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Quantum computing through electron propagation in edge states of quantum spin Hall systems
Authors:Wei?Chen,Zheng-Yuan?Xue,Z.D.?Wang,Rui?Shen  author-information"  >  author-information__contact u-icon-before"  >  mailto:shen@nju.edu.cn"   title="  shen@nju.edu.cn"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Ding Yu?Xing
Affiliation:1.National Laboratory of Solid State Microstructures and Departmentof Physics, Nanjing University,Nanjing,P.R.China;2.Department of Physics and Center of Theoretical and ComputationalPhysics,The University of Hong Kong,Hong Kong,P.R.China;3.Laboratory of Quantum Engineering and Quantum Materials, andSchool of Physics and Telecommunication Engineering, South China Normal University,Guangzhou,P.R.China
Abstract:We propose to implement quantum computing by the on-demand control of the wave packets propagation in helical edge channels of the quantum spin Hall systems (QSHs). Two non-commutative single-qubit gates are realized by the gate voltages applied on the edge channels. The two-qubit controlled phase gate is implemented by the capacitive Coulomb interaction between two adjacent edge channels from two parallel QSHs. A universal set of quantum gates thus can be realized in an all-electrical way. It is also shown that the fidelity and the purity of the controlled phase gate can reach a high value, with both the time delay and the finite width of the wave packets taken into account.
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