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Experimental contextuality in classical light.

Tao Li1,2, Qiang Zeng1, Xinbing Song1

  • 1Beijing Key Laboratory of Nanophotonics &Ultrafine Optoelectronic Systems, School of Physics, Beijing Institute of Technology, 100081, Beijing, China.

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|March 15, 2017
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Summary
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Researchers demonstrated the Klyachko, Can, Binicioglu, and Shumovsky (KCBS) inequality using classical optics. This shows contextuality inequalities can quantify classical field correlations.

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Area of Science:

  • Quantum Information Science
  • Classical Optics
  • Mathematical Physics

Background:

  • The Klyachko, Can, Binicioglu, and Shumovsky (KCBS) inequality is a key contextuality inequality for three-level systems.
  • Previous demonstrations of the KCBS inequality have primarily utilized quantum states.

Purpose of the Study:

  • To construct a classical analogue of the KCBS inequality using classical optical fields.
  • To experimentally test the KCBS inequality and its geometrical form (Wright's inequality) in a classical context.
  • To explore the applicability of contextuality inequalities in describing classical optical coherence.

Main Methods:

  • Utilized path and polarization degrees of freedom of classical optics fields.
  • Constructed a classical trit (cetrit) system.
  • Implemented projection measurements to test the inequalities.

Main Results:

  • Successfully constructed the classical trit (cetrit).
  • Observed clear violations of the KCBS inequality and its geometrical form (Wright's inequality).
  • Demonstrated that classical optical fields can exhibit contextuality violations.

Conclusions:

  • Contextuality inequalities, like the KCBS inequality, are not limited to quantum mechanics.
  • These inequalities can serve as quantitative tools to describe correlation characteristics in classical optical coherence.
  • The findings suggest a potential bridge between quantum contextuality and classical field correlations.