[BUCH][B] Introduction to topological quantum computation

JK Pachos - 2012 - books.google.com
Combining physics, mathematics and computer science, topological quantum computation
is a rapidly expanding research area focused on the exploration of quantum evolutions that …

Thermal fractionalization of quantum spins in a Kitaev model: Temperature-linear specific heat and coherent transport of Majorana fermions

J Nasu, M Udagawa, Y Motome - Physical Review B, 2015 - APS
Finite-temperature (T) properties of a Kitaev model defined on a honeycomb lattice are
investigated by a quantum Monte Carlo simulation, from the viewpoint of fractionalization of …

Splitting of Majorana-Fermion Modes due to Intervortex Tunneling <?format ?>in a Superconductor

M Cheng, RM Lutchyn, V Galitski, S Das Sarma - Physical review letters, 2009 - APS
We consider a two-dimensional (px+ ipy) superconductor in the presence of multiple
vortices, which support zero-energy Majorana-fermion states in their cores. Intervortex …

Tunneling of anyonic Majorana excitations in topological superconductors

M Cheng, RM Lutchyn, V Galitski, S Das Sarma - Physical Review B …, 2010 - APS
We consider topological superconductors and topological insulator/superconductor
structures in the presence of multiple static vortices that host Majorana modes and focus on …

Scanning tunneling microscopy as a single majorana detector of kitaev's chiral spin liquid

M Udagawa, S Takayoshi, T Oka - Physical Review Letters, 2021 - APS
We propose a local detection scheme for the Majorana zero mode (MZM) carried by a vison
in Kitaev's chiral spin liquid (CSL) using scanning tunneling microscopy (STM). The STM …

Physical solutions of the Kitaev honeycomb model

FL Pedrocchi, S Chesi, D Loss - Physical Review B—Condensed Matter and …, 2011 - APS
We investigate the exact solution of the honeycomb model proposed by Kitaev and derive
an explicit formula for the projector onto the physical subspace. The physical states are …

Nonlinear response of the Kitaev honeycomb lattice model in a weak magnetic field

MK Negahdari, A Langari - Physical Review B, 2023 - APS
We investigate the nonlinear response of the Kitaev honeycomb lattice model in a weak
magnetic field using the theory of two-dimensional (2D) coherent spectroscopy. We observe …

Quantum simulation and ground state preparation for the honeycomb Kitaev model

TA Bespalova, O Kyriienko - arxiv preprint arxiv:2109.13883, 2021 - arxiv.org
We propose a quantum protocol that allows preparing a ground state (GS) of the honeycomb
Kitaev model. Our approach efficiently uses underlying symmetries and techniques from …

Topological liquid nucleation induced by vortex-vortex interactions in Kitaev's honeycomb model

V Lahtinen, AWW Ludwig, JK Pachos, S Trebst - Physical Review B …, 2012 - APS
We provide a comprehensive microscopic understanding of the nucleation of topological
quantum liquids, a general mechanism where interactions between non-Abelian anyons …

Numerical analysis of quasiholes of the moore-read wave function

M Baraban, G Zikos, N Bonesteel, SH Simon - Physical review letters, 2009 - APS
We demonstrate numerically that non-Abelian quasihole (qh) excitations of the ν= 5/2
fractional quantum Hall state have some of the key properties necessary to support quantum …