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Title: A controlled-NOT gate for frequency-bin qubits

Abstract

The realization of strong photon–photon interactions has presented an enduring challenge across photonics, particularly in quantum computing, where two-photon gates form essential components for scalable quantum information processing (QIP). While linear-optic schemes have enabled probabilistic entangling gates in spatio-polarization encoding, solutions for many other useful degrees of freedom remain missing. In particular, no two-photon gate for the important platform of frequency encoding has been experimentally demonstrated, due in large part to the additional challenges imparted by the mismatched wavelengths of the interacting photons. In this article, we design and implement an entangling gate for frequency-bin qubits, a coincidence-basis controlled-NOT (CNOT), using line-by-line pulse shaping and electro-optic modulation. With this being said, we extract a quantum unitary fidelity of 0.91 ± 0.01 via a parameter inference approach based on Bayesian machine learning, which enables accurate gate reconstruction from measurements in the two-photon computational basis alone. Thus, our CNOT imparts a single-photon frequency shift controlled by the frequency of another photon—an important capability in itself—and should enable new directions in fiber-compatible QIP.

Authors:
ORCiD logo [1]; ORCiD logo [2];  [2];  [1]; ORCiD logo [3]; ORCiD logo [1]; ORCiD logo [2]
  1. Purdue Univ., West Lafayette, IN (United States)
  2. Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
  3. Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1502569
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
npj Quantum Information
Additional Journal Information:
Journal Volume: 5; Journal Issue: 1; Journal ID: ISSN 2056-6387
Publisher:
Nature Partner Journals
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING

Citation Formats

Lu, Hsuan-Hao, Lukens, Joseph M., Williams, Brian P., Imany, Poolad, Peters, Nicholas A., Weiner, Andrew M., and Lougovski, Pavel. A controlled-NOT gate for frequency-bin qubits. United States: N. p., 2019. Web. doi:10.1038/s41534-019-0137-z.
Lu, Hsuan-Hao, Lukens, Joseph M., Williams, Brian P., Imany, Poolad, Peters, Nicholas A., Weiner, Andrew M., & Lougovski, Pavel. A controlled-NOT gate for frequency-bin qubits. United States. doi:10.1038/s41534-019-0137-z.
Lu, Hsuan-Hao, Lukens, Joseph M., Williams, Brian P., Imany, Poolad, Peters, Nicholas A., Weiner, Andrew M., and Lougovski, Pavel. Tue . "A controlled-NOT gate for frequency-bin qubits". United States. doi:10.1038/s41534-019-0137-z. https://www.osti.gov/servlets/purl/1502569.
@article{osti_1502569,
title = {A controlled-NOT gate for frequency-bin qubits},
author = {Lu, Hsuan-Hao and Lukens, Joseph M. and Williams, Brian P. and Imany, Poolad and Peters, Nicholas A. and Weiner, Andrew M. and Lougovski, Pavel},
abstractNote = {The realization of strong photon–photon interactions has presented an enduring challenge across photonics, particularly in quantum computing, where two-photon gates form essential components for scalable quantum information processing (QIP). While linear-optic schemes have enabled probabilistic entangling gates in spatio-polarization encoding, solutions for many other useful degrees of freedom remain missing. In particular, no two-photon gate for the important platform of frequency encoding has been experimentally demonstrated, due in large part to the additional challenges imparted by the mismatched wavelengths of the interacting photons. In this article, we design and implement an entangling gate for frequency-bin qubits, a coincidence-basis controlled-NOT (CNOT), using line-by-line pulse shaping and electro-optic modulation. With this being said, we extract a quantum unitary fidelity of 0.91 ± 0.01 via a parameter inference approach based on Bayesian machine learning, which enables accurate gate reconstruction from measurements in the two-photon computational basis alone. Thus, our CNOT imparts a single-photon frequency shift controlled by the frequency of another photon—an important capability in itself—and should enable new directions in fiber-compatible QIP.},
doi = {10.1038/s41534-019-0137-z},
journal = {npj Quantum Information},
number = 1,
volume = 5,
place = {United States},
year = {2019},
month = {3}
}

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