TY - GEN
T1 - Exponential convergence of a dissipative quantum system towards finite-energy grid states of an oscillator
AU - Sellem, Lev Arcady
AU - Campagne-Ibarcq, Philippe
AU - Mirrahimi, Mazyar
AU - Sarlette, Alain
AU - Rouchon, Pierre
N1 - Publisher Copyright:
© 2022 IEEE.
PY - 2022/1/1
Y1 - 2022/1/1
N2 - 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 oscillator is proposed. This Lindblad dynamics stabilizes exactly the finite-energy grid states introduced in 2001 by Gottesman, Kitaev and Preskill for quantum computation. Stabilization results from an exponential Lyapunov function with an explicit lower-bound on the convergence rate. Numerical simulations indicate the potential interest of such autonomous QEC in presence of non-negligible photonlosses.
AB - 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 oscillator is proposed. This Lindblad dynamics stabilizes exactly the finite-energy grid states introduced in 2001 by Gottesman, Kitaev and Preskill for quantum computation. Stabilization results from an exponential Lyapunov function with an explicit lower-bound on the convergence rate. Numerical simulations indicate the potential interest of such autonomous QEC in presence of non-negligible photonlosses.
UR - https://www.scopus.com/pages/publications/85147008682
U2 - 10.1109/CDC51059.2022.9992722
DO - 10.1109/CDC51059.2022.9992722
M3 - Conference contribution
AN - SCOPUS:85147008682
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 5149
EP - 5154
BT - 2022 IEEE 61st Conference on Decision and Control, CDC 2022
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 61st IEEE Conference on Decision and Control, CDC 2022
Y2 - 6 December 2022 through 9 December 2022
ER -