The Golay codes and Quantum Contextuality

Abstract

It is shown that the codewords of the binary and ternary Golay codes can be converted into rays in RP(23) and RP(11) that provide proofs of the Kochen-Specker theorem in real state spaces of dimension 24 and 12, respectively. Some implications of these results are discussed.

12 pages, 4 tables, 1 figure

References in corpus (6)

• Device-independent security of quantum cryptography against collective attacks
• A simple test for hidden variables in spin-1 system
• Experimental test of quantum contextuality in neutron interferometry
• State-independent quantum contextuality with single photons
• Strong Kochen-Specker theorem and incomputability of quantum randomness
• Vector Generation of Quantum Contextual Sets in Even Dimensional Hilbert Spaces

Cited by in corpus (1)

• Generation of Kochen-Specker contextual sets in higher dimensions by dimensional upscaling whose complexity does not scale with dimension and their applications