Converting nonlocality into contextuality
Karl Svozil
TL;DR
This paper explores how matrix pencils can be used to analyze quantum logical structures, revealing fundamental contradictions between classical and quantum predictions in specific multi-qubit systems.
Contribution
It introduces a novel application of matrix pencil techniques to quantum contextuality and nonlocality, specifically analyzing the Peres-Mermin square and GHZ-Mermin configurations.
Findings
Identifies complete contradictions between classical and quantum predictions
Analyzes quantum logical structures of specific multi-qubit systems
Uncovers analogous contradictions in a four-dimensional two-spin-1/2 system
Abstract
Matrix pencils provide a robust method for finding simultaneous eigensystems of mutually commuting degenerate operators. In this paper, we utilize these techniques to investigate the quantum logical structures of the Peres-Mermin square and the Greenberger-Horne-Zeilinger-Mermin configuration. Our analysis uncovers analogous complete contradictions between classical and quantum predictions in a four-dimensional system involving two spin-1/2 particles.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsQuantum Information and Cryptography · Quantum Mechanics and Applications · Quantum Computing Algorithms and Architecture