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pro vyhledávání: '"Haas, John"'
We continue the study of optimal chordal packings, with emphasis on packing subspaces of dimension greater than one. Following a principle outlined in a previous work, where the authors use maximal affine block designs and maximal sets of mutually un
Externí odkaz:
http://arxiv.org/abs/1806.03549
We will review the major results in finite dimensional real phase retrieval for vectors and projections. We then (1)prove that many of these theorems hold in infinite dimensions, (2) give counter-examples to show that many others fail in infinite dim
Externí odkaz:
http://arxiv.org/abs/1804.01139
Autor:
Bodmann, Bernhard, Haas, John
In this survey, we relate frame theory and quantum information theory, focusing on quantum 2-designs. These are arrangements of weighted subspaces which are in a specific sense optimal for quantum state tomography. After a brief introduction, we disc
Externí odkaz:
http://arxiv.org/abs/1709.01958
Autor:
Botelho-Andrade, Sara, Casazza, Peter G., Cheng, Desai, Haas, John, Tran, Tin T., Tremain, Janet C., Xu, Zhiqiang
We show that a scalable frame does phase retrieval if and only if the hyperplanes of its orthogonal complements do phase retrieval. We then show this result fails in general by giving an example of a frame for $\mathbb R^3$ which does phase retrieval
Externí odkaz:
http://arxiv.org/abs/1703.02678
We study several interesting examples of Biangular Tight Frames (BTFs) - basis-like sets of unit vectors admitting exactly two distinct frame angles (ie, pairwise absolute inner products) - and examine their relationships with Equiangular Tight Frame
Externí odkaz:
http://arxiv.org/abs/1703.01786
Equiangular tight frames (ETFs) and biangular tight frames (BTFs) - sets of unit vectors with basis-like properties whose pairwise absolute inner products admit exactly one or two values, respectively - are useful for many applications. A well-unders
Externí odkaz:
http://arxiv.org/abs/1610.03142