Remote preparation for single-photon state in two degrees of freedom with hyper-entangled states
Meiyu Wang, Fengli Yan, Ting Gao

TL;DR
This paper demonstrates remote preparation of arbitrary single-photon states across two degrees of freedom using hyper-entanglement, enabling advanced long-distance quantum communication.
Contribution
It introduces a method for remote state preparation of single-photon states in two DoFs using hyper-entanglement, expanding quantum communication capabilities.
Findings
Successful remote preparation of polarization and frequency DoFs
Reconstruction of single-photon states in polarization and time-bin DoFs
Potential for enhanced long-distance quantum communication
Abstract
Remote state preparation (RSP) provides a useful way of transferring quantum information between two distant nodes based on the previously shared entanglement. In this paper, we study RSP of an arbitrary single-photon state in two degrees of freedom (DoFs). Using hyper-entanglement as a shared resource, our first goal is to remotely prepare the single-photon state in polarization and frequency DoFs and the second one is to reconstruct the single-photon state in polarization and time-bin DoFs. In the RSP process, the sender will rotate the quantum state in each DoF of the photon according to the knowledge of the state to be communicated. By performing a projective measurement on the polarization of the sender's photon, the original single-photon state in two DoFs can be remotely reconstructed at the receiver's quantum systems. This work demonstrates a novel capability for long-distance…
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