Emulating Anyonic Fractional Statistical Behavior in a Superconducting Quantum Circuit.
Anyons are exotic quasiparticles obeying fractional statistics, whose behavior can be emulated in artificially designed spin systems. Here we present an experimental emulation of creating anyonic excitations in a superconducting circuit that consists of four qubits, achieved by dynamically generating the ground and excited states of the toric code model, i.e., four-qubit Greenberger-Horne-Zeilinger states. The anyonic braiding is implemented via single-qubit rotations: a phase shift of π related to braiding, the hallmark of Abelian 1/2 anyons, has been observed through a Ramsey-type interference measurement.
Department of Physics, Zhejiang University, Hangzhou, Zhejiang 310027, China.|CAS Center for Excellence and Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China.
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Zhong
Department of Physics, Zhejiang University, Hangzhou, Zhejiang 310027, China.
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D
Xu
Department of Physics, Zhejiang University, Hangzhou, Zhejiang 310027, China.
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Wang
Department of Physics, Zhejiang University, Hangzhou, Zhejiang 310027, China.
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Song
Department of Physics, Zhejiang University, Hangzhou, Zhejiang 310027, China.
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Guo
Department of Physics, Zhejiang University, Hangzhou, Zhejiang 310027, China.
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Liu
Department of Physics, Zhejiang University, Hangzhou, Zhejiang 310027, China.
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Xu
CAS Center for Excellence and Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China.
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Xia
CAS Center for Excellence and Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China.|CAS-Alibaba Quantum Computing Laboratory, Shanghai 201315, China.
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Lu
Department of Physics and Astronomy, University of Kansas, Lawrence, Kansas 66045, USA.
Siyuan
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Han
CAS Center for Excellence and Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China.|CAS-Alibaba Quantum Computing Laboratory, Shanghai 201315, China.
Jian-Wei
JW
Pan
Department of Physics, Zhejiang University, Hangzhou, Zhejiang 310027, China.|CAS Center for Excellence and Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China.
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Wang