Stabilization of finite-energy grid states of a quantum harmonic oscillator by reservoir engineering with two dissipation channels
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866913033526181888 |
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| author | Robin, Rémi Rouchon, Pierre Sellem, Lev-Arcady |
| author_facet | Robin, Rémi Rouchon, Pierre Sellem, Lev-Arcady |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_13529 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stabilization of finite-energy grid states of a quantum harmonic oscillator by reservoir engineering with two dissipation channels Robin, Rémi Rouchon, Pierre Sellem, Lev-Arcady Quantum Physics Optimization and Control 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. |
| title | Stabilization of finite-energy grid states of a quantum harmonic oscillator by reservoir engineering with two dissipation channels |
| topic | Quantum Physics Optimization and Control |
| url | https://arxiv.org/abs/2604.13529 |