Results 1 to 10 of about 840 (63)

Entanglement witnesses and separability criteria based on generalized equiangular tight frames [PDF]

Scientific Reports
In quantum information theory, measurements are represented by positive, operator-valued measures. In this paper, we use the operators corresponding to generalized equiangular measurements to construct positive maps.
Katarzyna Siudzińska
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Correction: Entanglement witnesses and separability criteria based on generalized equiangular tight frames [PDF]

Scientific Reports
Katarzyna Siudzińska
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Mutually unbiased frames [PDF]

Quantum, 2022
In this work, the concept of mutually unbiased frames is introduced as the most general notion of unbiasedness for sets composed by linearly independent and normalized vectors.
Fabián Caro Pérez, Victor Gonzalez Avella, Dardo Goyeneche   +2 more
doaj   +1 more source

On representation of Parseval frames

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
This paper investigates properties of Parseval frames in finite dimensional vector spaces, namely, the possibility of representing some frames as sums of others.
I. S. Ryabtsov
doaj   +3 more sources

Tremain equiangular tight frames [PDF]

, 2017
Equiangular tight frames provide optimal packings of lines through the origin. We combine Steiner triple systems with Hadamard matrices to produce a new infinite family of equiangular tight frames.
Fickus, Matthew, Jasper, John, Mixon, Dustin G., Peterson, Jesse   +3 more
core   +3 more sources

Approximate equiangular tight frames for compressed sensing and CDMA applications

EURASIP Journal on Advances in Signal Processing, 2017
Performance guarantees for recovery algorithms employed in sparse representations, and compressed sensing highlights the importance of incoherence. Optimal bounds of incoherence are attained by equiangular unit norm tight frames (ETFs). Although ETFs are
Evaggelia Tsiligianni, Lisimachos P. Kondi, Aggelos K. Katsaggelos   +2 more
doaj   +1 more source

A brief introduction to equi-chordal and equi-isoclinic tight fusion frames [PDF]

, 2017
Equi-chordal and equi-isoclinic tight fusion frames (ECTFFs and EITFFs) are both types of optimal packings of subspaces in Euclidean spaces. In the special case where these subspaces are one-dimensional, ECTFFs and EITFFs both correspond to types of ...
Fickus, Matthew, Jasper, John, Mixon, Dustin G., Watson, Cody E.   +3 more
core   +3 more sources

An asymptotic existence result on compressed sensing matrices [PDF]

, 2015
For any rational number $h$ and all sufficiently large $n$ we give a deterministic construction for an $n\times \lfloor hn\rfloor$ compressed sensing matrix with $(\ell_1,t)$-recoverability where $t=O(\sqrt{n})$. Our method uses pairwise balanced designs
Bryant, Darryn, Catháin, Padraig Ó
core   +2 more sources

The road to deterministic matrices with the restricted isometry property [PDF]

, 2012
The restricted isometry property (RIP) is a well-known matrix condition that provides state-of-the-art reconstruction guarantees for compressed sensing.
A.S. Bandeira, Afonso S. Bandeira, B. Alexeev, B. Bollobás, B. Laurent, B.K. Natarajan, D.L. Donoho, Dustin G. Mixon, E.J. Candès, E.J. Candès, E.J. Candès, F.R.K. Chung, H. Rauhut, H. Sachs, J. Bourgain, J.H. Lint van, J.J. Seidel, J.M. Renes, K.R. Davidson, L. Applebaum, L.R. Welch, M. Fickus, M. Rudelson, Matthew Fickus, N. Alon, P. Stevenhagen, P. Xia, Percy Wong, R. Baraniuk, R. Peralta, R.A. DeVore, S. Gerschgorin, S. Hoory, S. Waldron, S.D. Cohen, S.N. Bernstein, S.W. Graham, T. Strohmer, V. Temlyakov, V.V. Yurinskii   +39 more
core   +3 more sources

Projection Matrix Design for Co-Sparse Analysis Model Based Compressive Sensing

MATEC Web of Conferences, 2018
Co-sparse analysis model based-compressive sensing (CAMBCS) has gained attention in recent years as alternative to conventional sparse synthesis model based (SSMB)-CS.
Oey Endra, Gunawan Dadang, Sudiana Dodi
doaj   +1 more source