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Experimental tests of classical and quantum dimensionality.

Johan Ahrens1, Piotr Badziąg1, Marcin Pawłowski2

  • 1Department of Physics, Stockholm University, S-10691, Stockholm, Sweden.

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|April 29, 2014
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Summary
This summary is machine-generated.

Researchers experimentally tested classical and quantum dimensions using a novel dimension witness. This witness distinguishes between systems of dimensions two, three, and four, with applications in quantum cryptography.

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Area of Science:

  • Quantum Information Science
  • Foundations of Physics
  • Experimental Quantum Mechanics

Background:

  • Distinguishing between classical and quantum systems is fundamental to quantum information science.
  • Dimension witnesses are crucial tools for characterizing quantum systems and their properties.
  • Previous methods often lacked generality or experimental validation across multiple dimensions.

Purpose of the Study:

  • To experimentally test classical and quantum dimensions using a novel dimension witness.
  • To validate the witness's ability to distinguish between systems of dimensions two, three, and four.
  • To present a general analytic method for optimizing dimension witness protocols.

Main Methods:

  • Implementation of a dimension witness capable of discriminating between classical and quantum systems.
  • Experimental execution across five distinct cases involving dimensions two, three, and four.
  • Development of an analytic method for determining the maximum quantum value of linear dimension witnesses.

Main Results:

  • Successful experimental demonstration of the dimension witness across all tested dimensionalities.
  • The witness effectively distinguished between classical and quantum systems.
  • Qubit-based experiments realized semi-device-independent cryptographic and randomness expansion protocols.

Conclusions:

  • The experimental test confirms the efficacy of the chosen dimension witness.
  • The developed analytic method provides a general framework for optimizing dimension witness protocols.
  • This work advances the experimental verification of quantum properties and their applications.