Structured Negativity: A physically realizable measure of entanglement based on structural physical approximation

Quantification of entanglement is one of the most important problem in quantum information theory. In this work, we will study this problem by defining a physically realizable measure of entanglement for any arbitrary dimensional bipartite system $\rho$, which we named as structured negativity $(N_S(\rho))$. We have shown that the introduced measure satisfies the properties of a valid entanglement monotone. We also have established an inequality that relate negativity and the structured negativity. For $d\otimes d$ dimensional state, we conjecture from the result obtained in this work that negativity coincide with the structured negativity when the number of negative eigenvalues of the partially transposed matrix is equal to $\frac{d(d-1)}{2}$. Moreover, we proved that the structured negativity not only implementable in the laboratory but also a better measure of entanglement in comparison to negativity. In few cases, we obtain that structure negativity gives better result than the lower bound of the concurrence obtained by Albeverio [Phys. Rev. Lett. \textbf{95}, 040504 (2005)].Comment: 8 pages, 5 figures, Accepted in Annals of Physic

Detection and Classification of Three-qubit States Using l1l_{1} Norm of Coherence

Entanglement is a purely quantum mechanical phenomenon and thus it has no classical analogue. On the other hand, coherence is a well known phenomenon in classical optics and in quantum mechanics. Recent research shows that quantum coherence may act as an useful resource in quantum information theory. We will employ here quantum coherence to detect and classify the entanglement property of three-qubit states. We have formulated few equality type necessary conditions based on $l_{1}$ norm of coherence for both three-qubit pure biseparable and separable states. We have shown that if the pure three-qubit state under investigation does not satisfy the corresponding equality conditions then the state does not belong to either the set of biseparable state or the set of separable states or both the sets. Moreover, we provide another set of necessary conditions, which is based on coherence based inequalities for the detection of pure and mixed three-qubit biseparable states. We have shown that if any three-qubit state (pure or mixed) violate the derived coherence based inequality then the given three-qubit state cannot be a biseparable state. Since there are only three categories of states for three-qubit system so if we detect that the state under probe is neither a separable nor a biseparable state then we can definitely conclude that the given three-qubit state is a genuine entangled state. We have illustrated our result with few examples.Comment: 7 page

Lame dan lame? La main dans la main? Hand in Hand? Introduction

Anu Bissonauth-Bedford and Kumari Issur, Introduction, Lame dan lame? La main dans la main? Hand in Hand? Conference, University of Mauritius and University of Wollongong, 2019. The articles in this special issue of Research Online publication titled ‘Lame dan lame? La main dans la main? Hand in Hand?’ are drawn from presentations at the colloquium held at the University of Mauritius (UoM) on 13 September 2018. The colloquium itself was organised following discussions about the need to focus on the theme of lame dan lame adopted by the Mauritian government to mark its fifty years of independence from British rule and the spirit of a united Mauritian nation built made by walking hand in hand since 1968. This issue brings together articles by researchers from Australia,France and Mauritius who analyze the concept of lame dan lame, its challenges and opportunities across disciplinary fields of Linguistics, Education, Identity, Politics and History. The publication of this special issue expands on collaborative links built between academics at the Universities of Mauritius (UoM) and Wollongong (UOW) at the International Conference of the Mauritian Academic Diaspora (ICMAD) organized by UoMin February 2018to celebrate the fiftieth anniversary of Mauritian independence. Guest Editors Dr Anu Bissoonauth is Senior Lecturer in French in the Faculty of Law, Humanities and the Arts at the University of Wollongong. Her research interests include social, cultural and political challenges in multilingual and multicultural creolophone societies, where French comes in contact with local Creoles and/or migrant heritage languages as well as global English. Associate Professor Kumari R. Issur from the French department at the University of Mauritius, specialises in French literatures of the Indian Ocean and the Caribbean, Ecocriticism and Oceanic studies. She has published numerous articles and co-authored several books such as Revue Nouvelles Etudes Francophones, Revue Mosaïques , New forms of otherness in the Indian Ocean (2013), Spaces, memories and knowledge in the fiction of Ananda Devi (2017)

