Results 101 to 110 of about 1,931 (218)

Fractionalizing Majorana Fermions: Non-Abelian Statistics on the Edges of Abelian Quantum Hall States

Physical Review X, 2012
We study the non-Abelian statistics characterizing systems where counterpropagating gapless modes on the edges of fractional quantum Hall states are gapped by proximity coupling to superconductors and ferromagnets. The most transparent example is that of
Netanel H. Lindner, Erez Berg, Gil Refael, Ady Stern   +3 more
doaj   +1 more source

Anyon condensation and tensor categories

Nuclear Physics B, 2014
Instead of studying anyon condensation in various concrete models, we take a bootstrap approach by considering an abstract situation, in which an anyon condensation happens in a 2-d topological phase with anyonic excitations given by a modular tensor ...
Liang Kong
doaj   +1 more source

Anyons for Quantum Computing

In this review, anyons are studied with an emphasis on their application to quantum computing, which is referred to as topological quantum computing.
Fredriksson, Adam
core   +1 more source

Chiral edge states emerging on anyon-net

SciPost Physics Core
We propose a symmetry-based approach to constructing lattice models for chiral topological phases, focusing on non-Abelian anyons. Using a 2+1D version of anyon chains and modular tensor categories (MTCs), we ensure exact MTC symmetry at the microscopic ...
Atsushi Ueda, Kansei Inamura, Kantaro Ohmori
doaj   +1 more source

Non-abelian anyons and logic gates

openIl calcolo quantistico topologico è un nuovo paradigma di calcolo quantistico che utilizza gli anyoni non abeliani sia per codificare gli stati quantistici, sia per implementare le porte logiche in maniera topologica.
MASTROBERARDINO, GABRIEL
core  

Sensing the binding and unbinding of anyons at impurities

Physical Review Research
Anyons are quasiparticles with fractional charge and statistics that arise in strongly correlated two-dimensional systems such as the fractional quantum Hall effect and fractional Chern insulators.
Glenn Wagner, Titus Neupert
doaj   +1 more source

Anyon condensation in mixed-state topological order

SciPost Physics Core
We discuss anyon condensation in mixed-state topological order. The phases were recently conjectured to be classified by pre-modular fusion categories. Just like anyon condensation in pure-state topological order, a bootstrap analysis shows condensable ...
Ken Kikuchi, Kah-Sen Kam, Fu-Hsiang Huang
doaj   +1 more source

Multi-anyons in the magnetic field

, 2018
We consider the external magnetic field effects on the two types of anyons with fractional statistical parameter pig with coprimes p and q, one with a fractional charge e/q and the other with a fractional flux p phi(o)/q by exact ground state wave ...
Ryu, CM, Lee, J, Choi, T
core   +1 more source

Intrinsic Mixed-State Topological Order

PRX Quantum
Decoherence is a major obstacle to the preparation of topological order in noisy intermediate-scale quantum devices. Here, we show that decoherence can also give rise to new types of topological order.
Zijian Wang, Zhengzhi Wu, Zhong Wang
doaj   +1 more source

Quantum entanglement of anyonic charges and emergent spacetime geometry

New Journal of Physics
Intrinsically topologically ordered phases can host anyons. Here, we take the view that entanglement between anyons can give rise to an emergent geometry resembling Anti-de Sitter (AdS) space.
Hoang-Anh Le, Hyun Cheol Lee, S-R Eric Yang   +2 more
doaj   +1 more source