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Quantum computation with hybrid parafermion-spin qubits

Denis V. Kurlov1, Melina Luethi1,*, Anatoliy I. Lotkov1,*, Katharina Laubscher2, Jelena Klinovaja1, and Daniel Loss1

  • *These authors contributed equally to this work.
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Phys. Rev. Research 7, 033192 – Published 25 August, 2025

DOI: https://doi.org/10.1103/7cd9-c7yc

Abstract

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 Z2m 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 Z4 and Z6 parafermions. In addition, we discuss a simple readout scheme for the fractional parafermion charge via the measurement of the spin-qubit resonant frequency.

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Phys. Rev. Research 7, 033192– Published 25 August, 2025
  • Received 9 July 2024
  • Accepted 8 July 2025
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