Equivalence between local tracking procedures and monotonic algorithms in quantum control

Gabriel Turinici (1, 2)

1 MICMAC - Methods and engineering of multiscale computing from atom to continuum
2 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

The computer simulations of quantum control use several approaches including local tracking procedures that prescribe the controlling field through the requirement that a certain functional be decreasing and monotonic algorithms that solve the Euler-Lagrange equations for a predefined cost functional. While different in implementation, recent works [1] hinted that these two classes share some common characteristics. We propose in this contribution a rigorous ground for such conclusions and discuss the precise formulation that allows to construct this equivalence.

Mots clés: Computer simulation; Controllability; Cost function; Equations; Laboratories; Performance analysis; Quantum computing; Quantum mechanics; Target tracking; Trajectory

Domaines: Analyse numérique [math.NA]

Gabriel Turinici. Equivalence between local tracking procedures and monotonic algorithms in quantum control. CDC-ECC '05 - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control, Dec 2005, Seville, Spain. pp.8203-8208, ⟨10.1109/CDC.2005.1583490⟩. ⟨hal-00798230⟩