Noncommutative Equiangular Lines: van Lint-Seidel Relative and Gerzon Universal Bounds

2025/05/02 by Krishna, K. Mahesh
#46L05 #46L08 #Combinatorics (math.CO) #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2507.18635

Abstract

We introduce the notion of noncommutative equiangular lines and derive noncommutative versions of fundamental van Lint-Seidel relative and Gerzon universal bounds.

Citations

• p-adic Equiangular Lines and p-adic van Lint-Seidel Relative Bound
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• Complex Equiangular Tight Frames and Erasures
• Tight informationally complete quantum measurements
• Symmetric informationally complete quantum measurements
• Packing Lines, Planes, etc.: Packings in Grassmannian Space

Related

• p-adic Equiangular Lines and p-adic van Lint-Seidel Relative Bound
• New bounds for equiangular lines
• Equiangular lines and the Lemmens-Seidel conjecture
• Large sets of complex and real equiangular lines
• The Lemmens-Seidel conjecture for base size 5