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Updated: Dec 15, 2025

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
Published on: March 1, 2022
Hiding Ignorance Using High Dimensions
M J Kewming1, S Shrapnel1, A G White1
1Centre for Engineered Quantum Systems, School of Mathematics and Physics, University of Queensland, Brisbane, QLD, 4072, Australia.
Abstract:
The absence of information-entirely or partly-is called ignorance. Naturally, one might ask if some ignorance of a whole system will imply some ignorance of its parts. Our classical intuition tells us yes, however quantum theory tells us no: it is possible to encode information in a quantum system so that despite some ignorance of the whole, it is impossible to identify the unknown part [T. Vidick and S. Wehner, Phys. Rev. Lett. 107, 030402 (2011).PRLTAO0031-900710.1103/PhysRevLett.107.030402]. Experimentally verifying this counterintuitive fact requires controlling and measuring quantum systems of high dimension (d>9). We provide this experimental evidence using the transverse spatial modes of light, a powerful resource for testing high-dimensional quantum phenomena.
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