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Dimensional discontinuity in quantum communication complexity at dimension seven
Stockholm University, Faculty of Science, Department of Physics. Uniwersytet Gdański, Poland.
Stockholm University, Faculty of Science, Department of Physics.
Number of Authors: 4
2017 (English)In: Physical Review A, ISSN 2469-9926, Vol. 95, no 2, 020302Article in journal (Refereed) Published
Abstract [en]

Entanglement-assisted classical communication and transmission of a quantum system are the two quantum resources for information processing. Many information tasks can be performed using either quantum resource. However, this equivalence is not always present since entanglement-assisted classical communication is sometimes known to be the better performing resource. Here, we show not only the opposite phenomenon, that there exist tasks for which transmission of a quantum system is a more powerful resource than entanglement-assisted classical communication, but also that such phenomena can have a surprisingly strong dependence on the dimension of Hilbert space. We introduce a family of communication complexity problems parametrized by the dimension of Hilbert space and study the performance of each quantum resource. Under an additional assumption of a linear strategy for the receiving party, we find that for low dimensions the two resources perform equally well, whereas for dimension seven and above the equivalence is suddenly broken and transmission of a quantum system becomes more powerful than entanglement-assisted classical communication. Moreover, we find that transmission of a quantum system may even outperform classical communication assisted by the stronger-than-quantum correlations obtained from the principle of macroscopic locality.

Place, publisher, year, edition, pages
2017. Vol. 95, no 2, 020302
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-141415DOI: 10.1103/PhysRevA.95.020302ISI: 000393941900001OAI: oai:DiVA.org:su-141415DiVA: diva2:1089161
Available from: 2017-04-18 Created: 2017-04-18 Last updated: 2017-04-18Bibliographically approved

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