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DOI: 10.4230/LIPIcs.TQC.2014.36

Quantum Communication Complexity with Coherent States and Linear Optics

Authors: Juan Miguel Arrazola and Norbert Lütkenhaus

Published in: LIPIcs, Volume 27, 9th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2014)

Abstract

We introduce a general mapping for encoding quantum communication protocols involving pure states of multiple qubits, unitary transformations, and projective measurements into another set of protocols that employ coherent states of light in a superposition of optical modes, linear optics transformations and measurements with single-photon threshold detectors. This provides a general framework for transforming a wide class of protocols in quantum communication into a form in which they can be implemented with current technology. In particular, we apply the mapping to quantum communication complexity, providing general conditions under which quantum protocols can be implemented with coherent states and linear optics while retaining exponential separations in communication complexity compared to the classical case. Finally, we make use of our results to construct a protocol for the Hidden Matching problem that retains the known exponential gap between quantum and classical one-way communication complexity.

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Juan Miguel Arrazola and Norbert Lütkenhaus. Quantum Communication Complexity with Coherent States and Linear Optics. In 9th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2014). Leibniz International Proceedings in Informatics (LIPIcs), Volume 27, pp. 36-47, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2014)

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@InProceedings{arrazola_et_al:LIPIcs.TQC.2014.36,
  author =	{Arrazola, Juan Miguel and L\"{u}tkenhaus, Norbert},
  title =	{{Quantum Communication Complexity with Coherent States and Linear Optics}},
  booktitle =	{9th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2014)},
  pages =	{36--47},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-73-6},
  ISSN =	{1868-8969},
  year =	{2014},
  volume =	{27},
  editor =	{Flammia, Steven T. and Harrow, Aram W.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TQC.2014.36},
  URN =		{urn:nbn:de:0030-drops-48044},
  doi =		{10.4230/LIPIcs.TQC.2014.36},
  annote =	{Keywords: Quantum Communication Complexity, Quantum Optics}
}

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Quantum Communication Complexity with Coherent States and Linear Optics

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