139 citations · 445 across the 31 of their papers we have counts for
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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…
Hilbert space decomposition for Coulomb blockade in Fabry--Pérot interferometers
Lachezar S. Georgiev
We show how to construct the thermodynamic grand potential of a droplet of incompressible fractional quantum Hall liquid, formed inside of an electronic Fabry--Pérot interferometer…
Monodromy analysis of the computational power of the Ising topological quantum computer
Andre Ahlbrecht, Lachezar S. Georgiev, Reinhard F. Werner
We show that all quantum gates which could be implemented by braiding of Ising anyons in the Ising topological quantum computer preserve the n-qubit Pauli group. Analyzing the stru…
Topological Quantum Computation with the universal R matrix for Ising anyons
Lachezar S. Georgiev
We show that the braid-group extension of the monodromy-based topological quantum computation scheme of Das Sarma et al. can be understood in terms of the universal R matrix for th…
Ultimate braid-group generators for coordinate exchanges of Ising anyons from the multi-anyon Pfaffian wave functions
Lachezar S. Georgiev
We give a rigorous and self-consistent derivation of the elementary braid matrices representing the exchanges of adjacent Ising anyons in the two inequivalent representations of th…
Prime Number Diffeomorphisms, Diophantine Equations and the Riemann Hypothesis
Lubomir Alexandrov, Lachezar Georgiev
We explicitly construct a diffeomorphic pair (p(x),p^{-1}(x)) in terms of an appropriate quadric spline interpolating the prime series. These continuously differentiable functions…