Entanglement discrimination in multi-rail electron-hole currents

Area of Science:

• Quantum physics
• Condensed matter physics

Background:

• Quantum entanglement is a fundamental property of quantum mechanics, crucial for quantum information processing.
• Verifying entanglement is essential for developing quantum technologies but faces experimental challenges.
• Existing methods often rely on violating Bell inequalities, which can be difficult to implement.

Purpose of the Study:

• To propose a novel quantum interferometer for entangling electrons and holes.
• To develop an entanglement witness capable of discriminating spatial-mode and occupancy entanglement.
• To provide a feasible alternative to entanglement verification methods based on Bell inequality violations.

Main Methods:

• Integration of an electron-hole entangler and an analyzer within a quantum-Hall interferometer.
• Implementation of a multi-rail encoding scheme for quantum information processing.
• Utilizing the analyzer as an entanglement witness to detect and quantify entanglement properties.

Main Results:

• Demonstration of an electron-hole entangler integrated into a quantum interferometer.
• Development of an entanglement witness capable of distinguishing spatial-mode and occupancy entanglement.
• Successful quantification of different types of entanglement within the proposed system.

Conclusions:

• The proposed quantum interferometer provides a practical platform for generating and verifying electron-hole entanglement.
• The entanglement witness effectively discriminates and quantifies spatial-mode and occupancy entanglement.
• This approach offers a viable alternative to traditional methods for entanglement verification in quantum systems.