On the theory of topological computation in the lowest Landau level of QHE

TL;DR

This paper explores topological quantum computation in the lowest Landau level of the Quantum Hall effect, focusing on qubit formation, entanglement, and potential for higher states via quantum teleportation.

Contribution

It introduces a novel approach to topological entanglement of qubits using spin echo and flux ratios in the Quantum Hall regime.

Findings

Identification of flux ratios for maximal qubit entanglement

Proposal of quantum teleportation for generating higher Quantum Hall states

Analysis of Aharonov-Bohm oscillations in quasiparticle-based qubits

Abstract

We have studied the formation of Hall-qubit (LLL state) in Quantum Hall effect due to the Aharonov-Bhom oscillation of quasiparticles.The spin echo method plays the key role in the topological entanglement of qubits. The proper ratio of fluxes for maximally entangling qubits has also been pointed out. The generation of higher Quantum Hall state may be possible with the help of quantum teleportation.