Remote preparation for single-photon two-qubit hybrid state with hyperentanglement via linear-optical elements

Area of Science:

• Quantum Information Science
• Quantum Optics
• Linear Optical Quantum Computing

Background:

• Photons are ideal for remote quantum information transmission.
• Existing methods primarily focus on single-qubit remote state preparation.
• Deterministic reconstruction of quantum states via linear optics is an active research area.

Purpose of the Study:

• To investigate methods for remote preparation of two-qubit hybrid states.
• To develop a deterministic scheme for arbitrary two-qubit hybrid state remote preparation.
• To explore the use of hyperentangled states in remote state preparation.

Main Methods:

• Utilizing linear-optical elements exclusively.
• Employing a hyperentangled Bell state as a quantum resource.
• Sender manipulates spatial-mode and polarization states of photons.
• Receiver applies recovery operations to reconstruct the state.

Main Results:

• A deterministic scheme for remote preparation of arbitrary two-qubit hybrid states is presented.
• The protocol relies solely on linear optical components.
• The method allows for the reconstruction of the target state with high fidelity.

Conclusions:

• The proposed scheme offers a viable pathway for deterministic remote preparation of two-qubit hybrid states.
• Linear optical elements are sufficient for complex quantum state remote preparation.
• Further discussion includes remote state preparation using partially hyperentangled Bell states.