fluid Quantum Simulations [7.831166491139832]
  This work aims to address the bottleneck issues of hardware resource limitation and decoherence error in the Hamiltonian simulation of quantum fluids.<n>We propose an approximate operator optimization scheme aimed at reducing the circuit depth in Hamiltonian evolution.
  arXiv  Detail & Related papers  (2026-04-19T15:26:25Z)
• TrackHHL: The 1-Bit Quantum Filter for particle trajectory reconstruction [0.2089615335919449]
  We introduce the 1-Bit Quantum Filter, a domain-specific adaptation of Harrow-Hassidim-Lloyd (HHL)<n>This work establishes a resource-efficient track reconstruction method capable of solving realistic event topologies on noise-free simulators and smaller tracking scenarios within the current constraints of the Noisy Intermediate Scale (NISQ) era.
  arXiv  Detail & Related papers  (2026-01-12T17:49:04Z)
• Efficient Qudit Circuit for Quench Dynamics of $2+1$D Quantum Link Electrodynamics [0.565395466029518]
  We propose a resource-efficient method for simulating $2+1$D spin-$S$ $mathrmU(1)$ quantum link lattice gauge theories with dynamical matter.<n>By integrating out the matter fields through Gauss's law, we reformulate the quantum link model in a purely spin picture compatible with qudit encoding.<n>Our framework significantly reduces the number of quantum resources and gate count.
  arXiv  Detail & Related papers  (2025-07-16T19:16:49Z)
• Real-Time Dynamics in a (2+1)-D Gauge Theory: The Stringy Nature on a Superconducting Quantum Simulator [32.73124984242397]
  We probe string modes of motion with dynamical matter in a digital quantum simulation of a (2+1) dimensional gauge theory.<n>We employ extensive tensor network simulations using the basis update and Galerkin method to predict large-scale real-time dynamics.<n>This work establishes a milestone for probing non-perturbative gauge dynamics via superconducting quantum simulation.
  arXiv  Detail & Related papers  (2025-07-10T18:01:27Z)
• Simulating the Mott transition on a noisy digital quantum computer via Cartan-based fast-forwarding circuits [62.73367618671969]
  Dynamical mean-field theory (DMFT) maps the local Green's function of the Hubbard model to that of the Anderson impurity model. Quantum and hybrid quantum-classical algorithms have been proposed to efficiently solve impurity models. This work presents the first computation of the Mott phase transition using noisy digital quantum hardware.
  arXiv  Detail & Related papers  (2021-12-10T17:32:15Z)
• Realization of arbitrary doubly-controlled quantum phase gates [62.997667081978825]
  We introduce a high-fidelity gate set inspired by a proposal for near-term quantum advantage in optimization problems. By orchestrating coherent, multi-level control over three transmon qutrits, we synthesize a family of deterministic, continuous-angle quantum phase gates acting in the natural three-qubit computational basis.
  arXiv  Detail & Related papers  (2021-08-03T17:49:09Z)
• Preparation of excited states for nuclear dynamics on a quantum computer [117.44028458220427]
  We study two different methods to prepare excited states on a quantum computer. We benchmark these techniques on emulated and real quantum devices. These findings show that quantum techniques designed to achieve good scaling on fault tolerant devices might also provide practical benefits on devices with limited connectivity and gate fidelity.
  arXiv  Detail & Related papers  (2020-09-28T17:21:25Z)
• 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)
• 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.