Entanglement capabilities in infinite dimensions: multidimensional entangled coherent states

Area of Science:

• Quantum optics
• Quantum information science

Background:

• Entanglement is a key quantum resource.
• Generating high levels of entanglement efficiently is crucial for quantum technologies.

Purpose of the Study:

• To explore entanglement generation dynamics in a specific optical setup.
• To investigate the creation of multidimensional entangled coherent states.
• To develop a quantum teleportation protocol based on these states.

Main Methods:

• Utilizing a standard Kerr nonlinearity and a 50/50 beam splitter.
• Initiating the system with a coherent state.
• Analyzing the interaction for different finite and infinite time scales.

Main Results:

• An interaction producing infinite entanglement in zero time was identified.
• Finite interaction times generated multidimensional generalizations of entangled coherent states.
• A quantum teleportation protocol was successfully constructed for these states.

Conclusions:

• The proposed interaction offers a novel route to generate significant entanglement.
• The generated multidimensional entangled coherent states are suitable for quantum teleportation.
• Connections between probabilistic teleportation and unambiguous state discrimination were highlighted.