Three-Qubit Gate Realization Using Single Quantum Particle

TL;DR

This paper proposes a method to realize three-qubit quantum gates using a single quantum particle with eight energy levels, employing nuclear spin-7/2 and radio frequency pulses for universal quantum computation.

Contribution

It introduces a novel formalism using virtual spin to encode three qubits in one particle and demonstrates a feasible implementation with a single pulse for all universal gates.

Findings

Single-particle three-qubit gate realization demonstrated

Universal gate set implemented with nuclear spin-7/2

One-pulse realization of the Toffoli gate achieved

Abstract

Using virtual spin formalism it is shown that a quantum particle with eight energy levels can store three qubits. The formalism allows to realize a universal set of quantum gates. Feasible formalism implementation is suggested which uses nuclear spin-7/2 as a storage medium and radio frequency pulses as the gates. One pulse realization of all universal gates has been found, including three-qubit Toffoli gate.