  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 photon-losses.
