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Open Quantum Systems Decoherence
Quantum Simulation
Maximal Sets of Equiangular Lines
arXiv
Authors: Blake C. Stacey
Year
2020
Paper ID
21102
Status
Preprint
Abstract Read
~2 min
Abstract Words
101
Citations
N/A
Abstract
I introduce the problem of finding maximal sets of equiangular lines, in both its real and complex versions, attempting to write the treatment that I would have wanted when I first encountered the subject. Equiangular lines intersect in the overlap region of quantum information theory, the octonions and Hilbert's twelfth problem. The question of how many equiangular lines can fit into a space of a given dimension is easy to pose - a high-school student can grasp it - yet it is hard to answer, being as yet unresolved. This contrast of ease and difficulty gives the problem a classic charm.
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- I introduce the problem of finding maximal sets of equiangular lines, in both its real and complex versions, attempting to write the treatment that I would have wanted when I...
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