# Exact generation of quantum states by the dynamics of spin chains

## TL;DR

This paper presents an exact method for generating specific quantum states in spin chains through engineered couplings, advancing beyond approximate solutions for states like W and Gaussian states.

## Contribution

It provides an exact analytical solution for state generation in spin chains, improving precision over previous approximate methods.

## Key findings

- Exact state generation achieved for W and Gaussian states
- Engineered couplings enable precise control of quantum state evolution
- Advances the understanding of quantum state manipulation in spin chains

## Abstract

We design a quasi-one dimensional spin chain with engineered coupling strengths such that the natural dynamics of the spin chain evolves a single excitation localized at the left hand site to any specified single particle state on the whole chain. Our treatment is an exact solution to a problem which has already been addressed in approximate ways. As two important examples, we study the $W$ states and Gaussian states with arbitrary width.