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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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Realizing string-net condensation: Fibonacci anyon braiding for universal gates and sampling chromatic polynomials [PDF]
Nature CommunicationsThe remarkable complexity of a topologically ordered many-body quantum system is encoded in the characteristics of its anyons. Quintessential predictions emanating from this complexity employ the Fibonacci string net condensate (Fib SNC) and its anyons ...
Zlatko K. Minev +7 more
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Non-Abelian anyon collider [PDF]
Nature Communications, 2022 Colliders are used to probe particles’ quantum statistical properties. Now, a theoretical proposal for a collider for anyons (a type of topological quasiparticles occurring in 2D systems) is reported, which can be used to explore the braiding statistics ...
June-Young M. Lee, H.-S. Sim
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Thermodynamics of Statistical Anyons
PRX Quantum, 2021 In low-dimensional systems, indistinguishable particles can display statistics that interpolate between bosons and fermions. Signatures of these “anyons” have been detected in two-dimensional quasiparticle excitations of the fractional quantum Hall ...
Nathan M Myers, Sebastian Deffner
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Experimental quantum simulation of a topologically protected Hadamard gate via braiding Fibonacci anyons [PDF]
The Innovation, 2023 Topological quantum computation (TQC) is one of the most striking architectures that can realize fault-tolerant quantum computers. In TQC, the logical space and the quantum gates are topologically protected, i.e., robust against local disturbances.
Yu-ang Fan +11 more
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Interacting Fibonacci anyons in a Rydberg gas
Physical Review A, 2012 A defining property of particles is their behavior under exchange. In two dimensions anyons can exist which, opposed to fermions and bosons, gain arbitrary relative phase factors or even undergo a change of their type.
Igor Lesanovsky, Hosho Katsura
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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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Topological Order with a Twist: Ising Anyons from an Abelian Model
Physical Review Letters, 2010 Anyon models can be symmetric under some permutations of their topological charges. One can then conceive topological defects that, under monodromy, transform anyons according to a symmetry.
Bombin, H.
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Nano-photoluminescence of natural anyon molecules and topological quantum computation [PDF]
Scientific Reports, 2021 The proposal of fault-tolerant quantum computations, which promise to dramatically improve the operation of quantum computers and to accelerate the development of the compact hardware for them, is based on topological quantum field theories, which rely ...
Alexander M. Mintairov +5 more
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Signature of anyonic statistics in the integer quantum Hall regime [PDF]
Nature CommunicationsAnyons are exotic low-dimensional quasiparticles whose unconventional quantum statistics extend the binary particle division into fermions and bosons. The fractional quantum Hall regime provides a natural host, with the first convincing anyon signatures ...
P. Glidic +10 more
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