Parafermions in a Kagome Lattice of Qubits for Topological Quantum Computation
Physical Review X, 2015 Engineering complex non-Abelian anyon models with simple physical systems is crucial for topological quantum computation. Unfortunately, the simplest systems are typically restricted to Majorana zero modes (Ising anyons). Here, we go beyond this barrier,
Adrian Hutter +2 more
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Simulation of anyonic statistics and its topological path independence using a seven-qubit quantum simulator [PDF]
New Journal of Physics, 2016 Anyons, quasiparticles living in two-dimensional spaces with exotic exchange statistics, can serve as the fundamental units for fault-tolerant quantum computation.
Annie Jihyun Park +3 more
doaj +4 more sources
Introduction to topological quantum computation with non-Abelian anyons [PDF]
Quantum Science and Technology, 2018 Topological quantum computers promise a fault tolerant means to perform quantum computation. Topological quantum computers use particles with exotic exchange statistics called non-Abelian anyons, and the simplest anyon model which allows for universal ...
Bernard Field, T. Simula
semanticscholar +3 more sources
Ground-state properties of anyons in a one-dimensional lattice
New Journal of Physics, 2015 Using the Anyon–Hubbard Hamiltonian, we analyze the ground-state properties of anyons in a one-dimensional lattice. To this end we map the hopping dynamics of correlated anyons to an occupation-dependent hopping Bose–Hubbard model using the fractional ...
Guixin Tang +2 more
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Efficient Preparation of Solvable Anyons with Adaptive Quantum Circuits
Physical Review XThe classification of topological phases of matter is a fundamental challenge in quantum many-body physics, with applications to quantum technology. Recently, this classification has been extended to the setting of adaptive finite-depth local unitary ...
Yuanjie Ren +2 more
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Digital Simulation of Projective Non-Abelian Anyons with 68 Superconducting Qubits [PDF]
Chinese Physics Letters, 2022 Non-Abelian anyons are exotic quasiparticle excitations hosted by certain topological phases of matter. They break the fermion-boson dichotomy and obey non-Abelian braiding statistics: their interchanges yield unitary operations, rather than merely a ...
Shibo Xu +33 more
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Universal quantum computation using Ising anyons from a non-semisimple topological quantum field theory. [PDF]
Nat CommunWe propose a framework for topological quantum computation using newly discovered non-semisimple analogs of topological quantum field theories in 2 + 1 dimensions. These enhanced theories offer more powerful models for quantum computation.
Iulianelli F, Kim S, Sussan J, Lauda AD.
europepmc +2 more sources
Identifying non-Abelian anyons with upstream noise [PDF]
Physical review B, 2023 Non-Abelian phases are among the most highly-sought states of matter, with those whose anyons permit universal quantum gates constituting the ultimate prize.
Misha Yutushui, David F. Mross
semanticscholar +1 more source
Partitioning of diluted anyons reveals their braiding statistics [PDF]
Nature, 2022 A simple experimental method identifies the statistical phase of highly diluted abelian anyons weakly partitioned in fractional quantum Hall states and reveals their braiding statistics.
Juneseo Lee +7 more
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Manipulating Non-Abelian Anyons in a Chiral Multichannel Kondo Model. [PDF]
Physical Review Letters, 2022 Non-Abelian anyons are fractional excitations of gapped topological models believed to describe certain topological superconductors or quantum Hall states.
M. Lotem, E. Sela, M. Goldstein
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