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Title: High-dimensional optical quantum logic in large operational spaces

Abstract

The probabilistic nature of single-photon sources and photon–photon interactions encourages encoding as much quantum information as possible in every photon for the purpose of photonic quantum information processing. Here, by encoding high-dimensional units of information (qudits) in time and frequency degrees of freedom using on-chip sources, we report deterministic two-qudit gates in a single photon with fidelities exceeding 0.90 in the computational basis. Constructing a two-qudit modulo SUM gate, we generate and measure a single-photon state with nonseparability between time and frequency qudits. We then employ this SUM operation on two frequency-bin entangled photons—each carrying two 32-dimensional qudits—to realize a four-party high-dimensional Greenberger–Horne–Zeilinger state, occupying a Hilbert space equivalent to that of 20 qubits. Although high-dimensional coding alone is ultimately not scalable for universal quantum computing, our design shows the potential of deterministic optical quantum operations in large encoding spaces for practical and compact quantum information processing protocols.

Authors:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [1]; ORCiD logo [3];  [1];  [1];  [1];  [1]; ORCiD logo [1]
  1. Purdue Univ., West Lafayette, IN (United States)
  2. Purdue Univ., West Lafayette, IN (United States); Univ. Tecnologica de Pereira, Pereira, RIS (Colombia)
  3. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1542245
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:
97 MATHEMATICS AND COMPUTING

Citation Formats

Imany, Poolad, Jaramillo-Villegas, Jose A., Alshaykh, Mohammed S., Lukens, Joseph M., Odele, Ogaga D., Moore, Alexandria J., Leaird, Daniel E., Qi, Minghao, and Weiner, Andrew M. High-dimensional optical quantum logic in large operational spaces. United States: N. p., 2019. Web. https://doi.org/10.1038/s41534-019-0173-8.
Imany, Poolad, Jaramillo-Villegas, Jose A., Alshaykh, Mohammed S., Lukens, Joseph M., Odele, Ogaga D., Moore, Alexandria J., Leaird, Daniel E., Qi, Minghao, & Weiner, Andrew M. High-dimensional optical quantum logic in large operational spaces. United States. https://doi.org/10.1038/s41534-019-0173-8
Imany, Poolad, Jaramillo-Villegas, Jose A., Alshaykh, Mohammed S., Lukens, Joseph M., Odele, Ogaga D., Moore, Alexandria J., Leaird, Daniel E., Qi, Minghao, and Weiner, Andrew M. Thu . "High-dimensional optical quantum logic in large operational spaces". United States. https://doi.org/10.1038/s41534-019-0173-8. https://www.osti.gov/servlets/purl/1542245.
@article{osti_1542245,
title = {High-dimensional optical quantum logic in large operational spaces},
author = {Imany, Poolad and Jaramillo-Villegas, Jose A. and Alshaykh, Mohammed S. and Lukens, Joseph M. and Odele, Ogaga D. and Moore, Alexandria J. and Leaird, Daniel E. and Qi, Minghao and Weiner, Andrew M.},
abstractNote = {The probabilistic nature of single-photon sources and photon–photon interactions encourages encoding as much quantum information as possible in every photon for the purpose of photonic quantum information processing. Here, by encoding high-dimensional units of information (qudits) in time and frequency degrees of freedom using on-chip sources, we report deterministic two-qudit gates in a single photon with fidelities exceeding 0.90 in the computational basis. Constructing a two-qudit modulo SUM gate, we generate and measure a single-photon state with nonseparability between time and frequency qudits. We then employ this SUM operation on two frequency-bin entangled photons—each carrying two 32-dimensional qudits—to realize a four-party high-dimensional Greenberger–Horne–Zeilinger state, occupying a Hilbert space equivalent to that of 20 qubits. Although high-dimensional coding alone is ultimately not scalable for universal quantum computing, our design shows the potential of deterministic optical quantum operations in large encoding spaces for practical and compact quantum information processing protocols.},
doi = {10.1038/s41534-019-0173-8},
journal = {npj Quantum Information},
number = 1,
volume = 5,
place = {United States},
year = {2019},
month = {7}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 12 works
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Figures / Tables:

Fig. 1 Fig. 1: Illustration of the scheme. Two qudits encoded in d time bins and frequency bins in a single photon, going through a deterministic quantum process. The single photon can be encoded in an arbitrary superposition of different time and frequency bins; the unused time–frequency slots are shown with dashedmore » circles. After the deterministic quantum process operates on the two-qudit state, the orientation of the time–frequency superpositions change to a new two-qudit state« less

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