New Constructions of Approximately Mutually Unbiased Bases by Character Sums over Galois Rings
IEICE Transactions on Fundamentals of Electronics Communications and Computer SciencesSUMMARY Mutually unbiased bases (MUBs) are widely used in quantum information processing and play an important role in quantum cryptography, quantum state tomography and communications.
You Gao +3 more
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Bounds for twisted symmetric square $L$-functions
, 2012 Let $f\in S_k(N,\psi)$ be a newform, and let $\chi$ be a primitive character of conductor $q^{\ell}$. Assume that $q$ is a prime and $\ell>1$. In this paper we describe a method to establish convexity breaking bounds of the form $$ L(\tfrac{1}{2},\Sym f ...
Munshi, Ritabrata
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On the two-term exponential sums and character sums of polynomials
Open Mathematics, 2019 The main aim of this paper is to use the analytic methods and the properties of the classical Gauss sums to research the computational problem of one kind hybrid power mean containing the character sums of polynomials and two-term exponential sums modulo
Yuankui Ma, Wenpeng Zhang
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SU(2) nonstandard bases: the case of mutually unbiased bases [PDF]
, 2007 This paper deals with bases in a finite-dimensional Hilbert space. Such a space can be realized as a subspace of the representation space of SU(2) corresponding to an irreducible representation of SU(2). The representation theory of SU(2) is reconsidered
Albouy, O., Kibler, M. R.
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The hybrid power mean of the generalized Gauss sums
Advances in Differential Equations, 2017 The main purpose of this paper is using the analytic method and the orthogonal properties of the character sums to study the computational problem of one kind hybrid power mean of the generalized Gauss sums modp\documentclass[12pt]{minimal} \usepackage ...
Li Chen, Wenpeng Zhang
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An hybrid mean value of quadratic Gauss sums and a sum analogous to Kloosterman sums
Journal of Inequalities and Applications, 2014 The main purpose of this paper is, using the analytic methods and the properties of character sums, to study the computational problem of one kind of hybrid mean value involving the quadratic Gauss sums and a new sum analogous to Kloosterman sums, and to
Xiao-Jun Pan, Han Zhang
semanticscholar +2 more sources
On the Mordell-Weil lattice of y 2 = x 3 + b x + t 3 n + 1 in characteristic 3. [PDF]
Res Number Theory, 2022 Leterrier G.
europepmc +1 more source
On the generalized exponential sums and their fourth power mean
Open MathematicsThe main purpose of this article is to study the calculating problem of the fourth power mean of the two-term exponential sums and provide an accurate calculating formula for utilizing analytical methods and character sums’ properties. In the meantime, a
Wencong Liu, Shushu Ning
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Phase Transitions and Physical Properties of the Mixed Valence Iron Phosphate Fe3(PO3OH)4(H2O)4. [PDF]
Materials (Basel), 2022 Poienar M +10 more
europepmc +1 more source
Simultaneous Momentum and Position Measurement and the Instrumental Weyl-Heisenberg Group. [PDF]
Entropy (Basel), 2023 Jackson CS, Caves CM.
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