TL;DR
This paper introduces quantum Boolean algebras, extending classical Boolean algebra concepts into a quantum framework, and explores their logical and set-theoretic properties.
Contribution
It presents the first formulation of quantum Boolean algebras as analogues of Weyl algebras for Boolean spaces, with analysis from logical and set-theoretic perspectives.
Findings
Quantum Boolean algebras generalize classical Boolean algebras.
They provide a new algebraic structure for quantum logic.
The paper offers foundational insights into their properties.
Abstract
We introduce quantum Boolean algebras which are the analogue of the Weyl algebras for Boolean affine spaces. We study quantum Boolean algebras from the logical and set theoretical viewpoints.
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
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology