Discrete Quantum Control - State Preparation

TL;DR

This paper introduces a discrete-time approach for optimal quantum control, transforming quantum dynamics into a Markov decision process and applying dynamic programming to achieve state preparation in simple qubit systems.

Contribution

It presents a novel discrete-time method for quantum control that simplifies the problem to a Markov decision process and demonstrates its effectiveness through analytical and numerical solutions.

Findings

Successfully applied to one-qubit systems

Achieved state preparation using dynamic programming

Validated with both numerical and analytical methods

Abstract

A discrete-time method for solving problems in optimal quantum control is presented. Controlling the time discretized markovian dynamics of a quantum system can be reduced to a Markov-decision process. We demonstrate this method in this with a class of simple one qubit systems, which are also discretized in space. For the task of state preparation we solve the examples both numerically and analytically with dynamic programming techniques.