Critical faults of leakage errors on the surface code

作     者：Brown, Natalie C. Cross, Andrew W. Brown, Kenneth R. 

作者机构：School of Physics Georgia Institute of Technology AtlantaGA United States IBM T. J. Watson Research Center Yorktown HeightsNY United States Schools of Chemistry and Biochemistry and Computational Science and Engineering Georgia Institute of Technology AtlantaGA United States Departments of Electrical and Computer Engineering Chemistry and Physics Duke University DurhamNC United States 

出 版 物：《arXiv》 (arXiv)

年 卷 期：2020年

核心收录：

主　　题：Qubits 

摘      要：Leakage is a particularly damaging error that occurs when a qubit leaves the defined computational subspace. Leakage errors limit the effectiveness of quantum error correcting codes by spreading additional errors to other qubits and corrupting syndrome measurements. The effects of leakage errors on the surface code has been studied in various contexts. However, the effects of a leaked data qubit versus a leaked ancilla qubit can be quite different. Here, we study the effects of data leakage and ancilla leakage separately. We show that data leakage is much less damaging. We show that the surface code maintains its distance in the presence of leakage by either confining leakage to data qubits or eliminating ancilla qubit leakage at the critical fault location. We also introduce new techniques for handling leakage by using gates with one-sided leakage and by mixing two types of leakage reducing circuits: one to handle data leakage and one to handle ancilla leakage. Copyright © 2020, The Authors. All rights reserved.