Nonlinear protocol for high-dimensional quantum teleportation

Year: 2025

Authors: Bianchi L., Marconi C., Guarda G., Bacco D.

Autors Affiliation: Univ Florence, Dept Phys & Astron, I-50019 Florence, Italy; CNR, Ist Nazl Ott, I-50125 Florence, Italy; European Lab Nonlinear Spect, I-50019 Sesto Fiorentino, Italy; Univ Florence, Dept Phys & Astron, I-50019 Sesto Fiorentino, Italy.

Abstract: Bell measurements, which allow entanglement between uncorrelated distant particles, play a central role in quantum communication. Indeed, sharing, measuring, and creating entanglement lie at the core of various protocols, such as entanglement swapping and quantum teleportation. While for optical qubit systems a Bell measurement can be implemented using only linear components, the same result is no longer true for highdimensional states, where one has to consider either auxiliary photons or nonlinear processes. Here, inspired by the latter approach, we propose a protocol for high-dimensional quantum teleportation based on nonlinear techniques. Moreover, we discuss the practical implementation of our proposed setup in the case of path-encoded qutrits, where nonlinear effects arise from sum-frequency generation. Finally, we compute the fidelity between quantum states to benchmark the validity of our model under the presence of crosstalk noise. Our approach is deterministic, versatile, and does not rely on the use of auxiliary photons, thus paving the way towards the practical implementation of quantum networks based on nonlinear effects.

Journal/Review: PHYSICAL REVIEW A

Volume: 112 (1)      Pages from: 12615-1  to: 12615-9

More Information: We thank Mikkel Heuck for fruitful discussions about nonlinear optical processes. This research was cofunded by the European Union ERC StG, QOMUNE, Grant No. 101077917, and by the NextGeneration EU, Integrated in-frastructure initiative in photonic and quantum sciences (Grants No. IR0000016, No. D2B8D520, and No. CUP B53C22001750006) .
KeyWords: State; Channel; Discrimination; Entanglement; Generation; Photons
DOI: 10.1103/3×44-664w