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Quantizing Knots and Beyond
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This paper formulates a generalization of our work on quantum knots to explain how to make quantum versions of algebraic, combinatorial and topological structures. We include a description of previous work on the construction of Hilbert spaces from the states of the bracket polynomial with applications to algorithms for the Jones polynomial and relations with Khovanov homology. The purpose of this paper is to place such constructions in a general context of the quantization of mathematical structures.
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Cited by 1 Pith paper
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Knot your average qutrit: Measurement-induced entanglement splitting and the cabling dictionary for GHZ and W States
For qutrit GHZ and symmetric W states, the way entanglement splits after measuring one particle is determined by repeated-index versus all-different-index structure, not by the GHZ-versus-W label.
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