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• W4309398518 abstract "Non-Abelian anyons are exotic quasiparticle excitations hosted by certain topological phases of matter [1-2]. They break the fermion-boson dichotomy and obey non-Abelian braiding statistics [3-5]: their interchanges yield unitary operations, rather than merely a phase factor, in a space spanned by topologically degenerate wavefunctions. They are the building blocks of topological quantum computing [1, 6-9]. However, experimental observation of non-Abelian anyons and their characterizing braiding statistics have remained elusive hitherto, in spite of various theoretical proposals [10-21]. Here, we report such an observation with up to 68 programmable superconducting qubits arranged on a two-dimensional lattice. By implementing the toric-code model with twists through quantum circuits, we demonstrate that twists exchange electric and magnetic charges and behave as a particular type of non-Abelian anyons -- the Ising anyons. In particular, we show experimentally that these anyons follow the fusion rules and non-Abelian braiding statistics of the Ising type, and can indeed be used to encode topological logical qubits. Furthermore, we demonstrate how to implement both single- and two-qubit logical gates through applying a sequence of elementary Pauli gates on the underlying physical qubits and then measuring some nonlocal observables. Our results establish a versatile digital approach to realize and manipulate non-Abelian anyons, thus paving an alternative way to topological quantum computing." @default.
• W4309398518 created "2022-11-26" @default.
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• W4309398518 date "2022-11-17" @default.
• W4309398518 modified "2023-09-27" @default.
• W4309398518 title "Digital simulation of non-Abelian anyons with 68 programmable superconducting qubits" @default.
• W4309398518 doi "https://doi.org/10.48550/arxiv.2211.09802" @default.
• W4309398518 hasPublicationYear "2022" @default.
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