An improvement of D-MORPH method for finding quantum optimal control
Konstantin Zhdanov
TL;DR
This paper enhances the D-MORPH algorithm for quantum control by incorporating new mathematical corrections, leading to faster and more precise optimization of quantum system evolution.
Contribution
It introduces new correction expressions for D-MORPH that utilize Hamiltonian commutators, improving the algorithm's efficiency and accuracy.
Findings
Faster convergence in quantum control optimization
Higher precision in final quantum states
Reduced computational resources required
Abstract
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.
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Taxonomy
TopicsQuantum Mechanics and Applications · Advanced Thermodynamics and Statistical Mechanics