Entanglement between quantum dots transmitted via Majorana wire: Insights from the fermionic negativity, concurrence and quantum mutual information

TL;DR

This paper investigates how quantum entanglement between two quantum dots connected by a Majorana wire varies with energy levels, hybridization, and temperature, revealing optimal conditions for entanglement transmission.

Contribution

It provides a detailed analysis of entanglement behavior in a Majorana wire system using fermionic negativity, concurrence, and quantum mutual information, including finite-temperature effects.

Findings

Maximum entanglement occurs when quantum dot levels align with Majorana modes.

Hybridization influences entanglement suppression or enhancement depending on detuning.

Proposes methods for robust entanglement transmission at finite temperatures.

Abstract

We study quantum entanglement in a system comprising two quantum dots interconnected through the short topological superconducting nanowire, which hosts overlapping boundary Majorana modes. Inspecting the fermionic negativity, we analyze the variation of entanglement against the position of the energy levels of quantum dots and their hybridization with the topological superconducting nanowire. In the absence of electron correlations, the optimal entanglement occurs when the energy levels coincide with the zero-energy Majorana modes, whereas upon increasing the hybridizations, the entanglement is gradually suppressed. Such monotonous behavior is no longer valid when the quantum dot levels are detuned from the zero-energy. Under these circumstances, the quantum dots become maximally entangled for a certain optimal hybridization. Moreover, we study the thermal concurrence to explore the entanglement properties at finite temperatures. We also compute the quantum mutual information and propose recipes for robust finite-temperature entanglement transmission via Majorana modes.