Thermal quantum correlations of a single electron in a double quantum dot with transverse magnetic field

TL;DR

This study explores how temperature and magnetic fields influence quantum correlations in a single electron within a double quantum dot, revealing that transverse magnetic fields can tune entanglement and coherence, with correlated coherence being more robust than entanglement.

Contribution

The paper provides analytical expressions for thermal concurrence and correlated coherence in a double quantum dot system, highlighting the role of transverse magnetic fields in controlling quantum correlations.

Findings

Transverse magnetic field can modulate thermal entanglement and coherence.

Thermal correlated coherence is more robust than thermal entanglement.

Quantum algorithms based on correlated coherence may be more resilient.

Abstract

In this paper, we investigate the thermal quantum correlations in a semiconductor double quantum dot system. The device comprises a single electron in a double quantum dot subjected to a longitudinal magnetic field and a transverse magnetic field gradient. The thermal entanglement of the single electron is driven by the charge and spin qubits. Utilizing the density matrix formalism, we derive analytical expressions for thermal concurrence and correlated coherence. The main goal of this work is to provide a good understanding of the effects of temperature and various parameters on quantum coherence. Additionally, our findings indicate that the transverse magnetic field can be employed to adjust the thermal entanglement and quantum coherence of the system. We also highlight the roles of thermal entanglement and correlated coherence in generating quantum correlations, noting that thermal correlated coherence is consistently more robust than thermal entanglement. This suggests that quantum algorithms based solely on correlated coherence might be more resilient than those relying on entanglement.