139 citations · 445 across the 31 of their papers we have counts for
31 papers
Diagonal Coset Approach to Topological Quantum Computation with Fibonacci Anyons
Lachezar S. Georgiev, Ludmil Hadjiivanov, Grigori Matein
We investigate a promising conformal field theory realization scheme for topological quantum computation based on the Fibonacci anyons, which are believed to be realized as quasipa…
Braiding Fibonacci anyons
Ludmil Hadjiivanov, Lachezar S. Georgiev
Fibonacci anyons provide the simplest possible model of non-Abelian fusion rules: [1] x [1] = [0] + [1]. We propose a conformal field theory construction of topological quantum reg…
Exact modular matrix for the parafermion quantum Hall islands and measurement of non-Abelian anyons
Lachezar S. Georgiev
Using the decomposition of rational conformal filed theory characters for the parafermion quantum Hall droplets for general , we derive analytically…
Topological Quantum Computation with Non-Abelian Anyons in Fractional Quantum Hall States
Lachezar S. Georgiev
We review the general strategy of topologically protected quantum information processing based on non-Abelian anyons, in which quantum information is encoded into the fusion channe…
Thermoelectric characteristics of parafermion Coulomb islands
Lachezar S. Georgiev
Using the explicit rational conformal field theory partition functions for the parafermion quantum Hall states on a disk we compute numerically the thermoelectric p…
Thermopower and thermoelectric power factor of parafermion quantum dots
Lachezar S. Georgiev
Using the conformal field theory approach to the thermoelectric characteristics of fractional quantum Hall states, previously developed in Nucl. Phys. B 894 (2015) 284, we show tha…