Universal non-adiabatic holonomic gates in quantum dots and single-molecule magnets

Carlo M Canali,Erik Sjöqvist,Vahid Azimi Mousolou

doi:10.1088/1367-2630/16/1/013029

Abstract

Geometric manipulation of a quantum system offers a method for fast, universal and robust quantum information processing. Here, we propose a scheme for universal all-geometric quantum computation using non-adiabatic quantum holonomies. We propose three different realizations of the scheme based on an unconventional use of quantum dot and single-molecule magnet devices, which offer promising scalability and robust efficiency.

Highlights

Holonomic quantum computation (HQC), originally conceived by Zanardi and Rasetti [1], has become one of the key approaches to perform robust quantum computation
We illustrate how non-adiabatic holonomic gates in our scheme can be implemented in solid state devices consisting of few-electron quantum dots [14] and single-molecule magnets (SMMs) [15], which are promising candidates for quantum computation [16,17,18,19]
We have introduced a scheme to implement high-speed universal holonomic quantum gates that considerably differs from the other setups proposed for HQC

Summary

Introduction

Holonomic quantum computation (HQC), originally conceived by Zanardi and Rasetti [1], has become one of the key approaches to perform robust quantum computation. The idea of HQC is based on the Wilczek–Zee holonomy [2] that generalizes the Berry phase [3] to non-Abelian (non-commuting) geometric phases accompanying adiabatic evolution It was shown in [1] that adiabatic quantum holonomies generically allow for universal quantum computation. Universal HQC based on Anandan’s non-adiabatic non-Abelian geometric phase [7] has been proposed [8] This scheme allows for high-speed implementations of quantum. We illustrate how non-adiabatic holonomic gates in our scheme can be implemented in solid state devices consisting of few-electron quantum dots [14] and single-molecule magnets (SMMs) [15], which are promising candidates for quantum computation [16,17,18,19].

Non-adiabatic quantum holonomy

Coupled quantum dots

Single-molecule magnet

Scalability

Findings

Conclusions