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Exotic non-abelian anyons from conventional fractional quantum Hall states.
A device fabricated from conventional fractional quantum Hall states and s-wave superconductors that supports exotic non-defects binding parafermionic zero modes, which generalize Majorana bound states are introduced.
Universal topological quantum computation from a superconductor/Abelian quantum Hall heterostructure
Non-Abelian anyons promise to reveal spectacular features of quantum mechanics that could ultimately provide the foundation for a decoherence-free quantum computer. A key breakthrough in the pursuit…
A class of P,T-invariant topological phases of interacting electrons
Abstract We describe a class of parity- and time-reversal-invariant topological states of matter which can arise in correlated electron systems in 2+1-dimensions. These states are characterized by…
Spin transfer of quantum information between Majorana modes and a resonator.
We show that resonant coupling and entanglement between a mechanical resonator and Majorana bound states can be achieved via spin currents in a 1D quantum wire with strong spin-orbit interactions.…
Implementing arbitrary phase gates with Ising anyons.
- Parsa Bonderson, D. Clarke, C. Nayak, K. Shtengel
- Physics, MedicinePhysical review letters
- 13 November 2009
This work proposes a method of implementing arbitrary single-qubit phase gates for Ising anyons by running a current of anyons with interfering paths around computational anyons.
Kinetic ferromagnetism on a kagome lattice.
An effective Hamiltonian is derived and it is shown, with the help of the Perron-Frobenius theorem, that the system is ferromagnetic at low temperatures.
Extended hubbard model with ring exchange: a route to a non-Abelian topological phase.
An extended Hubbard model on a 2D kagome lattice with an additional ring exchange term is proposed and it is shown how to arrive at an exactly soluble point whose ground state is the "d-isotopy" transition point into a stable phase with a certain type of non-Abelian topological order.
Decoherence of anyonic charge in interferometry measurements.
It is found that superpositions of distinct anyonic charges a and a' in the target decohere are found when the probes have nontrivial monodromy with the charges that may be fused with a to give a'.
Probing Non-Abelian Statistics in the $\nu=5/2$ Fractional Quantum Hall State
Coulomb blockade doppelgängers in quantum Hall states
In this paper, we ask the question: how well can Coulomb blockade experiments correctly identify and distinguish between different topological orders in quantum Hall states? We definitively find the…