Fourier Transform of the Orbital Angular Momentum of a Single Photon

Autor(en)

Jaroslav Kysela, Xiaoqin Gao, Borivoje Dakic

Abstrakt

Optical networks implementing single-qudit quantum gates may exhibit superior properties to those for qubits as each optical element in the network can work in parallel on many optical modes simultaneously. We present a class of such networks that implements in a deterministic and efficient way the quantum Fourier transform (QFT) in an arbitrarily high dimension. These networks redistribute the initial quantum state into the orbital angular momentum (OAM) and path degrees of freedom and offer two modes of operation. Either the OAM-only QFT can be implemented, which uses the path as an internal auxiliary degree of freedom, or the path-only QFT is implemented, which uses the OAM as the auxiliary degree of freedom. The resources for both schemes scale linearly O(d) with the dimension d of the system, beating the best known bounds for the path-encoded QFT. While the QFT of the orbital-angular-momentum states of single photons has been applied in a multitude of experiments, these schemes require specially designed elements with nontrivial phase profiles. In contrast, we propose a different approach that utilizes only conventional optical elements.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Österreichische Akademie der Wissenschaften (ÖAW), Southeast University, Universität Wien

Journal

Physical Review Applied

Band

14

Anzahl der Seiten

14

ISSN

2331-7019

DOI

https://doi.org/10.1103/PhysRevApplied.14.034036

Publikationsdatum

09-2020

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik, 103021 Optik

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/6e2bbc0a-9476-421d-b19b-7c9c63e6d531