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Experimental quantum simulation of a topologically protected Hadamard gate via braiding Fibonacci anyons
Topological quantum computation (TQC) is one of the most striking architectures that can realize fault-tolerant quantum computers. In TQC, the logical space and the quantum gates are topologically protected, i.e., robust against local disturbances. The topological protection, however, requires compl...
Autores principales: | , , , , , , , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Elsevier
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10407541/ https://www.ncbi.nlm.nih.gov/pubmed/37560329 http://dx.doi.org/10.1016/j.xinn.2023.100480 |
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author | Fan, Yu-ang Li, Yingcheng Hu, Yuting Li, Yishan Long, Xinyue Liu, Hongfeng Yang, Xiaodong Nie, Xinfang Li, Jun Xin, Tao Lu, Dawei Wan, Yidun |
author_facet | Fan, Yu-ang Li, Yingcheng Hu, Yuting Li, Yishan Long, Xinyue Liu, Hongfeng Yang, Xiaodong Nie, Xinfang Li, Jun Xin, Tao Lu, Dawei Wan, Yidun |
author_sort | Fan, Yu-ang |
collection | PubMed |
description | Topological quantum computation (TQC) is one of the most striking architectures that can realize fault-tolerant quantum computers. In TQC, the logical space and the quantum gates are topologically protected, i.e., robust against local disturbances. The topological protection, however, requires complicated lattice models and hard-to-manipulate dynamics; even the simplest system that can realize universal TQC—the Fibonacci anyon system—lacks a physical realization, let alone braiding the non-Abelian anyons. Here, we propose a disk model that can simulate the Fibonacci anyon system and construct the topologically protected logical spaces with the Fibonacci anyons. Via braiding the Fibonacci anyons, we can implement universal quantum gates on the logical space. Our disk model merely requires two physical qubits to realize three Fibonacci anyons at the boundary. By 15 sequential braiding operations, we construct a topologically protected Hadamard gate, which is to date the least-resource requirement for TQC. To showcase, we implement a topological Hadamard gate with two nuclear spin qubits, which reaches [Formula: see text] fidelity by randomized benchmarking. We further prove by experiment that the logical space and Hadamard gate are topologically protected: local disturbances due to thermal fluctuations result in a global phase only. As a platform-independent proposal, our work is a proof of principle of TQC and paves the way toward fault-tolerant quantum computation. |
format | Online Article Text |
id | pubmed-10407541 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | Elsevier |
record_format | MEDLINE/PubMed |
spelling | pubmed-104075412023-08-09 Experimental quantum simulation of a topologically protected Hadamard gate via braiding Fibonacci anyons Fan, Yu-ang Li, Yingcheng Hu, Yuting Li, Yishan Long, Xinyue Liu, Hongfeng Yang, Xiaodong Nie, Xinfang Li, Jun Xin, Tao Lu, Dawei Wan, Yidun Innovation (Camb) Article Topological quantum computation (TQC) is one of the most striking architectures that can realize fault-tolerant quantum computers. In TQC, the logical space and the quantum gates are topologically protected, i.e., robust against local disturbances. The topological protection, however, requires complicated lattice models and hard-to-manipulate dynamics; even the simplest system that can realize universal TQC—the Fibonacci anyon system—lacks a physical realization, let alone braiding the non-Abelian anyons. Here, we propose a disk model that can simulate the Fibonacci anyon system and construct the topologically protected logical spaces with the Fibonacci anyons. Via braiding the Fibonacci anyons, we can implement universal quantum gates on the logical space. Our disk model merely requires two physical qubits to realize three Fibonacci anyons at the boundary. By 15 sequential braiding operations, we construct a topologically protected Hadamard gate, which is to date the least-resource requirement for TQC. To showcase, we implement a topological Hadamard gate with two nuclear spin qubits, which reaches [Formula: see text] fidelity by randomized benchmarking. We further prove by experiment that the logical space and Hadamard gate are topologically protected: local disturbances due to thermal fluctuations result in a global phase only. As a platform-independent proposal, our work is a proof of principle of TQC and paves the way toward fault-tolerant quantum computation. Elsevier 2023-07-13 /pmc/articles/PMC10407541/ /pubmed/37560329 http://dx.doi.org/10.1016/j.xinn.2023.100480 Text en © 2023 The Authors https://creativecommons.org/licenses/by-nc-nd/4.0/This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). |
spellingShingle | Article Fan, Yu-ang Li, Yingcheng Hu, Yuting Li, Yishan Long, Xinyue Liu, Hongfeng Yang, Xiaodong Nie, Xinfang Li, Jun Xin, Tao Lu, Dawei Wan, Yidun Experimental quantum simulation of a topologically protected Hadamard gate via braiding Fibonacci anyons |
title | Experimental quantum simulation of a topologically protected Hadamard gate via braiding Fibonacci anyons |
title_full | Experimental quantum simulation of a topologically protected Hadamard gate via braiding Fibonacci anyons |
title_fullStr | Experimental quantum simulation of a topologically protected Hadamard gate via braiding Fibonacci anyons |
title_full_unstemmed | Experimental quantum simulation of a topologically protected Hadamard gate via braiding Fibonacci anyons |
title_short | Experimental quantum simulation of a topologically protected Hadamard gate via braiding Fibonacci anyons |
title_sort | experimental quantum simulation of a topologically protected hadamard gate via braiding fibonacci anyons |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10407541/ https://www.ncbi.nlm.nih.gov/pubmed/37560329 http://dx.doi.org/10.1016/j.xinn.2023.100480 |
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