Stability and decoherence rates of a GKP qubit protected by dissipation⋆

LA Sellem, R Robin, P Campagne-Ibarcq… - IFAC-PapersOnLine, 2023 - Elsevier
We analyze an experimentally accessible Lindblad master equation for a quantum harmonic
oscillator. It approximately stabilizes finite-energy periodic grid states called Gottesman …

Robust suppression of noise propagation in Gottesman-Kitaev-Preskill error correction

C Siegele, P Campagne-Ibarcq - Physical Review A, 2023 - APS
Straightforward logical operations contrasting with complex state preparation are the
hallmarks of the bosonic encoding proposed by Gottesman, Kitaev, and Preskill (GKP). The …

Exponential convergence of a dissipative quantum system towards finite-energy grid states of an oscillator

LA Sellem, P Campagne-Ibarcq… - 2022 IEEE 61st …, 2022 - ieeexplore.ieee.org
Based on the stabilizer formalism underlying Quantum Error Correction (QEC), the design of
an original Lindblad master equation for the density operator of a quantum harmonic …

Stabilization of finite-energy Gottesman-Kitaev-Preskill states

B Royer, S Singh, SM Girvin - Physical Review Letters, 2020 - APS
We introduce a new approach to Gottesman-Kitaev-Preskill (GKP) states that treats their
finite-energy version in an exact manner. Based on this analysis, we develop new qubit …

Stabilizing quantum states by constructive design of open quantum dynamics

F Ticozzi, SG Schirmer, X Wang - IEEE Transactions on …, 2010 - ieeexplore.ieee.org
Based on recent work on the asymptotic behavior of controlled quantum Markovian
dynamics, we show that any generic quantum state can be stabilized by devising …

Convergence of bipartite open quantum systems stabilized by reservoir engineering

R Robin, P Rouchon, LA Sellem - arXiv preprint arXiv:2311.10037, 2023 - arxiv.org
We study a generic family of Lindblad master equations modeling bipartite open quantum
systems, where one tries to stabilize a quantum system by carefully designing its interaction …

Twirling and Hamiltonian engineering via dynamical decoupling for Gottesman-Kitaev-Preskill quantum computing

J Conrad - Physical Review A, 2021 - APS
I introduce an energy constrained approximate twirling operation that can be used to
diagonalize effective logical channels in Gottesman-Kitaev-Preskill (GKP) quantum error …

Qubit fidelity under stochastic Schr\" odinger equations driven by colored noise

R de Keijzer, L Visser, O Tse, S Kokkelmans - arXiv preprint arXiv …, 2024 - arxiv.org
Environmental noise on a controlled quantum system is generally modeled by a dissipative
Lindblad equation. This equation describes the average state of the system via the density …

Progress towards practical qubit computation using approximate Gottesman-Kitaev-Preskill codes

I Tzitrin, JE Bourassa, NC Menicucci, KK Sabapathy - Physical Review A, 2020 - APS
Encoding a qubit in the continuous degrees of freedom of an oscillator is a promising path to
error-corrected quantum computation. One advantageous way to achieve this is through …

Error correction of a logical grid state qubit by dissipative pumping

B De Neeve, TL Nguyen, T Behrle, JP Home - Nature Physics, 2022 - nature.com
Stabilization of encoded logical qubits using quantum error correction is crucial for the
realization of reliable quantum computers. Although error-correcting codes implemented …