title: Non-adiabatic holonomic quantum computation in linear system-bath coupling.
abstract: Non-adiabatic holonomic quantum computation in decoherence-free subspaces protects quantum information from control imprecisions and decoherence. For the non-collective decoherence that each qubit has its own bath, we show the implementations of two non-commutable holonomic single-qubit gates and one holonomic nontrivial two-qubit gate that compose a universal set of non-adiabatic holonomic quantum gates in decoherence-free-subspaces of the decoupling group, with an encoding rate of (N - 2)/N. The proposed scheme is robust against control imprecisions and the non-collective decoherence, and its non-adiabatic property ensures less operation time. We demonstrate that our proposed scheme can be realized by utilizing only two-qubit interactions rather than many-qubit interactions. Our results reduce the complexity of practical implementation of holonomic quantum computation in experiments. We also discuss the physical implementation of our scheme in coupled microcavities.
authors: School of Physics, Northeast Normal University, Changchun 130024, People's Republic of China.
authors: Chunfang
authors: C
authors: Sun
authors: School of Physics, Northeast Normal University, Changchun 130024, People's Republic of China.
authors: Gangcheng
authors: G
authors: Wang
authors: Pillar of Engineering Product Development, Singapore University of Technology and Design, 8 Somapah Road, Singapore 487372.
authors: Chunfeng
authors: C
authors: Wu
authors: School of Physics, Northeast Normal University, Changchun 130024, People's Republic of China.
authors: Haodi
authors: H
authors: Liu
authors: Department of Physcis, Shanghai Normal University, Shanghai 200234, People's Republic of China.
authors: Xun-Li
authors: XL
authors: Feng
authors: Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071, People's Republic of China.|Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543.
authors: Jing-Ling
authors: JL
authors: Chen
authors: School of Physics, Northeast Normal University, Changchun 130024, People's Republic of China.
authors: Kang
authors: K
authors: Xue