# Nearly-optimal quantum control: analytical approach

## TL;DR

This paper introduces an analytical approach to nearly-optimal quantum control, enabling efficient state switching in quantum systems without complex computations.

## Contribution

It presents a new analytical framework for quantum control optimization within simple protocol families, reducing complexity and enhancing physical transparency.

## Key findings

- Designed control protocols for switching between orthogonal states
- Achieved near-optimal control with reduced computational complexity
- Demonstrated effectiveness on a biased two-level quantum system

## Abstract

We propose nearly-optimal control strategies for changing states of a quantum system. We argue that quantum control optimization can be studied analytically within some protocol families that depend on a small set of parameters for optimization. This optimization strategy can be preferred in practice because it is physically transparent and does not lead to combinatorial complexity in multistate problems. For demonstration, we design optimized control protocols that achieve switching between orthogonal states of a naturally biased quantum two-level system.