摘要
Quantum computers are in hot-spot with the potential to handle more complex problems than classical computers can.Realizing the quantum computation requires the universal quantum gate set {T,H,CNOT} so as to perform any unitary transformation with arbitrary accuracy.Here we first briefly review the Majorana fermions and then propose the realization of arbitrary two-qubit quantum gates based on chiral Majorana fermions.Elementary cells consist of a quantum anomalous Hall insulator surrounded by a topological superconductor with electric gates and quantum-dot structures,which enable the braiding operation and the partial exchange operation.After defining a qubit by four chiral Majorana fermions,the singlequbit T and H quantum gates are realized via one partial exchange operation and three braiding operations,respectively.The entangled CNOT quantum gate is performed by braiding six chiral Majorana fermions.Besides,we design a powerful device with which arbitrary two-qubit quantum gates can be realized and take the quantum Fourier transform as an example to show that several quantum operations can be performed with this space-limited device.Thus,our proposal could inspire further utilization of mobile chiral Majorana edge states for faster quantum computation.
作者
Qing Yan
Qing-Feng Sun
闫青;孙庆丰(International Center for Quantum Materials,School of Physics,Peking University,Beijing 100871,China;CAS Center for Excellence in Topological Quantum Computation,University of Chinese Academy of Sciences,Beijing 100190,China;Collaborative Innovation Center of Quantum Matter,Beijing 100871,China;Beijing Academy of Quantum Information Sciences,Beijing 100193,China)
基金
Project supported by the National Key R&D Program of China(Grant No.2017YFA0303301)
the National Natural Science Foundation of China(Grant No.11921005)
the Strategic Priority Research Program of Chinese Academy of Sciences(Grant No.XDB28000000)
Beijing Municipal Science&Technology Commission,China(Grant No.Z191100007219013)。
