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Mutually Unbiased Equiangular Tight Frames.
- Source :
-
IEEE Transactions on Information Theory . Mar2021, Vol. 67 Issue 32, p1656-1667. 12p. - Publication Year :
- 2021
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *PACKING problem (Mathematics)
*DISCRETE Fourier transforms
*EXCHANGE traded funds
Subjects
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 67
- Issue :
- 32
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 148822588
- Full Text :
- https://doi.org/10.1109/TIT.2020.3042735