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M J Kewming1, S Shrapnel1, A G White1

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Quantum mechanics allows information to be hidden in a system such that ignorance of the whole doesn't imply ignorance of its parts. This study experimentally verifies this quantum phenomenon in high-dimensional systems.

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Area of Science:

  • Quantum Information Science
  • Quantum Foundations
  • High-Dimensional Quantum Systems

Background:

  • Classical intuition suggests that ignorance of a system implies ignorance of its components.
  • Quantum theory presents a counterintuitive scenario where parts of a system can remain unknown even when the whole is partially unknown.

Purpose of the Study:

  • To experimentally verify the quantum phenomenon where information is encoded such that ignorance of the whole system does not imply ignorance of its parts.
  • To demonstrate this effect in high-dimensional quantum systems (d>9), which are necessary for experimental verification.

Main Methods:

  • Utilized the transverse spatial modes of light as a resource for high-dimensional quantum experiments.
  • Developed and implemented experimental techniques to control and measure these high-dimensional quantum systems.

Main Results:

  • Provided the first experimental evidence for the quantum phenomenon of "ignorance of the whole does not imply ignorance of the parts."
  • Successfully demonstrated this effect in a high-dimensional system (d>9) using light's spatial modes.

Conclusions:

  • The experimental results confirm the predictions of quantum theory regarding information encoding and ignorance.
  • This work validates the use of high-dimensional photonic systems for testing fundamental quantum phenomena and exploring quantum information protocols.