High-dimensional discrete Fourier transform gates with a quantum frequency processor

Hsuan Hao Lu, NAVIN B. LINGARAJU, DANIEL E. LEAIRD, ANDREW M. WEINER, JOSEPH M. LUKENS

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

The discrete Fourier transform (DFT) is of fundamental interest in photonic quantum information, yet the ability to scale it to high dimensions depends heavily on the physical encoding, with practical recipes lacking in emerging platforms such as frequency bins. In this article, we show that d-point frequency-bin DFTs can be realized with a fixed three-component quantum frequency processor (QFP), simply by adding to the electro-optic modulation signals one radio-frequency harmonic per each incremental increase in d. We verify gate fidelity FW>0.9997 and success probability PW>0.965 up to d = 10 in numerical simulations, and experimentally implement the solution for d = 3, utilizing measurements with parallel DFTs to quantify entanglement and perform tomography of multiple two-photon frequency-bin states. Our results furnish new opportunities for high-dimensional frequency-bin protocols in quantum communications and networking.

Original languageEnglish
Pages (from-to)10126-10134
Number of pages9
JournalOptics Express
Volume30
Issue number6
DOIs
StatePublished - Mar 14 2022

Funding

Acknowledgments. Preliminary results were presented at CLEO 2021 as paper number FTu1N.8. We thank AdvR, Inc., for loaning the PPLN ridge waveguide. This research was performed in part at Oak Ridge National Laboratory, managed by UT-Battelle, LLC, for the U.S. Department of Energy under contract no. DE-AC05-00OR22725. Funding. National Science Foundation (2034019-ECCS, 1747426-DMR, 1839191-ECCS); U.S. Department of Energy, Office of Science, Advanced Scientific Computing Research (ERKJ353); Air Force Research Laboratory (FA875020P1705).

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