Deterministic Universal Logical Gates for Finite-Energy GKP Qubits in Trapped Neutral Atoms
Abstract
We present a universal logical gate set for finite-energy Gottesman-Kitaev-Preskill (GKP) qubits encoded in the harmonic motional states of trapped neutral atoms. Internal electronic states serve as ancilla for implementing state-dependent conditional displacements in phase space, enabling arbitrary single-qubit phase gates. A Transient Rydberg excitation-mediated atomic dipole-dipole interaction enables a controlled-Z gate without invoking the blockade mechanism. The gates operate under magic-trapping conditions, allowing continuous trapping throughout the gate sequence, thereby preserving the motional encoding without intermediate measurement or feedforward. We assess the experimental feasibility of the proposed protocols using neutral 88Sr atoms and obtain average gate fidelities of $0.986$ for single-qubit phase gates and $0.985$ for the controlled-Z gate at a finite squeezing parameter of Δ=0.25 (12 dB of squeezing), increasing to $0.997$ and $0.995$ respectively as Δ reaches $0.1$. These results provide a route toward universal, measurement-free logical control of motional GKP qubits in neutral-atom architectures.
Related
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BibTeX
@misc{kumar2026deterministic,
title = {{Deterministic Universal Logical Gates for Finite-Energy GKP Qubits in Trapped Neutral Atoms}},
author = {Alok Kumar and Aaron N. Raja and Diksha Thapliyal and Ishitwa Kumar Das and Ajay Wasan1},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.30631},
eprint = {2608.30631},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.30631},
}
RIS
TY - UNPB
TI - Deterministic Universal Logical Gates for Finite-Energy GKP Qubits in Trapped Neutral Atoms
AU - Alok Kumar
AU - Aaron N. Raja
AU - Diksha Thapliyal
AU - Ishitwa Kumar Das
AU - Ajay Wasan1
PY - 2026
DA - 2026/08/31
PB - arXiv
DO - 10.48550/arxiv.2608.30631
UR - https://arxiv.org/abs/2608.30631
AB - We present a universal logical gate set for finite-energy Gottesman-Kitaev-Preskill (GKP) qubits encoded in the harmonic motional states of trapped neutral atoms. Internal electronic states serve as ancilla for implementing state-dependent conditional displacements in phase space, enabling arbitrary single-qubit phase gates. A Transient Rydberg excitation-mediated atomic dipole-dipole interaction enables a controlled-Z gate without invoking the blockade mechanism. The gates operate under magic-trapping conditions, allowing continuous trapping throughout the gate sequence, thereby preserving the motional encoding without intermediate measurement or feedforward. We assess the experimental feasibility of the proposed protocols using neutral ^88Sr atoms and obtain average gate fidelities of $0.986$ for single-qubit phase gates and $0.985$ for the controlled-Z gate at a finite squeezing parameter of Δ=0.25 (12 dB of squeezing), increasing to $0.997$ and $0.995$ respectively as Δ reaches $0.1$. These results provide a route toward universal, measurement-free logical control of motional GKP qubits in neutral-atom architectures.
ER -