Quantum computation with hybrid parafermion-spin qubits
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arXiv
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| Format: | Preprint |
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2024
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| author | Kurlov, Denis V. Luethi, Melina Lotkov, Anatoliy I. Laubscher, Katharina Klinovaja, Jelena Loss, Daniel |
| author_facet | Kurlov, Denis V. Luethi, Melina Lotkov, Anatoliy I. Laubscher, Katharina Klinovaja, Jelena Loss, Daniel |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_20950 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum computation with hybrid parafermion-spin qubits Kurlov, Denis V. Luethi, Melina Lotkov, Anatoliy I. Laubscher, Katharina Klinovaja, Jelena Loss, Daniel Mesoscale and Nanoscale Physics Quantum Physics 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. |
| title | Quantum computation with hybrid parafermion-spin qubits |
| topic | Mesoscale and Nanoscale Physics Quantum Physics |
| url | https://arxiv.org/abs/2405.20950 |