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Generalized coherence vector applied to coherence transformations and quantifiers
(American Physical Society, 2021-01-11)
One of the main problems in any quantum resource theory is the characterization of the conversions between resources by means of the free operations of the theory. In this work we advance on this characterization within ...
Sobolev Orthogonal Polynomials on the Unit Circle and Coherent Pairs of Measures of the Second Kind
(2017-06-01)
We refer to a pair of non trivial probability measures (μ0, μ1) supported on the unit circle as a coherent pair of measures of the second kind on the unit circle if the corresponding sequences of monic orthogonal polynomials ...
Zeros of Gegenbauer-Sobolev Orthogonal Polynomials: Beyond Coherent Pairs
(Springer, 2009-01-01)
Iserles et al. (J. Approx. Theory 65: 151-175, 1991) introduced the concepts of coherent pairs and symmetrically coherent pairs of measures with the aim of obtaining Sobolev inner products with their respective orthogonal ...
Zeros of Gegenbauer-Sobolev Orthogonal Polynomials: Beyond Coherent Pairs
(Springer, 2009-01-01)
Iserles et al. (J. Approx. Theory 65: 151-175, 1991) introduced the concepts of coherent pairs and symmetrically coherent pairs of measures with the aim of obtaining Sobolev inner products with their respective orthogonal ...
Resource-theoretic approach to vectorial coherence
(Optical Society of America, 2018-03)
We propose a formal resource-theoretic approach to assess the coherence between partially polarized electromagnetic fields. From this framework, we identify two resource theories for the vectorial coherence: polarization-sensitive ...
Coherence characteristics of random lasing in a dye doped hybrid powder
(2014)
The photon statistics of the random laser emission of a Rhodamine B doped di-ureasil hybrid powder is investigated to evaluate its degree of coherence above threshold. Although the random laser emission is a weighted average ...
An Extension of the Coherent Pair of Measures of the Second Kind on the Unit Circle
(2021-01-01)
This paper deals with sequences of monic polynomials { Φn(μk;z)}n≥0, k = 0, 1, orthogonal with respect to two nontrivial Borel measures μk, k = 0, 1, supported on the unit circle, satisfying (formula presented) n ≥ 3, where ...
Polarization sensitive and Mueller matrix OCT measurements and data analysis
(Society of Photho-optical Instrumentation Engineers, 2014)