Quantum computation with hybrid parafermion-spin qubits

Autor:	Kurlov, Denis V., Luethi, Melina, Lotkov, Anatoliy I., Laubscher, Katharina, Klinovaja, Jelena, Loss, Daniel
Rok vydání:	2024
Předmět:	Condensed Matter - Mesoscale and Nanoscale Physics Quantum Physics
Druh dokumentu:	Working Paper
Popis:	We propose a universal set of single- and two-qubit quantum gates acting on a hybrid qubit formed by coupling a quantum dot spin qubit to a $\mathbb{Z}_{2m}$ parafermion qubit with arbitrary integer $m$. The special case $m=1$ reproduces the results previously derived for Majorana qubits. Our formalism utilizes Fock parafermions, facilitating a transparent treatment of hybrid parafermion-spin systems. Furthermore, we highlight the previously overlooked importance of particle-hole symmetry in these systems. We give concrete examples how the hybrid qubit system could be realized experimentally for $\mathbb{Z}_4$ and $\mathbb{Z}_6$ parafermions. In addition, we discuss a simple readout scheme for the fractional parafermion charge via the measurement of the spin qubit resonant frequency. Comment: 16 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.20950 Zobrazit plný text záznamu View this record from Arxiv