Demonstration of Topological Robustness of Anyonic Braiding Statistics with a Superconducting Quantum Circuit - Details

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Anyons　are　quasiparticles　occurring　in　two　dimensions,　whose　topological　properties　are　believed　to　be　robust　against　local　perturbations　and　may　hold　promise　for　fault　tolerant　quantum　computing.　Here　we　present　an　experiment　of　demonstrating　the　path　independent　nature　of　anyonic　braiding　statistics　with　a　superconducting　quantum　circuit,　which　represents　a　7-qubit　version　of　the　toric　code　model.　We　dynamically　create　the　ground　state　of　the　model,　achieving　a　state　fidelity　of　0.688±0.015　as　verified　by　quantum　state　tomography.　Anyonic　excitations　and　braiding　operations　are　subsequently　implemented　with　single-qubit　rotations.　The　braiding　robustness　is　witnessed　by　looping　an　anyonic　excitation　around　another　one　along　two　distinct,　but　topologically　equivalent　paths:　Both　reveal　the　nontrivial　π-phase　shift,　the　hallmark　of　Abelian　1/2　anyons,　with　a　phase　accuracy　of　∼99%　in　the　Ramsey-type　interference　measurement.　©　2018　American　Physical　Society.

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Ground state Quantum computers Quantum optics Timing circuits Topology

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[ 1 ] [Song, Chao]Department of Physics, Zhejiang University, Hangzhou, Zhejiang; 310027, China
[ 2 ] [Song, Chao]CAS Ctr. for Excellence and Synergetic Innovation Centre in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui; 230026, China
[ 3 ] [Xu, Da]Department of Physics, Zhejiang University, Hangzhou, Zhejiang; 310027, China
[ 4 ] [Zhang, Pengfei]Department of Physics, Zhejiang University, Hangzhou, Zhejiang; 310027, China
[ 5 ] [Wang, Jianwen]CAS Ctr. for Excellence and Synergetic Innovation Centre in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui; 230026, China
[ 6 ] [Guo, Qiujiang]Department of Physics, Zhejiang University, Hangzhou, Zhejiang; 310027, China
[ 7 ] [Liu, Wuxin]Department of Physics, Zhejiang University, Hangzhou, Zhejiang; 310027, China
[ 8 ] [Xu, Kai]Department of Physics, Zhejiang University, Hangzhou, Zhejiang; 310027, China
[ 9 ] [Deng, Hui]CAS Ctr. for Excellence and Synergetic Innovation Centre in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui; 230026, China
[ 10 ] [Huang, Keqiang]Institute of Physics, Chinese Academy of Sciences, Beijing; 100190, China
[ 11 ] [Huang, Keqiang]School of Physical Sciences, University of Chinese Academy of Sciences, Beijing; 100049, China
[ 12 ] [Zheng, Dongning]Institute of Physics, Chinese Academy of Sciences, Beijing; 100190, China
[ 13 ] [Zheng, Dongning]School of Physical Sciences, University of Chinese Academy of Sciences, Beijing; 100049, China
[ 14 ] [Zheng, Shi-Biao]Fujian Key Laboratory of Quantum Information and Quantum Optics, College of Physics and Information Engineering, Fuzhou University, Fuzhou, Fujian; 350116, China
[ 15 ] [Wang, H.]Department of Physics, Zhejiang University, Hangzhou, Zhejiang; 310027, China
[ 16 ] [Wang, H.]CAS Ctr. for Excellence and Synergetic Innovation Centre in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui; 230026, China
[ 17 ] [Zhu, Xiaobo]CAS Ctr. for Excellence and Synergetic Innovation Centre in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui; 230026, China
[ 18 ] [Zhu, Xiaobo]Shanghai Branch, National Laboratory for Physical Sciences at Microscale, Department of Modern Physics, University of Science and Technology of China, Shanghai; 201315, China
[ 19 ] [Zhu, Xiaobo]CAS-Alibaba Quantum Computing Laboratory, Shanghai; 201315, China
[ 20 ] [Lu, Chao-Yang]CAS Ctr. for Excellence and Synergetic Innovation Centre in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui; 230026, China
[ 21 ] [Lu, Chao-Yang]Shanghai Branch, National Laboratory for Physical Sciences at Microscale, Department of Modern Physics, University of Science and Technology of China, Shanghai; 201315, China
[ 22 ] [Lu, Chao-Yang]CAS-Alibaba Quantum Computing Laboratory, Shanghai; 201315, China
[ 23 ] [Pan, Jian-Wei]CAS Ctr. for Excellence and Synergetic Innovation Centre in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui; 230026, China
[ 24 ] [Pan, Jian-Wei]Shanghai Branch, National Laboratory for Physical Sciences at Microscale, Department of Modern Physics, University of Science and Technology of China, Shanghai; 201315, China
[ 25 ] [Pan, Jian-Wei]CAS-Alibaba Quantum Computing Laboratory, Shanghai; 201315, China

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Source ：

Physical Review Letters

ISSN： 0031-9007

Year： 2018

Issue： 3

Volume： 121

9 . 2 2 7

JCR@2018

8 . 1 0 0

JCR@2023

ESI HC Threshold：158

JCR Journal Grade：1

CAS Journal Grade：1

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ESI Highly Cited Papers on the List： 0 Unfold All

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30 Days PV： 0

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