631 citations · 4.1k across the 52 of their papers we have counts for
10 papers · 1 filter
Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
Torsten Karzig, Christina Knapp, Roman M. Lutchyn +9
We present designs for scalable quantum computers composed of qubits encoded in aggregates of four or more Majorana zero modes, realized at the ends of topological superconducting…
How quickly can anyons be braided? Or: How I learned to stop worrying about diabatic errors and love the anyon
Christina Knapp, Michael Zaletel, Dong E. Liu +3
Topological phases of matter are a potential platform for the storage and processing of quantum information with intrinsic error rates that decrease exponentially with inverse temp…
Screening Behavior and Scaling Exponents from Quantum Hall Wavefunctions
B. Andrei Bernevig, Parsa Bonderson, Nicolas Regnault
We provide a robust and generic method to assess the screening properties and extract the scaling exponents of quasiparticle edge excitations of quantum Hall states from model wave…
Real-Space Entanglement Spectrum of Quantum Hall States
A. Sterdyniak, A. Chandran, N. Regnault +2
We investigate the entanglement spectra arising from sharp real-space partitions of the system for quantum Hall states. These partitions differ from the previously utilized orbital…
Hierarchical Nature of the Quantum Hall Effects
Parsa Bonderson
I demonstrate that the wavefunction for a nu = n+ tilde{nu} quantum Hall state with Landau levels 0,1,...,n-1 filled and a filling fraction tilde{nu} quantum Hall state with 0 < ti…
The non-Abelian Interferometer
Waheb Bishara, Parsa Bonderson, Chetan Nayak +2
We consider the tunneling current through a double point-contact Fabry-Perot interferometer such as used in recent experimental studies of the fractional quantum Hall plateau at fi…
Competing Topological Orders in the nu=12/5 Quantum Hall State
Parsa Bonderson, Adrian E. Feiguin, Gunnar Moller +1
We provide numerical evidence that a p_{x}-i p_{y} paired Bonderson--Slingerland (BS) non-Abelian hierarchy state is a strong candidate for the observed nu=12/5 quantum Hall platea…
Fractional Quantum Hall Hierarchy and the Second Landau Level
Parsa Bonderson, J. K. Slingerland
We generalize the fractional quantum Hall hierarchy picture to apply to arbitrary, possibly non-Abelian, fractional quantum Hall states. Applying this to the nu = 5/2 Moore-Read st…
Probing Non-Abelian Statistics with QuasiParticle Interferometry
Parsa Bonderson, Kirill Shtengel, J. K. Slingerland
We examine interferometric experiments in systems that exhibit non-Abelian braiding statistics, expressing outcomes in terms of the modular S-matrix. In particular, this result app…
Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
Parsa Bonderson, Alexei Kitaev, Kirill Shtengel
In this letter we propose an interferometric experiment to detect non-Abelian quasiparticle statistics -- one of the hallmark characteristics of the Moore-Read state expected to de…