scholarly journals Complex Hadamard matrices and equiangular tight frames

2013 ◽  
Vol 438 (4) ◽  
pp. 1962-1967 ◽  
Author(s):  
Ferenc Szöllősi
Keyword(s):  
Hadamard Matrices ◽  
Tight Frames ◽  
Equiangular Tight Frames

scholarly journals Steiner equiangular tight frames

2012 ◽  
Vol 436 (5) ◽  
pp. 1014-1027 ◽  
Author(s):  
Matthew Fickus ◽  
Dustin G. Mixon ◽  
Janet C. Tremain
Keyword(s):  
Tight Frames ◽  
Equiangular Tight Frames

Equiangular tight frames

2009 ◽  
Vol 157 (6) ◽  
pp. 789-815 ◽  
Author(s):  
V. N. Malozemov ◽  
A. B. Pevnyi
Keyword(s):  
Tight Frames ◽  
Equiangular Tight Frames

Quasi-symmetric designs and equiangular tight frames

2015 ◽  
Author(s):  
Matthew Fickus ◽  
John Jasper ◽  
Dustin Mixon ◽  
Jesse Peterson
Keyword(s):  
Tight Frames ◽  
Symmetric Designs ◽  
Equiangular Tight Frames

scholarly journals Equiangular tight frames and fourth root seidel matrices

2010 ◽  
Vol 432 (11) ◽  
pp. 2816-2823 ◽  
Author(s):  
David M. Duncan ◽  
Thomas R. Hoffman ◽  
James P. Solazzo
Keyword(s):  
Tight Frames ◽  
Equiangular Tight Frames ◽  
Seidel Matrices ◽  
Fourth Root

scholarly journals Equiangular Tight Frames From Hyperovals

2016 ◽  
Vol 62 (9) ◽  
pp. 5225-5236 ◽  
Author(s):  
Matthew Fickus ◽  
Dustin G. Mixon ◽  
John Jasper
Keyword(s):  
Tight Frames ◽  
Equiangular Tight Frames

scholarly journals Tetris Tight Frames Construction via Hadamard Matrices

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
A. Abdollahi ◽  
M. Monfaredpour
Keyword(s):  
Hadamard Matrices ◽  
New Method ◽  
Tight Frames ◽  
Frame Operator ◽  
Elementary Construction ◽  
Unit Norm

We present a new method to construct unit norm tight frames by applying altered Hadamard matrices. Also we determine an elementary construction which can be used to produce a unit norm frame with prescribed spectrum of frame operator.

scholarly journals Tremain equiangular tight frames

2018 ◽  
Vol 153 ◽  
pp. 54-66 ◽  
Author(s):  
Matthew Fickus ◽  
John Jasper ◽  
Dustin G. Mixon ◽  
Jesse Peterson
Keyword(s):  
Tight Frames ◽  
Equiangular Tight Frames

scholarly journals Optimal fingerprinting strategies with one-sided error

2007 ◽  
Vol 7 (3) ◽  
pp. 243-264
Author(s):  
A.J. Scott ◽  
J. Walgate ◽  
B.C. Sanders
Keyword(s):  
Message Passing ◽  
Tight Frames ◽  
Worst Case ◽  
Classical Information ◽  
Equiangular Tight Frames ◽  
The One ◽  
Extremal Set ◽  
The Cost ◽  
Made In ◽  
Quantum Fingerprinting

Fingerprinting enables two parties to infer whether the messages they hold are the same or different when the cost of communication is high: each message is associated with a smaller fingerprint and comparisons between messages are made in terms of their fingerprints alone. In the simultaneous message passing model, it is known that fingerprints composed of quantum information can be made exponentially smaller than those composed of classical information. For small message lengths, we present constructions of optimal classical fingerprinting strategies with one-sided error, in both the one-way and simultaneous message passing models, and provide bounds on the worst-case error probability with the help of extremal set theory. The performance of these protocols is then compared to that for quantum fingerprinting strategies constructed from spherical codes, equiangular tight frames and mutually unbiased bases.

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