Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication Related

Topics

Trapped Ion Quantum Computing Quantum Simulation

Stabilization of finite-energy grid states of a quantum harmonic oscillator by reservoir engineering with two dissipation channels

arXiv
Authors: Rémi Robin, Pierre Rouchon, Lev-Arcady Sellem

Year

2026

Paper ID

48785

Status

Preprint

Abstract Read

~2 min

Abstract Words

99

Citations

N/A

Abstract

We propose and analyze an experimentally accessible Lindblad master equation for a quantum harmonic oscillator, simplifying a previous proposal to alleviate implementation constraints. It approximately stabilizes periodic grid states introduced in 2001 by Gottesman, Kitaev and Preskill (GKP), with applications for quantum error correction and quantum metrology. We obtain explicit estimates for the energy of the solutions of the Lindblad master equation. We estimate the convergence rate to the codespace when stabilizing a GKP qubit, and numerically study the effect of noise. We then present simulations illustrating how a modification of parameters allows preparing states of metrological interest in steady-state.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • We propose and analyze an experimentally accessible Lindblad master equation for a quantum harmonic oscillator, simplifying a previous proposal to alleviate implementation...

Paper Tools

Become a member to use research tools

Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.

Become a member Sign in
Show Paper arXiv Publisher Share Cite This Paper Copy URL Compare Copy DOI Add to Reading List Category Correction Request

References & Citation Signals

[1] DOI https://doi.org/arXiv:2604.13529 [2] arXiv https://arxiv.org/abs/2604.13529 [3] Publisher https://arxiv.org/abs/2604.13529

Local Citation Graph (Related-Paper Links)

Current Paper #48785 #69978 Distribution Complexity of Elec... #69974 Hierarchical separation of rela... #69964 Bounded-depth spacetime lattice... #69945 Phase Stable Integrated Delay L...

External citation index: OpenAlex citation signal

Community Reactions

Quick sentiment from readers on this paper.

Score: 0
Likes: 0 Dislikes: 0

Sign in to react to this paper.

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.