Single-loop realization of universal nonadiabatic holonomic gates in decoherence-free subspaces

作     者：Wang, Chang Guo, Zhenping 

作者机构：Yanbian Univ Dept Phys Yanji 133002 Peoples R China 

出 版 物：《EPL》 (欧洲物理学快报)

年 卷 期：2018年第124卷第4期

页      面：40003-40003页

核心收录：

学科分类：07[理学] 0702[理学-物理学] 

基　　金：National Natural Science Foundation of China 

主　　题：Quantum computation architectures and implementations Quantum error correction and other methods for protection against decoherence Phases: geometric, dynamic or topological 

摘      要：Control errors and decoherence are two main obstacles for realization of quantum computation. Nonadiabatic holonomic quantum computation in decoherence-free subspaces can protect quantum gates from both control errors and decoherence, and, therefore, it has received increasing attention. The original protocol of nonadiabatic holonomic quantum computation in decoherence-free subspaces needs two loops in the Grassmann manifold to generate an arbitrary nonadiabatic holonomic one-qubit gate. In this paper, we proposed a protocol of nonadiabatic holonomic quantum computation in decoherence-free subspaces, where an arbitrary one-qubit gate is generated by only a single loop in the Grassmann manifold and an entangling two-qubit gate assisted by two single-qubit gates can be used to construct a two-qubit controlled unitary gate. In addition, the encoding of our protocol for nonadiabatic holonomic gates requires a lower number of physical qubits compared with previous schemes. Our scheme not only maintains the merits of the original protocol but it also avoids the extra work of combining two gates to realize an arbitrary one-qubit gate. Copyright (C) EPLA, 2018