Experimental Test of High-Dimensional Quantum Contextuality Based on Contextuality Concentration.

Area of Science:

• Quantum Information Science
• Quantum Foundations
• Experimental Quantum Physics

Background:

• Contextuality is a key quantum theory feature and resource for quantum computation.
• Existing high-dimensional contextuality examples lack experimental robustness.
• Multipartite Bell nonlocality is a related concept in quantum mechanics.

Purpose of the Study:

• To identify robust noncontextuality inequalities for high-dimensional quantum systems.
• To demonstrate contextuality concentration in lower-dimensional Hilbert spaces.
• To experimentally validate these findings in a practical quantum setup.

Main Methods:

• Identification of a family of noncontextuality inequalities with dimension-dependent quantum violation.
• Theoretical analysis of contextuality concentration in Hilbert space.
• Experimental implementation using destructive measurements and repreparation in an all-optical setup.

Main Results:

• A family of inequalities where quantum violation scales with system dimension was identified.
• Contextuality was shown to concentrate in lower-dimensional systems.
• A significant violation (68.7 standard deviations) of inequalities was experimentally observed in a seven-dimensional system.

Conclusions:

• The study provides a robust method for observing high-dimensional contextuality.
• Contextuality concentration offers a resource-efficient approach for quantum information processing.
• The findings advance the understanding of high-dimensional contextuality and its applications in quantum computation.