Eigenlogic: Interpretable Quantum Observables with applications to Fuzzy Behavior of Vehicular Robots

This work proposes a formulation of propositional logic, named Eigenlogic, using quantum observables as propositions. The eigenvalues of these operators are the truth-values and the associated eigenvectors the interpretations of the propositional system. Fuzzy logic arises naturally when considering vectors outside the eigensystem, the fuzzy membership function is obtained by the Born rule of the logical observable.This approach is then applied in the context of quantum robots using simple behavioral agents represented by Braitenberg vehicles. Processing with non-classical logic such as multivalued logic, fuzzy logic and the quantum Eigenlogic permits to enlarge the behavior possibilities and the associated decisions of these simple agents

Interpolation Methods for Binary and Multivalued Logical Quantum Gate Synthesis

A method for synthesizing quantum gates is presented based on interpolation methods applied to operators in Hilbert space. Starting from the diagonal forms of specific generating seed operators with non-degenerate eigenvalue spectrum one obtains for arity-one a complete family of logical operators corresponding to all the one-argument logical connectives. Scaling-up to n-arity gates is obtained by using the Kronecker product and unitary transformations. The quantum version of the Fourier transform of Boolean functions is presented and a Reed-Muller decomposition for quantum logical gates is derived. The common control gates can be easily obtained by considering the logical correspondence between the control logic operator and the binary propositional logic operator. A new polynomial and exponential formulation of the Toffoli gate is presented. The method has parallels to quantum gate-T optimization methods using powers of multilinear operator polynomials. The method is then applied naturally to alphabets greater than two for multi-valued logical gates used for quantum Fourier transform, min-max decision circuits and multivalued adders

Enunciation and topic/comment structure: the offensive replies to Pope Francis' tweets

Sentiment analysis is an automatised technique of analysis aimed to measure the â polarityâ and the â subjectivityâ of large corpora of messages. The case study of the present paper consists of a selection of Pope Francisâ tweets on ecological, social, religious themes and the relative polemic replies. In the degree of agreement/disagreement in response to a tweet, the referential function is not relevant; the emotive and conative functions prevail. The political strategies aimed at corroborating or refuting claims in terms of â fact checkingâ seem not relevant to these forms of communication based on personal enunciation, on the relation between the two simulacra â meâ and â youâ , and on the manifestation of one's own comment with respect to a topic. Furthermore, the techniques aimed at detecting the presence of hate speeches to apply, possibly, a precautionary censorship are lexical-sensitive, and fail to consider the context in which words co-occur. Finally, the paper presents a technique of analysis based on quantum information retrieval which can provide new insights on the relation between hashtag, address sign, topic, and reply

Contribution à la modélisation et la caractérisation de composants et systèmes optoélectroniques: Non linéarités dans les lasers à semiconducteurs

Contribution à la modélisation et la caractérisation de composants et systèmes optoélectroniques: Non linéarités dans les lasers à semiconducteurs. Spectres des modes laser à semiconducteur. Distorsions, intermodulations et chirp dans les lasers monomodes DFB. Lasers à structure complexe, DBR et en barrette, influence des effets thermiques. Chaos dans les lasers et dans les oscillateurs : une approche pluridisciplinaire. Liaisons optiques infra-rouge en espace libre et par fibres optiques. Recherche en simulation des systèmes de télécommunications optiques. Nouvelle plateforme d’étude et caractérisation de modulesoptoélectroniques. RMN des conducteurs et supraconducteurs organiques : ma thèse au CEA de l’Orme des Merisiers. Recherche dans le domaine de l’électromagnétisme aux très hauts énergies. Perspectives en physique quantique

Raies R. M. N. Dans les métaux organiques (TMTSF)₂PF₆ et (TMTSF)₂ClO₄ : incommensurabilité de l'onde de densité de Spin

