Generation of Kochen-Specker Contextual Sets in Higher Dimensions by Dimensional Upscaling Whose Complexity Does Not Scale with Dimension and Their Applications

Authors

Mladen Pavičić, Ruder Bošković Institute
Mordecai Waegell, Chapman UniversityFollow

Document Type

Article

Publication Date

7-3-2024

Abstract

Recently, handling of contextual sets, in particular Kochen-Specker (KS) sets, in higher dimensions has been given an increasing attention, both theoretically and experimentally. However, methods of their generation are diverse, not generally applicable in every dimension, and of exponential complexity. Therefore, we design a dimensional upscaling method, whose complexity does not scale with dimension. As a proof of principle we generate manageable-sized KS master sets in up to 27 dimensional spaces and show that well over 32 dimensions can be reached. From these master sets we obtain an ample number of smaller KS sets. We discuss three kinds of applications that work with KS sets in higher dimensions. We anticipate other applications of KS sets for quantum information processing that make use of large families of nonisomorphic KS sets.

Comments

This article was originally published in Physical Review A, volume 110, in 2024. https://doi.org/10.1103/PhysRevA.110.012205

Recommended Citation

M. Pavičić and M. Waegell, Generation of Kochen-Specker contextual sets in higher dimensions by dimensional upscaling whose complexity does not scale with dimension and their applications, Phys. Rev. A 110, 012205 (2024). https://doi.org/10.1103/PhysRevA.110.012205

Peer Reviewed

1

Copyright

American Physical Society