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Sonia

Publications and source records attributed to Sonia.

5 recordsLinked to original sources

Construction of a Non-Linear Entanglement Witness Operator in Arbitrary Dimension Using a Given Linear Witness Operator

Entanglement detection is one of the important problems in quantum information theory. To deal with this problem, many entanglement detection criteria have been proposed. Among the proposed criteria, the detection of entanglement through witness operator (also known as linear entanglement witness (LEW) operator) may be considered as the most practical. Although the witness operator approach to detect entanglement is experimentally friendly, the construction of these operators is not a very simple task. Even if we are able to construct a LEW operator, our problem is not solved as it may either detect a few entangled states or not a single entangled state from a given family of entangled states. Thus, we need a constructive approach in order to tackle this type of problem. In this work, we provide a few constructions of the non-linear entanglement witnesses (NLEW) for $d_1\otimes d_2$ dimensional system from any linear entanglement witness (LEW) operator. The advantage of these constructions is that, if a LEW is unable to detect any particular entangled state described by the density operator $\rho^{ent}$ then our construction of NLEW may detect the same entangled state $\rho^{ent}$. Further, we have constructed NLEW operator that may detect not only a class of bipartite negative partial transpose entangled state (NPTES), but also positive partial transpose entangled state (PPTES). Moreover, we have shown that the constructed NLEW operators may be decomposed in terms of the tensor product of local observables and hence may be realizable in an experiment.

quant-ph

Gluon Wigner Distributions in boost-invariant longitudinal position space

The Wigner distributions (WDs) in boost-invariant longitudinal space for unpolarized, longitudinally polarized and linearly polarized gluons in a proton are presented in the framework of the light-front gluon spectator model inspired by AdS/QCD. The boost-invariant longitudinal space defined by the coordinate $\sigma=\frac{1}{2}b^- P^+$, can be accessed through the Fourier transformation over skewness $\xi$ to the gluon-gluon correlator of generalized transverse momentum dependent distributions (GTMDs). The model results for gluon WDs in $\sigma$-space show an oscillatory behavior analogous to the diffraction scattering of a wave in optics. The diffraction pattern is more sensitive to the momentum fraction $x$ and passively varies with the total energy transfer to the electron-proton scattering $-t$, both of which are analogous to an effective slit-width. The leading-twist gluon WDs in the impact-parameter space and their skewness sensitivity are investigated extensively for unpolarized, longitudinally polarized, and transversely polarized protons. The gluon spin-OAM correlation is also reported and compared with existing models and lattice results.

hep-ph

The Uli Dataset: An Exercise in Experience Led Annotation of oGBV

Online gender based violence has grown concomitantly with adoption of the internet and social media. Its effects are worse in the Global majority where many users use social media in languages other than English. The scale and volume of conversations on the internet has necessitated the need for automated detection of hate speech, and more specifically gendered abuse. There is, however, a lack of language specific and contextual data to build such automated tools. In this paper we present a dataset on gendered abuse in three languages- Hindi, Tamil and Indian English. The dataset comprises of tweets annotated along three questions pertaining to the experience of gender abuse, by experts who identify as women or a member of the LGBTQIA community in South Asia. Through this dataset we demonstrate a participatory approach to creating datasets that drive AI systems.

cs.CL

A comparative study of some analytic approximate methods for the anharmonic oscillator described by cubic quartic potential

The improved formulations of the Lindstedt Poincare perturbation method, the harmonic balance method and its modifications using the rational functions, the energy balance method and the two terms Fourier series expansion have been employed to find approximate solution to the equation of motion for the cubic quartic potential AHO and its special cases (the cubic, the quartic, and the purely cubic quartic potential AHOs), to assess the relative merits and demerits of these techniques. Two new rational functions as approximate solution for the harmonic balance method have been proposed and the rational functions have been used as trial functions in the energy balance method for the first time. The time periods T+ (for q(t) > 0), T- (for q(t) < 0) and the total period T so determined have been compared with the corresponding exact values for an extensive range of the AHO parameter values. The results have been thoroughly analysed in terms of their percentage difference from the relevant exact time period. It is concluded that the methods based on the Lindstedt Poincare perturbation approach do not lead to reliable results for T+ and T-, which makes their applicability for the asymmetric potential AHOs doubtful. The harmonic balance technique together with its different variants is the most successful, while the Fourier series approach also yields commendably accurate results. The outcome of the third-order energy balance method is reasonably good though the usage of the rational functions for this has not been encouraging.

physics.comp-ph

Fuzzy Logic Approach for Threat Prioritization in Agile Security Framework using DREAD Model

For a qualitative system sound security practices must be a crucial part throughout the entire software lifecycle. Furthermore, agile software development has paved the way for overcoming the problems faced by developers during traditional development process. In the given paper we are using an Agile Security Framework that is compatible with practices of agile processes and inherit in it the benefits of security engineering activities in the form of risk assessment and threat prioritization. One of the most popular techniques to deal with ever growing risks associated with security threats is DREAD model. It is used for rating risk of threats identified in the abuser stories. In this model threats needs to be defined by sharp cutoffs. However, such precise distribution is not suitable for risk categorization as risks are vague in nature and deals with high level of uncertainty. In view of these risk factors, our paper proposes a novel fuzzy approach using DREAD model for computing risk level that ensures better evaluation of imprecise concepts. Thus it provides the capacity to include subjectivity and uncertainty during risk ranking. A case study has been presented to illustrate and compare the proposed approach with the existing one using Matlab.

cs.SE