SUMO Sites Prediction in Human Transcription Factors Involved in Hypoxia induced Cardiac Illnesses

Protein SUMOylation is a reversible and well knownpost-translational modificationprocess of the cells. It may change a protein's cellular location, interactions, and possible structural shape before it develops to carry out its basic functions.Also, it decides the binding of transcription factors and DNA binding proteins tochromatin in addition to various cis and trans regulatory factors. Alterations in protein SUMOylation have been linked with a variety of disorders and developmental anomalies.Tentative approaches to identify SUMO binding sites are challenging due todynamic nature of the SUMOylation processand various critical lab experimentswhich are involved very high cost.Therefore, the computational methodologies may guide the experimental identification of SUMOylation sites and provide insights for improving comprehensionofSUMOylation mechanism in the cells.In this study, we identify the SUMO binding sites in transcription factors that are actively involved and have crucial roles in cardiac development andpathophysiology of the heart.A list of important transcription factors was preparedfrom thehuman transcription factor database.The GPS-SUMO, SUMO plot, and JASSA web serverswere used for the prediction of SUMO binding sites in cardiac transcription factors.We identified the SUMOylation of several novel, previously uncharacterized SUMO targetsthat are actively involved in thecardiovascular system.Thus, the present study may help to uncoverthe significance ofSUMO modificationin cardiac development and illnesses which creates a fresh avenue for future studies ontarget-specific SUMOylation for identification of novel therapeutic targets andmanagement strategies forhypoxia-induced cardiovascular disorders

Physical realization of realignment criteria using structural physical approximation

Entanglement detection is an important problem in quantum information theory because quantum entanglement is a key resource in quantum information processing. Realignment criteria is a powerful tool for detection of entangled states in bipartite and multipartite quantum system. It is an important criteria for entanglement detection because it works well; not only for negative partial transpose entangled states (NPTES) but also for positive partial transpose entangled states (PPTES). Since the matrix corresponding to realignment map is indefinite so the experimental implementation of the map is an obscure task. In this work, firstly, we have approximated the realignment map to a positive map using the method of structural physical approximation (SPA) and then we have shown that the structural physical approximation of realignment map (SPA-R) is completely positive. Positivity of the constructed map is characterized using moments which can be physically measured. Next, we develop a separability criterion based on our SPA-R map in the form of an inequality and have shown that the developed criterion not only detect NPTES but also PPTES. We have provided some examples to support the results obtained. Moreover, we have analysed the error that may occur because of approximating the realignment map.Comment: 13 pages, 7 figures, 1 table, Appendix, Accepted in Physical Review

MHC-DRB1 exon 2 polymorphism and its association with faecal egg count of Haemonchus contortus in Munjal sheep

365-369Haemonchosis is an important disease of small ruminants. Anthelmenthic resistance has instigated the demand of other viable method for control of gastrointestinal parasite. Here, we investigated ovine major histocompatibility complex class II (Ovar MHC II) DRB1 exon 2 polymorphism and its association with faecal egg count (FEC) of Haemonchus contortus in Munjal population of sheep. Genomic DNA was isolated from blood samples of 46 lambs between 6-7 months of age. The polymorphism in DRB1 gene was analyzed using polymerase chain reaction-restriction fragment length polymorphism (PCR-RFLP) technique. PCR products of exon 2 of DRB1 gene were digested with HaeII, BsaHI and NciI restriction enzymes. Fragment of the DRB1 gene comprising 9 bp of the 5' intron and 270 bp of entire exon 2 was successfully amplified. On digestion of 279 bp PCR product with NciI, three genotypes viz. A1A1, A2A2 and A1A2 were found with allele frequencies 0.65 and 0.35. HaeII enzyme revealed three genotypes A1A1, A1A2 and A2A2 with allele frequencies of A1 and A2 were 0.42 and 0.58. BsaHI enzyme also generated three genotypes A1A1, A1A2 and A2A2 with allele frequencies of A1 and A2 was 0.42 and 0.58. We were able to found polymorphism in DRB1 gene but no association could be established between genotypes generated by different restriction enzymes and FEC of H. contortus in Munjal sheep

