Non-Abelian Anyons and Interferometry

By Parsa Bonderson. 2007

170 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/08e749d8c47a9de13a1b532cfc7b717356c66739

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. J. Alicea
2. Xie Chen
3. Ashvin Vishwanath
4. Matthew Fisher
5. P. Fendley
6. Lukasz Fidkowski
7. C. Nayak
8. A. Stern

In Atomic and Molecular Physics, and Optics

1. Ashvin Vishwanath
2. J. Alicea
3. C. Nayak
4. P. Fendley
5. N. Lindner
6. A. Stern
7. Matthew Fisher
8. Roger S. K. Mong

Citations in the corpus

• Milestones toward Majorana-based quantum computing (2015, unknown): “[107] Parsa Bonderson, Non-Abelian Anyons and Interferometry, Ph.”
• Quantum Hall physics : Hierarchies and conformal field theory techniques (2016, background): “…list of properties provides a working definition of topological order, but there are also formal definitions in terms of modular tensor chategories (Bonderson, 2007; Kitaev, 2003; Wang, 2010) 4 The filling fraction ν is the number of complete Landau levels filled, see Appendix A. 4 2003) as well…”
• Non-Abelian Topological Order on the Surface of a 3D Topological Superconductor from an Exactly Solved Model (2013, methodology): “In our analysis we will need more information about the fusion and braiding, however: the data that enters the WW Hamiltonian requires the F and R symbols, which describe associativity of fusion (a quantum analogue of Clebsch-Gordon coefficients) and exchange of an arbitrary pair of quasiparticles, ”
• Topological defects on the lattice: I. The Ising model (2016, background): “This common structure is known as a fusion category, and arises in studies of rational conformal field theory, anyonic particles, and topological quantum field theory [39]; for reviews relevant to our story, see [13, 40, 41].”
• Universal topological quantum computation from a superconductor/Abelian quantum Hall heterostructure (2013, background): “First, the Abelian Z3 TQFT technically does not quite describe the spin-unpolarized ν = 2/3 state: the theory must be augmented to accommodate the electron in this fermionic quantum Hall phase [156].”