A New Relation between post and pre-optimal measurement states

When an optimal measurement is made on a qubit and what we call an Unbiased Mixture of the resulting ensembles is taken, then the post measurement density matrix is shown to be related to the pre-measurement density matrix through a simple and linear relation. It is shown that such a relation holds only when the measurements are made in Mutually Unbiased Bases- MUB. For Spin-1/2 it is also shown explicitly that non-orthogonal measurements fail to give such a linear relation no matter how the ensembles are mixed. The result has been proved to be true for arbitrary quantum mechanical systems of finite dimensional Hilbert spaces. The result is true irrespective of whether the initial state is pure or mixed.Comment: 4 pages in REVTE

A Multi-Objective Decision-Making Approach For Mutual Fund Portfolio

Investment decision-making problems are generally multi-objective in nature such as minimization of the risk and maximization of the expected return.  These problems can be solved efficiently and effectively using multi-objective decision making (MODM) tools such as a lexicographic goal programming (LGP).  This paper applies the LGP model for selecting an optimum mutual fund portfolio for an investor, while taking into account specific parameters including risk, return, expense ratio and others.  Sensitivity analysis on the assigned weights in a priority structure of the goals identifies all possible solutions for decision-making.  The Euclidean distance method is then used, to measure distances of all possible solutions from the identified ideal solution.  The optimal solution is determined by the minimum distance between the ideal solution and other possible solutions of the problem. The associated weights with the optimal solution will be the most appropriate weights in a given priority structure.  The effectiveness and applicability of the LGP model is demonstrated via a case example from broad categories of mutual funds

The Politics of Representating Dalit Women: A Study of the Newspaper Khabar Lahariya and the Documentary Writing with Fire

Redefining power is the only means to redress the gender bias that women have had to endure in a male-dominated society. As Héléne Cixous declared in “The Laugh of the Medusa” (1975), “écriture feminine” (or women’s writing) is the only way to emphasize women’s perspectives and end stereotyping of women and their opinions in literature. Such ideas helped to transform the representation of women in literature. This transformation is required not only in the literary world, but there is also an urgent need for the realistic representation of women in every section of society. Media being a powerful tool has adapted to this paradigm shift, resulting in the increased visibility of women. Dalit women also need the same reassurance and reception in the media so that their lives are also represented without any bias. Visual media often are biased, because the elite are most often the content creators or the subjects of the content. The representation of women in visual media is increasing in the twenty-first century but Dalit women’s realities are still ignored in the mainstream media. The public domains of arts, politics, and media are still not offering a space for Dalit women. The construction of space itself is a political act especially for the Dalit community. Meera is the chief editor of Khabar Lahariya, India\u27s only newspaper run by Dalit women. The documentary Writing with Fire, directed by Rintu Thomas and Sushmit Ghosh, showcases the redefinition of representation and the power of Dalit women. This study focuses on how a group of Dalit women can enter and break the traditions of the news media in India. With their smartphones, this group confronts real issues that need to be heard through digital journalism. The efforts of journalists like Meera are the means to break the norm of ostracizing Dalit women, and this study tries to identify the possibility of redefining power politics through an inclusion of the Dalit community

A Multi-Objective Decision Making Approach For Mutual Fund Portfolio

Investment decision-making problems are generally multi-objective in nature such as minimization of the risk and maximization of the return.  These problems can be solved efficiently and effectively using multi-objective decision making (MODM) tools such as a lexicographic goal programming (LGP).  This paper applies the LGP model for selecting an optimum mutual fund portfolio for an investor, while taking into account specific parameters including risk, return, expense ratio and others.  Using sensitivity analysis on the weights in a priority structure of the goals identifies all possible solutions in the decision-making process.  The Euclidean distance method is then used, to measure distances of all possible solutions from the identified ideal solution.  The optimum possible solution is determined by the minimum distance between the ideal solution and other possible solutions of the problem.  The associated weights will be the most appropriate weights in a given priority structure.  The effectiveness and applicability of the LGP model is demonstrated via a case example from broad categories of mutual funds

Pairing symmetry signatures of T1 in superconducting ferromagnets

We study the nuclear relaxation rate 1/T1 as a function of temperature for a superconducting-ferromagnetic coexistent system using a p-wave triplet model for the superconducting pairing symmetry. This calculation is contrasted with a singlet s-wave one done previously, and we see for the s-wave case that there is a Hebel-Slichter peak, albeit reduced due to the magnetization, and no peak for the p-wave case. We then compare these results to a nuclear relaxation rate experiment on UGe2 to determine the possible pairing symmetry signatures in that material. It is seen that the experimental data is inconclusive to rule out the possibility of s-wave pairing in $UGe_{2}$.Comment: 4 pages, 4 figure

Electrical and Magnetic behaviour of PrFeAsO0.8F0.2 superconductor

The superconducting and ground state samples of PrFeAsO0.8F0.2 and PrFeAsO have been synthesised via easy and versatile single step solid state reaction route. X-ray & Reitveld refine parameters of the synthesised samples are in good agreement to the earlier reported value of the structure. The ground state of the pristine compound (PrFeAsO) exhibited a metallic like step in resistivity below 150K followed by another step at 12K. The former is associated with the spin density wave (SDW) like ordering of Fe spins and later to the anomalous magnetic ordering for Pr moments. Both the resistivity anomalies are absent in case of superconducting PrFeAsO0.8F0.2 sample. Detailed high field (up to 12Tesla) electrical and magnetization measurements are carried out for superconducting PrFeAsO0.8F0.2 sample. The PrFeAsO0.8F0.2 exhibited superconducting onset (Tconset) at around 47K with Tc({\rho} =0) at 38K. Though the Tconset remains nearly invariant, the Tc({\rho} =0) is decreased with applied field, and the same is around 23K under applied field of 12Tesla. The upper critical field (Hc2) is estimated from the Ginzburg Landau equation (GL) fitting, which is found to be ~ 182Tesla. Critical current density (Jc) being calculated from high field isothermal magnetization (MH) loops with the help of Beans critical state model, is found to be of the order of 103 A/cm2. Summarily, the superconductivity characterization of single step synthesised PrFeAsO0.8F0.2 superconductor is presented.Comment: 15 Pages Text + Fig

Numerical Diagonalisation Study of the Trimer Deposition-Evaporation Model in One Dimension

We study the model of deposition-evaporation of trimers on a line recently introduced by Barma, Grynberg and Stinchcombe. The stochastic matrix of the model can be written in the form of the Hamiltonian of a quantum spin-1/2 chain with three-spin couplings given by H= \sum\displaylimits_i [(1 - \sigma_i^-\sigma_{i+1}^-\sigma_{i+2}^-) \sigma_i^+\sigma_{i+1}^+\sigma_{i+2}^+ + h.c]. We study by exact numerical diagonalization of $H$ the variation of the gap in the eigenvalue spectrum with the system size for rings of size up to 30. For the sector corresponding to the initial condition in which all sites are empty, we find that the gap vanishes as $L^{-z}$ where the gap exponent $z$ is approximately $2.55\pm 0.15$. This model is equivalent to an interfacial roughening model where the dynamical variables at each site are matrices. From our estimate for the gap exponent we conclude that the model belongs to a new universality class, distinct from that studied by Kardar, Parisi and Zhang.Comment: 11 pages, 2 figures (included