Constructing Z-scheme LaTiO\u3csub\u3e2\u3c/sub\u3eN/g-C\u3csub\u3e3\u3c/sub\u3eN\u3csub\u3e4\u3c/sub\u3e@Fe\u3csub\u3e3\u3c/sub\u3eO\u3csub\u3e4\u3c/sub\u3e magnetic nano heterojunctions with promoted charge separation for visible and solar removal of indomethacin

© 2020 Elsevier Ltd Pharmaceutical effluents in water bodies pose hazards to the ecosystem because of their potent biological toxicity. Focusing on the removal of such toxic complicated pharmaceutical residues, an innovative LaTiO2N/g-C3N4@Fe3O4 heterojunction photocatalyst was assembled by a simplistic route for visible and solar light degradation of anti-inflammatory drug indomethacin (IDM). The LCF-20 catalyst (with LaTiO2N:g-C3N4 -0.2:1) shows excellent performance for visible light photodegradation of IDM, as evidenced by 97.3 % removal in just 45 min exposure which is about 13 times faster than bare g-C3N4. 83.4 % of total organic carbon removal was achieved by LVF-20 under visible light. Also, with natural sunlight, nearly 80 % of IDM was removed in 90 min irradiation. The heterojunction\u27s extensive intimate interfacial interactions amid LaTiO2N and g-C3N4 reduce the shortcomings of the two for a better photo-activity. The high visible activity, diminished recombination, high charge transfer is attributed to effective Z-scheme transfer facilitated by Fe3O4 nanoparticles. Scavenging experiments prove the importance of superoxide radicals as the dominant species responsible for photodegradation reaction. By mass spectrometry and total organic carbon analysis, a reaction mechanism was also reasonably proposed. The photocatalytic mechanism was discussed in light of conventional and Z-scheme transfer for better insight. The catalyst is stable, recyclable and magnetically separable. This investigation offers a new perspective in the rational design and manufacture of organic-inorganic nitrides based magnetically recoverable heterojunctions as LaTiO2N/g-C3N4@Fe3O4. Such heterojunctions present a new class of robust hierarchical photocatalytic materials which are capable of remediation of pharmaceutical residues under practical conditions

Film-centric promotion of scientific temper: A study of screening grassroots technological innovation short science films at schools across India

8-20Film-centric promotion of scientific temper has been attempted the world over to influence audience perception of themes allied to science and technology which often reflect shades of social as well a cultural concern. This paper attempts to see how students in 77 under-resourced schools in 15 states of India have comprehended the science content through screenings of short science films themed on grassroots technological innovators who have had no formal technical education and yet have been able to innovate products that answered a sorely and regularly felt local need. All the short science films screened offered an amazingly simple technical solution to a real-life challenge. In a large number of instances, the challenges faced by the grassroots innovators in their daily lives were also the problems encountered by the school children who formed the audience of these films. The fact of audience identification with the films emanating from a striking similarity with the socio-economic background of the grassroots technological innovators drove a large part of this study. The analysis establishes how gender distribution of audience among nine to eighteen years of age have received the short science films and what competing ratios did the responses indicate about the degree of engagement during post-screening interactions in both rural as well as urban locations

Electrochemical Enzyme Immunoassay Using Sequential Saturation Technique in A 20-μl Capillary: Digoxin as A Model Analyte

Capillary enzyme immunoassay with flow-injection analysis for digoxin using the sequential saturation technique has been developed. Glass capillary tubes (10 cm × 0.53 mm i.d.) with immobilized digoxin antibody were used as the immunoassay reactor. The product of enzymatic reaction. 4-aminophenol, was detected amperometrically. The digoxin and the labeled digoxin binding reaction with the immobilized digoxin antibody were completed in 2 and 10 min, respectively. Digoxin was determined in a 20-μl sample with a detection limit of 10 pg ml−1 (200 fg or 260 attomoles) and a 3 orders of magnitude range