Method for Full Bloch-Sphere Control of a Localized Spin via a Single Electrical Gate
Joseph Pingenot, Craig E. Pryor, Michael E. Flatt\'e

TL;DR
This paper proposes a method to achieve full Bloch-sphere control of a localized electron spin in a quantum dot using only a static magnetic field and a single electric gate, by exploiting electric field dependence of the g tensor.
Contribution
It demonstrates how to manipulate the electron spin in quantum dots through electric field tuning of the g tensor, enabling full spin control with minimal hardware.
Findings
Certain quantum dot sizes allow g tensor components to change sign with electric field.
Full Bloch-sphere control can be achieved with a static magnetic field and a single vertical gate.
The method provides a pathway for scalable quantum spin control in quantum dot systems.
Abstract
We calculate the dependence on an applied electric field of the g tensor of a single electron in a self-assembled InAs/GaAs quantum dot. We identify dot sizes and shapes for which one in-plane component of the g tensor changes sign for realistic electric fields, and show this should permit full Bloch-sphere control of the electron spin in the quantum dot using only a static magnetic field and a single vertical electric gate.
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