Mechanically induced two-qubit gates and maximally entangled states for single electron spins in a carbon nanotube

TL;DR

This paper proposes a method to implement two-qubit gates and generate maximally entangled states between electron spins in a carbon nanotube using mechanically induced coupling via external electric driving.

Contribution

It introduces a theoretical scheme for mechanically-induced two-qubit gates and entanglement in a CNT-based system, leveraging spin-orbit interaction and electric control.

Findings

Two-qubit iSWAP gate can be realized through mechanical coupling.

Maximally entangled states can be generated in a single step.

Spin-phonon coupling can be electrically turned off.

Abstract

We theoretically analyze a system where two electrons are trapped separately in two quantum dots on a suspended carbon nanotube (CNT), subject to external ac electric driving. An indirect mechanically-induced coupling of two distant single electron spins is induced by the interaction between the spins and the mechanical motion of the CNT. We show that a two-qubit iSWAP gate and arbitrary single-qubit gates can be obtained from the intrinsic spin-orbit coupling. Combining the iSWAP gate and single-qubit gates, maximally entangled states of two spins can be generated in a single step by varying the frequency and the strength of the external electric driving field. The spin-phonon coupling can be turned off by electrostatically shifting the electron wave function on the nanotube.