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Constructing Mutually Unbiased Bases from Quantum Latin Squares [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2017
We introduce orthogonal quantum Latin squares, which restrict to traditional orthogonal Latin squares, and investigate their application in quantum information science.
Benjamin Musto
doaj   +4 more sources

Orthogonal bases of invariants in tensor models [PDF]

open access: yesJournal of High Energy Physics, 2018
Representation theory provides an efficient framework to count and classify invariants in tensor models of (gauge) symmetry G d = U(N 1) ⊗ · · · ⊗ U(N d ) . We show that there are two natural ways of counting invariants, one for arbitrary G d and another
Pablo Diaz, Soo-Jong Rey
doaj   +4 more sources

Orthogonal color bases for exotic representations

open access: yesPhysics Letters B
A complication in the treatment of any strongly charged particle is the SU(3) color structure. For the standard model quarks, antiquarks and gluons there are various well-known strategies for dealing with the color structure, including orthogonal ...
Malin Sjodahl
doaj   +3 more sources

Discrete orthogonal transforms with bases generated by self-similar sequences [PDF]

open access: yesКомпьютерная оптика, 2018
New bases of discrete orthogonal transforms associated with some recursive processes and possessing a property of self-similarity are introduced and investigated in the paper.
Vladimir Chernov
doaj   +1 more source

On scalar products in higher rank quantum separation of variables

open access: yesSciPost Physics, 2020
Using the framework of the quantum separation of variables (SoV) for higher rank quantum integrable lattice models [1], we introduce some foundations to go beyond the obtained complete transfer matrix spectrum description, and open the way to the ...
Jean Michel Maillet, Giuliano Niccoli, Louis Vignoli
doaj   +1 more source

Quadratic Phase Multiresolution Analysis and the Construction of Orthonormal Wavelets in L2(ℝ)

open access: yesAxioms, 2023
The multi-resolution analysis (MRA) associated with quadratic phase Fourier transform (QPFT) serves as a tool to construct orthogonal bases of the L2(R). Consequently, it assumes a pivotal role in facilitating potential applications of QPFT.
Bivek Gupta   +3 more
doaj   +1 more source

Gabor orthogonal bases and convexity

open access: yesDiscrete Analysis, 2018
Gabor orthogonal bases and convexity, Discrete Analysis 2018:19, 11 pp. A fundamental way of understanding a function $f$ defined on $\mathbb R^d$ is to expand it in terms of a basis with nice properties.
Alex Iosevich, Azita Mayeli
doaj   +1 more source

Features of the construction of information transfer system which using two-dimensional signals [PDF]

open access: yesITM Web of Conferences, 2019
The article deals with analysis of the causes of intersymbol interference and interchannel interference. It is indicated that physically unrealizable orthogonal bases are used to describe systems and signals. The considered interference occurs due to the
Degtyaryov Andrey, Miryanova Vera
doaj   +1 more source

Orthogonal bases in a topological algebra are Schauder bases

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
In a topological algebra with separately continuous multiplication, the result quoted in the title is proved.
Subbash J. Bhatt, G. M. Deheri
doaj   +1 more source

Orthogonal bases in specific generalized symmetry classes of tensors [PDF]

open access: yesJournal of Mahani Mathematical Research
Let $V$ be a unitary vector space. Suppose $G$ is a permutation group of degree $m$ and $\Lambda$ is an irreducible unitary representation of $G$. We denote by $V_{\Lambda}(G)$ the generalized symmetry class of tensors associated with $G$ and $\Lambda ...
Gholamreza Rafatneshan, Yousef Zamani
doaj   +1 more source

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