A Scheme for Simulation of Quantum Gates byAbelian Anyons |
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| Authors: | SHEN Yao AI Qing LONG Gui-Lu |
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| Institution: | State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing 100084, China;
Tsinghua National Laboratory for Information Science and Technology, Beijing 100084, China |
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| Abstract: | Anyons can be used to realize quantum computation, because they are two-level systems in two dimensions. In this paper, we propose a scheme to simulate single-qubit gates and CNOT gate using Abelian anyons in the Kitaev model. Two pairs of anyons (six spins) are used to realize single-qubit gates, while ten spins are needed for the CNOT gate. Based on these quantum gates, we show how to realize the Grover algorithm in a two-qubit system. |
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| Keywords: | fractional statistics anyon quantum gate |
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