Methods for Simulating String-Net States and Anyons on a Digital Quantum Computer [PDF]
PRX Quantum, 2021 Finding physical realizations of topologically ordered states in experimental settings, from con-densed matter to artificial quantum systems, has been the main challenge en route to utilizing their unconventional properties. We show how to realize a large
Yu-Jie Liu +3 more
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Observation of ν = 5/2 Fractional Quantum Hall Effect in Trilayer Graphene Proximitized by V-Doped WSe<sub>2</sub>. [PDF]
Adv MaterEven‐denominator 5/2 fractional state in trilayer graphene/V‐doped WSe2 heterostructure, mediated by proximitized magnetism, is demonstrated. An exceptionally high energy gap ∆5/2 (48 K) for the 5/2 state, significantly surpassing previous values in semiconductors and bilayer graphene (∆5/2 < 1 K) is reported.
Ghising P +7 more
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Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors [PDF]
, 2023 Anyons are particles obeying statistics of neither bosons nor fermions. Non-Abelian anyons, whose exchanges are described by a non-Abelian group acting on a set of wave functions, are attracting a great attention because of possible applications to ...
Y. Masaki, T. Mizushima, M. Nitta
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Graph gauge theory of mobile non-Abelian anyons in a qubit stabilizer code [PDF]
Annals of Physics, 2022 Stabilizer codes allow for non-local encoding and processing of quantum information. Deformations of stabilizer surface codes introduce new and non-trivial geometry, in particular leading to emergence of long sought after objects known as projective ...
Y. Lensky +3 more
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Anyons in an exactly solved model and beyond [PDF]
, 2005 A spin-1/2 system on a honeycomb lattice is studied. The interactions between nearest neighbors are of XX, YY or ZZ type, depending on the direction of the link; different types of interactions may differ in strength.
A. Kitaev
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Engineering Yang-Lee anyons via Majorana bound states [PDF]
Physical review B, 2022 We propose the platform of a Yang-Lee anyon system which is constructed from Majorana bound states in topological superconductors. Yang-Lee anyons, described by the non-unitary conformal field theory with the central charge $c=-22/5$, are non-unitary ...
Takumi Sanno +3 more
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Fault tolerant quantum computation by anyons [PDF]
, 1997 A two-dimensional quantum system with anyonic excitations can be considered as a quantum computer. Unitary transformations can be performed by moving the excitations around each other.
Alexei Y. Kitaev
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Nonlocal Spin Correlation as a Signature of Ising Anyons Trapped in Vacancies of the Kitaev Spin Liquid. [PDF]
Physical Review Letters, 2022 In the Kitaev chiral spin liquid, Ising anyons are realized as Z_{2} fluxes binding Majorana zero modes, which, however, are thermal excitations with finite decay rates.
Masahiro Takahashi +4 more
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Non-Abelian Anyons and Topological Quantum Computation [PDF]
, 2007 Topological quantum computation has emerged as one of the most exciting approaches to constructing a fault-tolerant quantum computer. The proposal relies on the existence of topological states of matter whose quasiparticle excitations are neither bosons ...
C. Nayak +4 more
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Exact dynamical correlations of hard-core anyons in one-dimensional lattices [PDF]
Physical review B, 2022 The dynamical correlations of a strongly correlated system is an essential ingredient to describe its non-equilibrium properties. We present a general method to calculate exactly the dynamical correlations of hard-core anyons in one-dimensional lattices,
Qing-Wei Wang
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