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- W4287906188 abstract "An equiangular tight frame (ETF) yields a type of optimal packing of lines in a Euclidean space. ETFs seem to be rare, and all known infinite families of them arise from some type of combinatorial design. In this paper, we introduce a new method for constructing ETFs. We begin by showing that it is sometimes possible to construct multiple ETFs for the same space that are mutually unbiased in a way that is analogous to the quantum-information-theoretic concept of mutually unbiased bases. We then show that taking certain tensor products of these mutually unbiased ETFs with other ETFs sometimes yields infinite families of new complex ETFs." @default.
- W4287906188 created "2022-07-26" @default.
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- W4287906188 date "2020-01-07" @default.
- W4287906188 modified "2023-09-24" @default.
- W4287906188 title "Mutually Unbiased Equiangular Tight Frames" @default.
- W4287906188 doi "https://doi.org/10.48550/arxiv.2001.02055" @default.
- W4287906188 hasPublicationYear "2020" @default.
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