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Many numerical simulations in (bilinear) quantum control use the
monotonically convergent Krotov
algorithms (introduced by
Tannor [ (1992) 347–360]), Zhu and Rabitz [ (1998) 385–391] or their
unified form described in Maday and Turinici [ (2003) 8191–8196]. In
Maday [ (2006) 323–338], a time discretization which preserves the
property of monotonicity has been presented. This paper introduces a
proof of the convergence of these schemes and some results regarding their
rate of convergence.
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