Properties of Majorana fermion codes

马约拉纳费米子码的性质

• 批准号: 2267860
• 金额: --
• 依托单位: University of Cambridge
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2019
• 资助国家: 英国
• 起止时间: 2019 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2267860
• 关键词: Properties; Majorana; fermion; codes

Topological quantum error-correcting codes are most often built out of qubits as elementary ingredients and hence are bosonic. In this project, we aim to study the properties of a complementary class of codes built out of Majorana fermions. These codes are fermionic, and they can in some sense be viewed as square roots of certain types of bosonic quantum codes and in some other sense as fermion-enriched double copies of different types of bosonic quantum codes. We shall investigate how such Majorana fermion codes establish new relations between the aforementioned bosonic code types as well as new features that have no bosonic counterparts.

拓扑量子纠错码通常是由量子比特作为基本成分构建的，因此是玻色子。在这个项目中，我们的目标是研究一类互补码的马约拉纳费米子建成的属性。这些代码是费米子的，在某种意义上它们可以被看作是某些类型玻色子量子代码的平方根，在另一种意义上它们可以被看作是不同类型玻色子量子代码的费米子丰富的双拷贝。我们将研究如何建立新的关系，如马约拉纳费米子码上述玻色子代码类型以及新的功能，没有玻色子对应。

项目成果

Fermion-Parity-Based Computation and Its Majorana-Zero-Mode Implementation.

• DOI: 10.1103/physrevlett.128.180504
• 发表时间: 2021-10
• 期刊: Physical review letters
• 影响因子: 8.6
• 作者: Campbell K. McLauchlan;B. B'eri