arXiv subjects

Konstantin Zhdanov

Publications and source records attributed to Konstantin Zhdanov.

2 recordsLinked to original sources

arXiv2017

An improvement of D-MORPH method for finding quantum optimal control

The paper examines the prominent algorithm D-MORPH to search for the optimal control of a quantum system in order to implement desired unitary evolution of the quantum system at the final time, and reveals new mathematical expressions for various orders' corrections to the algorithm, that include information about the commutators of the system's Hamiltonian. Inclusion of such corrections results in faster optimal quantum control's search with high precision, i.e. allows saving of computational resources.

quant-ph↗

arXiv2017

A new way to accelerate the D-MORPH method to search for optimal quantum control

The paper introduces new corrections of different orders of smallness to the D-MORPH method by using the full form of the derivative of the exponential map, defined on a Lie algebra, to search for the optimal control of a quantum system that implements a desired unitary evolution. The inclusion of such corrections, which take into account information about different system Hamiltonian's commutators, results in faster optimal control's finding, even compared to the improved version of the method published earlier by the author.

quant-ph↗