# Unitary Two-State Quantum Operators Realized By Quadrupole Fields in the Electron Microscope

## TL;DR

This paper proposes a novel method using electromagnetic quadrupole fields in electron microscopes to implement arbitrary two-state quantum operators, potentially advancing quantum measurement and computing technologies.

## Contribution

It introduces a new approach for realizing unitary two-state quantum operators with quadrupole fields, including analytical derivations and feasibility simulations.

## Key findings

- Analytical formulas for quadrupole and beam settings
- Numerical simulations confirm practical feasibility
- Potential applications in quantum measurement and computing

## Abstract

In this work, a novel method for using a set of electromagnetic quadrupole fields is presented to implement arbitrary unitary operators on a two-state quantum system of electrons. In addition to analytical derivations of the required quadrupole and beam settings which allow an easy direct implementation, numerical simulations of realistic scenarios show the feasibility of the proposed setup. This is expected to pave the way not only for new measurement schemes in electron microscopy and related fields but even one day for the implementation of quantum computing in the electron microscope.