Encoding Compact U(1) Gauge Fields in Bosonic Modes with GKP Stabilization

• URL: http://arxiv.org/abs/2609.00167v1
• Date: Mon, 31 Aug 2026 18:01:02 GMT
• Title: Encoding Compact U(1) Gauge Fields in Bosonic Modes with GKP Stabilization
• Abstract summary: We bridge the gap between bosonic quantum hardware and compact lattice gauge theories.<n>A one-to-one encoding becomes exact in the limit of infinite squeezing.<n>A one-plaquette example reproduces the exact compact-rotor dynamics.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Compact lattice gauge theories are formulated in terms of angular variables and integer electric fluxes, while bosonic quantum hardware provides oscillator modes with continuous, unbounded quadratures. We bridge this gap with a one-to-one encoding. After Gauss's law is solved, each remaining gauge degree of freedom is carried by a single oscillator mode, with its interactions built from trigonometric gates, and a Gottesman--Kitaev--Preskill (GKP)-type stabilizer provides the compactness that the hardware does not. The encoding becomes exact in the limit of infinite squeezing, and at finite squeezing, the leading imperfections act as small, computable shifts of physical observables rather than uncontrolled leakage. We apply the construction to compact QED$_3$ and derive the error budget at finite squeezing, characterizing the leading errors in closed form, and showing that they can be corrected, subtracted, or extrapolated away. We construct syndrome-extraction protocols that detect and remove the displacement component of photon loss, delimit the noise it does not reach, compare two choices of dynamical variables, and collect the scaling of mode count, gate count, and measurement cost. A one-plaquette example reproduces the exact compact-rotor dynamics, and real-time spectroscopy with controlled extrapolations recovers the exponentially small energy splitting between charge sectors, the seed of the monopole physics of the theory, at the percent level against its exact value.

Related papers

• Probabilistic Error Cancellation for Single-Mode Gottesman-Kitaev-Preskill Codes [45.91504150103373]
  We study a quantum error mitigation method known as probabilistic error cancellation in the context of the Gottesman-Kitaev-Preskill code.<n>We employ the stabilizer subsystem decomposition for GKP codes to obtain an effective logical channel for noisy operations.
  arXiv  Detail & Related papers  (2026-09-15T12:29:45Z)
• Quantum Wavefunction Augmentation via Variational Autoencoders [0.0]
  We introduce Quantum Wavefunction Augmentation via Variational Autoencoders (Q-WAVE)<n>Q-WAVE is a hybrid method that combines determinants sampled via SqDRIFT Krylov circuits and configuration interaction singles and doubles (CISD) determinants with generative machine learning.<n>We demonstrate sub-millihartree accuracy versus full configuration for $textHtextO$ and $textN$textCr$ on a 52-qubit system.
  arXiv  Detail & Related papers  (2026-09-07T20:49:34Z)
• The Gain-Engineered Transmon [68.89136228609398]
  We introduce and experimentally realize a noise-biased qubit in a standard transmon-readout resonator circuit.<n>Our results open a path towards using this system as a simple building-block for hardware-efficient quantum error detection and correction schemes.
  arXiv  Detail & Related papers  (2026-08-26T17:00:42Z)
• Quantum Decision Theory for Displacement Detection with Finite-Energy GKP States [46.2474896050764]
  We develop a framework for detecting phase-space displacements with finite-energy, $d$-level Gottesman-Kitaev-Preskill (GKP) probes.<n>For single-mode and entanglement-assisted architectures, we derive the Bayesian minimum-error probability.<n>We benchmark the resulting protocols against coherent-state, direction-matched squeezed-vacuum, and twin-beam schemes.
  arXiv  Detail & Related papers  (2026-08-08T10:32:05Z)
• A Bogoliubov-ratio framework for quantum-information diagnostics of time-dependent two-mode Boson Hamiltonian [10.22413990748989]
  We present a compact and unified framework for quantum-information diagnostics of time-dependent two-mode bosonic systems.<n>We demonstrate the utility of this framework in two distinct non-stationary setups: primordial cosmological perturbations and a chirped-pulse nondegenerate optical parametric amplifier.
  arXiv  Detail & Related papers  (2026-07-27T13:21:40Z)
• Quantum Magnetometry with Orientation beyond Steady-State Limits in Cavity-Magnon Systems [3.7474502478967238]
  We present a transient quantum sensing framework for cavity-magnon systems.<n>We show that residual initial quantum correlations can drastically enhance the short-time signal-to-noise ratio.<n>Our results establish a unified route to scalable, high precision, multidimensional quantum magnetometry.
  arXiv  Detail & Related papers  (2026-04-30T09:00:03Z)
• Agnostic Dynamical Decoupling for Single-Qubit Gates [0.0]
  We introduce a method for designing smooth single-qubit control pulses that implement a desired gate.<n>Unlike dynamically corrected gate constructions that require prior knowledge of the noise model, the present approach is agnostic to the detailed form of the target-bath interaction.
  arXiv  Detail & Related papers  (2026-03-13T18:00:09Z)
• A Concatenated Dual Displacement Code for Continuous-Variable Quantum Error Correction [4.486796752191548]
  This work establishes a viable route toward fault-tolerant continuous quantum computation.<n>It provides new insight into the design ofvariabled CV error-correcting architectures.
  arXiv  Detail & Related papers  (2025-11-29T13:24:40Z)
• Universal quantum computation via scalable measurement-free error correction [45.29832252085144]
  We show that universal quantum computation can be made fault-tolerant in a scenario where the error-correction is implemented without mid-circuit measurements.<n>We introduce a measurement-free deformation protocol of the Bacon-Shor code to realize a logical $mathitCCZ$ gate.<n>In particular, our findings support that below-breakeven logical performance is achievable with a circuit-level error rate below $10-3$.
  arXiv  Detail & Related papers  (2024-12-19T18:55:44Z)
• Experimental realization of deterministic and selective photon addition in a bosonic mode assisted by an ancillary qubit [33.7054351451505]
  Bosonic quantum error correcting codes are primarily designed to protect against single-photon loss.<n>Error correction requires a recovery operation that maps the error states -- which have opposite parity -- back onto the code states.<n>Here, we realize a collection of photon-number-selective, simultaneous photon addition operations on a bosonic mode.
  arXiv  Detail & Related papers  (2022-12-22T23:32:21Z)
• Noise-resilient Edge Modes on a Chain of Superconducting Qubits [103.93329374521808]
  Inherent symmetry of a quantum system may protect its otherwise fragile states. We implement the one-dimensional kicked Ising model which exhibits non-local Majorana edge modes (MEMs) with $mathbbZ$ parity symmetry. MEMs are found to be resilient against certain symmetry-breaking noise owing to a prethermalization mechanism.
  arXiv  Detail & Related papers  (2022-04-24T22:34:15Z)
• 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)
• Sample Complexity Bounds for 1-bit Compressive Sensing and Binary Stable Embeddings with Generative Priors [52.06292503723978]
  Motivated by advances in compressive sensing with generative models, we study the problem of 1-bit compressive sensing with generative models. We first consider noiseless 1-bit measurements, and provide sample complexity bounds for approximate recovery under i.i.d.Gaussian measurements. We demonstrate that the Binary $epsilon$-Stable Embedding property, which characterizes the robustness of the reconstruction to measurement errors and noise, also holds for 1-bit compressive sensing with Lipschitz continuous generative models.
  arXiv  Detail & Related papers  (2020-02-05T09:44:10Z)

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.