Fully Arbitrary Control of Frequency-Bin Qubits

Hsuan Hao Lu, Emma M. Simmerman, Pavel Lougovski, Andrew M. Weiner, Joseph M. Lukens

Research output: Contribution to journalArticlepeer-review

55 Scopus citations

Abstract

Accurate control of two-level systems is a longstanding problem in quantum mechanics. One such quantum system is the frequency-bin qubit: A single photon existing in superposition of two discrete frequency modes. In this Letter, we demonstrate fully arbitrary control of frequency-bin qubits in a quantum frequency processor for the first time. We numerically establish optimal settings for multiple configurations of electro-optic phase modulators and pulse shapers, experimentally confirming near-unity mode-transformation fidelity for all fundamental rotations. Performance at the single-photon level is validated through the rotation of a single frequency-bin qubit to 41 points spread over the entire Bloch sphere, as well as tracking of the state path followed by the output of a tunable frequency beam splitter, with Bayesian tomography confirming state fidelities Fρ>0.98 for all cases. Such high-fidelity transformations expand the practical potential of frequency encoding in quantum communications, offering exceptional precision and low noise in general qubit manipulation.

Original languageEnglish
Article number120503
JournalPhysical Review Letters
Volume125
Issue number12
DOIs
StatePublished - Sep 2020
Externally publishedYes

Funding

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 was provided by the U.S. Department of Energy, Office of Science (Office of Advanced Scientific Computing Research, Early Career Research Program; and Office of Workforce Development for Teachers and Scientists Science Undergraduate Laboratory Internship Program) and the National Science Foundation (Grant No. 1839191-ECCS).

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