A control protocol of finite dimensional quantum systems

TL;DR

This paper presents an exact, analytic control protocol for finite-dimensional quantum systems, enabling precise state manipulation using cosine classical fields with analytically determined control parameters.

Contribution

It introduces a novel control protocol that analytically determines control parameters for driving quantum systems to arbitrary states using cosine fields.

Findings

System can be driven to any target state in finite cycles.

Control parameters are analytically linked to target state amplitudes.

Protocol is applicable to two types of finite-dimensional quantum systems.

Abstract

An exact and analytic control protocol of two types of finite dimensional quantum systems is proposed. The system can be drive to an arbitrary target state using cosine classical fields in finite cycles. The control parameters which are time periods of interaction between systems and control fields in each cycles are connected with the probability amplitudes of target states via triangular functions and can be determined analytically.