Quantum knots

Louis H. Kauffman; Samuel J. Lomonaco Jr.

doi:10.1117/12.544072

24 August 2004 Quantum knots

Louis H. Kauffman, Samuel J. Lomonaco Jr.

Proceedings Volume 5436, Quantum Information and Computation II; (2004) https://doi.org/10.1117/12.544072
Event: Defense and Security, 2004, Orlando, Florida, United States

Abstract

This paper proposes the definition of a quantum knot as a linear superposition of classical knots in three dimensional space. The definition is constructed and applications are discussed. Then the paper details extensions and also limitations of the Aravind Hypothesis for comparing quantum measurement with classical topological measurement. We propose a separate, network model for quantum evolution and measurement, where the background space is replaced by an evolving network. In this model there is an analog of the Aravind Hypothesis that promises to directly illuminate relationships between physics, topology and quantum knots.

Citation Download Citation

Louis H. Kauffman and Samuel J. Lomonaco Jr. "Quantum knots", Proc. SPIE 5436, Quantum Information and Computation II, (24 August 2004); https://doi.org/10.1117/12.544072

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