Preparation of heralded high-fidelity high-dimensional entangled states implemented with qudit-encoded photon systems

Area of Science:

• Quantum Information Science
• Quantum Optics
• Quantum Computing

Background:

• Higher-dimensional qubits (qudits) offer advantages over traditional qubits, including larger state spaces and enhanced loss tolerance.
• Preparing high-dimensional entangled states is crucial for harnessing the full potential of qudit-based quantum information processing.

Purpose of the Study:

• To propose a procedure for preparing arbitrary four-dimensional two-qudit and three-qudit entanglement in photon systems.
• To demonstrate an error-heralded method for generating high-dimensional entanglement that is robust against practical experimental imperfections.

Main Methods:

• Utilizing error-heralded quantum devices and controlled-not gates for entanglement preparation.
• Implementing a scheme where practical errors are converted into detectable signals for error-heralding.

Main Results:

• Successful proposal for preparing arbitrary four-dimensional two-qudit and three-qudit entangled states.
• Demonstration that practical errors, such as coupling strength restrictions and cavity leakage, can be leveraged for error-heralded generation.
• Achieved robust fidelities in the generated high-dimensional entangled states.

Conclusions:

• The proposed method enhances experimental accessibility for generating high-dimensional entanglement.
• The error-heralded approach offers a practical pathway towards scalable quantum information processing with qudits.