For the first time in the SDW state of the organic conductors (TMTSF)2PF6 and (TMTSF)2ClO4 the amplitude of the order parameter and the nesting vector are determined, from a detailed analysis of the methyl proton NMR line-shape for various magnetic field orientations. Il the paramagnetic metallic state, the fast rotational tunneling of the two un-equivalent methyl groups splits the line into one central line and two pairs of satellites with shifts depending on field orientation, in good agreement with theory. In the SDW state, the local fields due to the ordered magnetic structure lead to an important broadening of the line. By a careful analysis of the lineshape and its evolution in terms of field orientations, we prove, for both compounds, that the SDW is incommensurate; we are able to determine the local fields at each methyl site and separate the dipolar contribution from the hyperfine contact term; we deduce both the amplitude and wave vector of the SDW. The b* component of the nesting vector Qb (b* reciprocal lattice basis vector) for (TMTSF)2PF6 is in contradiction with simple theories leading to commensurate values (Qb=0 or Qb=0.5b*) but agrees with the consequences of realistic tight binding band calculations. The Q vector is different in (TMTSF)2ClO4 in agreement with the theoretical prediction that Q depends on the nature of anion and experimental conditions like pressure.Dans l’état d’onde de densité de spin (ODS) des conducteurs organiques (TMTSF)₂ClO₄ et (TMTSF)₂PF₆, l’amplitude du paramètre d’ordre et le vecteur de Nesting Q̅ sont déterminés à partir d’une analyse détaillée de la forme de raie R. M. N. Des protons des groupes méthyles, pour diverses orientations du champ. Dans l’état métallique (paramagnétique), la rotation rapide par effet tunnel de deux groupes méthyles non-équivalents donne une raie centrale et deux paires de satellites avec des déplacements variables suivant l’orientation du champ magnétique, en bon accord avec la théorie. Dans l’état onde de densité de spin, les champs locaux dus à la structure magnétique ordonnée entrainent un élargissement important de la raie. Par une étude approfondie de la forme de raie et de son évolution en fonction de l’orientation du champ, nous prouvons que, pour ces deux composés, l’ODS est incommensurable ; nous déterminons les champs locaux correspondant à chaque groupe méthyle et séparons la contribution dipolaire du terme de contact hyperfin ; nous déduisons l’amplitude δ et le vecteur d’onde Q̅ de l’ODS. L’amplitude δ = 8% +̠ 2% (en unité μB par molécule) pour PF₆ est très supérieure à certaines estimations antérieures. La composante du vecteur de Nesting suivant le vecteur de base b̅* pour PF₆ est en contradiction avec les modèles théoriques simples conduisant à Q̅b = 0 ou Q̅b = 0. 5 b̅*, mais correspond aux résultats d’un calcul de bande réaliste, dans l’approximation des liaisons fortes. Le vecteur Q̅ est différent dans (TMTSF)₂ClO₄, en accord avec les prédictions théoriques suivant lesquelles Q̅ dépend de la nature de l’anion et des conditions expérimentales (pression)

Entanglement and Semantics : Application to Language Processing

International audienceA lexeme can be represented as a vector in a Hilbert space. Each element of the vector represents the weight of a semantic relation with a second vector: the context of a second lexeme. Two query operators are defined in a way that they attribute the value +1 to the component of the state that corresponds to the word meaning we are interested in, and -1 in the orthogonal direction. Entangled states have been used to detect semantic relationships in Information Retrieval (IR). In particular, since the first operator corresponds to negation and the conditional gate corresponds to an implication in classical logic, they can represent two basic semantic relationships : hyponymy (e.g. genus-species) and antonymy (e.g. masculine-feminine). In fact, according to Semantics, if A and B are antonymic terms, then A is an hyponym of (i.e. implies) not-B as in the Gremias semiotic square. We underline how the relations of a given semantic universe, and the corresponding result of our operators, depends only on the considered text. Among others, this analogy suggests the application of quantum-based models to language and IR