arXiv subjects

Dmitry Pikulin

Publications and source records attributed to Dmitry Pikulin.

3 recordsLinked to original sources

arXiv2021

Visibility of noisy quantum dot-based measurements of Majorana qubits

Measurement schemes of Majorana zero modes (MZMs) based on quantum dots (QDs) are of current interest as they provide a scalable platform for topological quantum computation. In a coupled qubit-QD setup we calculate the dependence of the charge of the QD and its differential capacitance on experimentally tunable parameters for both 2-MZM and 4-MZM measurements. We quantify the effect of noise on the measurement visibility by considering $1/f$ noise in detuning, tunneling amplitudes or phase. We find that on- or close-to-resonance measurements are generally preferable and predict, using conservative noise estimates, that noise coupling to the QDs is not a limitation to high-fidelity measurements of topological qubits.

cond-mat.mes-hall↗

arXiv2019

Phase diagrams of Majorana-Hubbard ladders

Models of interacting Majorana modes may be realized in vortex lattices in superconducting films in contact with topological insulators and may be tuned to the strong-interaction regime by adjusting the chemical potential. Extending the results on one- and two-dimensional Majorana-Hubbard models, here we determine the phase diagrams of two- and four-leg ladders using both field theory and the density-matrix renormalization group (DMRG) methods.

cond-mat.str-el↗

arXiv2017

Majorana-Hubbard model on the square lattice

We study a tight-binding model of interacting Majorana (Hermitian) modes on a square lattice. The model may have an experimental realization in a superconducting-film--topological-insulator heterostructure in a magnetic field. We find a rich phase diagram, as a function of interaction strength, including a superfluid phase with spontaneous breaking of an emergent $U(1)$ symmetry, separated by a supersymmetric transition from a gapless normal phase.

cond-mat.str-el↗