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Related Experiment Videos

High-Dimensional Quantum Communication Complexity beyond Strategies Based on Bell's Theorem.

Daniel Martínez1,2, Armin Tavakoli3, Mauricio Casanova1,2

  • 1Departamento de Física, Universidad de Concepción, 160-C Concepción, Chile.

Physical Review Letters
|October 27, 2018
PubMed
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High-dimensional quantum communication offers superior advantages over entanglement-based quantum resources for communication complexity problems. This quantum communication approach surpasses classical limits and even post-quantum correlations in higher dimensions.

Area of Science:

  • Quantum Information Science
  • Quantum Communication
  • Computational Complexity

Background:

  • Quantum resources, such as entanglement, can enhance classical communication complexity problems (CCPs).
  • Existing quantum approaches often rely on shared entanglement and Bell inequality violations.
  • An alternative approach involves quantum communication using single quantum systems.

Purpose of the Study:

  • To investigate the advantages of quantum communication over entanglement-based strategies in high-dimensional Hilbert spaces for CCPs.
  • To explore the benefits of high-dimensional quantum communication for specific CCPs based on facet Bell inequalities.
  • To experimentally demonstrate and quantify the advantage of quantum communication as a function of Hilbert space dimension.

Main Methods:

Related Experiment Videos

  • Focus on communication complexity problems based on facet Bell inequalities.
  • Implement quantum communication strategies using systems in Hilbert spaces up to ten dimensions.
  • Compare the performance of quantum communication with entanglement-based strategies and post-quantum correlations.
  • Investigate the role of non-rank-one projective measurements.

Main Results:

  • Quantum communication demonstrates an increasing advantage over Bell inequality violation strategies with growing Hilbert space dimension.
  • For sufficiently high dimensions, quantum communication outperforms post-quantum Bell correlations limited by macroscopic locality.
  • The observed advantages are linked to the use of non-rank-one projective measurements.
  • An experimental semi-device-independent falsification of such measurements is provided for dimension six.

Conclusions:

  • High-dimensional quantum communication provides a distinct advantage over entanglement-based quantum resources for solving communication complexity problems.
  • This approach offers a pathway to surpass classical and even some quantum correlation limitations.
  • The findings highlight the importance of non-rank-one projective measurements in achieving these quantum advantages.