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Proceedings Paper

Quantum knots
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Paper 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.

Paper Details

Date Published: 24 August 2004
PDF: 17 pages
Proc. SPIE 5436, Quantum Information and Computation II, (24 August 2004); doi: 10.1117/12.544072
Show Author Affiliations
Louis H. Kauffman, Univ. of Illinois/Chicago (United States)
Samuel J. Lomonaco, Univ. of Maryland/Baltimore County (United States)

Published in SPIE Proceedings Vol. 5436:
Quantum Information and Computation II
Eric Donkor; Andrew R. Pirich; Howard E. Brandt, Editor(s)

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