Entanglement swapping with local certification: application to remote micromechanical resonators

Area of Science:

• Quantum Information Science
• Quantum Optics
• Optomechanics

Background:

• Entanglement swapping is crucial for quantum communication networks.
• Current protocols often lack robust certification of generated entanglement.
• Tripartite systems offer novel possibilities for quantum state manipulation.

Purpose of the Study:

• To propose a novel entanglement swapping protocol utilizing tripartite systems.
• To enable certified generation of remote entanglement.
• To apply the protocol to continuous variable and optomechanical systems.

Main Methods:

• Development of a protocol based on Bell measurements in tripartite systems.
• Certification of remote entanglement via local measurements.
• Application and illustration using continuous variable (CV) systems and specific three-mode Gaussian states.
• Extension to optomechanical systems involving micromechanical resonators.

Main Results:

• Demonstration of a protocol for entanglement swapping involving tripartite systems.
• Effective certification of remote entanglement generation through local measurements.
• Successful application to CV systems and optomechanical setups.
• Generation and certification of mechanical entanglement between remote micromechanical resonators.

Conclusions:

• The proposed protocol provides a certified method for remote entanglement generation.
• The protocol is effective in both continuous variable and optomechanical systems.
• Local measurements offer a practical way to verify entanglement in complex quantum systems.