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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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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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Thermodynamics of Statistical Anyons [PDF]
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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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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Squeezing anyons for braiding on small lattices [PDF]
Physical Review Research, 2021 Adiabatically exchanging anyons gives rise to topologically protected operations on the quantum state of the system, but the desired result is only achieved if the anyons are well separated, which requires a sufficiently large area.
N. S. Srivatsa +2 more
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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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Physical Review Letters, 1993 We propose a model of an anyon exciton consisting of a hole and several anyons, and apply it to the spectroscopy of an incompressible quantum liquid. Fractionalization of the electron charge makes properties of such entities quite different from those of usual magnetoexcitons.
Rashba, E.I., Portnoi, M.E.
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Anyonic quasiparticles of hardcore anyons [PDF]
Physical Review B, 2020 Strongly interacting topologically ordered many-body systems consisting of fermions or bosons can host exotic quasiparticles with anyonic statistics. This raises the question whether many-body systems of anyons can also form anyonic quasiparticles. Here, we show that one can, indeed, construct many-anyon wavefunctions with anyonic quasiparticles.
Julia Wildeboer +3 more
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Comparing Fractional Quantum Hall Laughlin and Jain Topological Orders with the Anyon Collider
Physical Review X, 2023 Anyon collision experiments have recently demonstrated the ability to discriminate between fermionic and anyonic statistics. However, only one type of anyons associated with the simple Laughlin state at filling factor ν=1/3 has been probed so far.
M. Ruelle +8 more
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