Priyanka Mukhopadhyay

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In 1962 Hough earned the patent for a method [1], popularly called Hough Transform (HT) that efficiently identifies lines in images. It is an important tool even after the golden jubilee year of existence, as evidenced by more than 2500 research papers dealing with its variants, generalizations, properties and applications in diverse fields. The current(More)
In this paper we present a new operational interpretation of relative-entropy between quantum states in the form of the following protocol. P: Alice gets to know the eigen-decomposition of a quantum state ρ. Bob gets to know the eigen-decomposition of a quantum state σ. Both Alice and Bob know S (ρσ) def = Trρ log ρ − ρ log σ, the relative entropy between ρ(More)
In this paper, we present the following quantum compression protocol `P': Let &#x03C1;,&#x03C3; be quantum states, such that S (&#x03C1;&#x2225;&#x03C3;) <sup>def</sup>= Tr(&#x03C1; log &#x03C1; - &#x03C1; log &#x03C3;), the relative entropy between &#x03C1; and &#x03C3;, is finite. Alice gets to know the eigendecomposition of &#x03C1;. Bob gets to know the(More)
18S ribosomal RNA gene sequences of different species of Plasmodium were aligned and analyzed to determine the molecular diversity among different species of Plasmodium. AT content of P. cynomolgi, P. ovale, P. falciparum, P. vivax and P. malariae ranged from 62.30 to 63.15, 63.90 to 65.29, 66.67 to 68.40, 61.66 to 63.25 and 64.09 to 76.36 in case(More)
Schubert polynomials were discovered by A. Lascoux and M. Schützenberger in the study of cohomology rings of flag manifolds in 1980s. These polynomials generalize Schur polynomials and form a linear basis of multivariate polynomials. In 2003, Lenart and Sottile introduced skew Schubert polynomials, which generalize skew Schur polynomials and expand in the(More)
Anopheles, Culex and Aedes mosquitoes are serious disease vectors in India including the malaria endemic saline mangrove delta of the Sundarbans, West Bengal. Their impact on the health and well being of the local population warrants more effective control measures. In the present study, spore forming soil bacteria were isolated from different areas of the(More)
Let the randomized query complexity of a relation for error probability ǫ be denoted by Rǫ(·). We prove that for any relation f ⊆ {0, 1} × R and Boolean function g : {0, 1} → {0, 1}, R1/3(f ◦g ) = Ω(R4/9(f) ·R1/2−1/n4(g)), where f ◦g n is the relation obtained by composing f and g. We also show that R1/3 (
We show that for any (partial) query function f : {0, 1} n → {0, 1}, the randomized communication complexity of f composed with Index n m (with m = poly(n)) is at least the random-ized query complexity of f times log n. Here Index m : [m] × {0, 1} m → {0, 1} is defined as Index m (x, y) = y x (the xth bit of y). Our proof follows on the lines of Raz and(More)
An investigation was done to find out the role of gut bacterium on the larval development and survival of Anopheles subpictus, the vector responsible for the transmission of malaria. An. subpictus mosquitoes breed exclusively in stagnant water, including shrimp/fish ponds with high nutrient level. One bacterial strain (CX2) was isolated from the midgut of(More)
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