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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 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 the following quantum compression protocol: P: Let ρ, σ be quantum states such that S(ρσ) def = Tr(ρ log ρ − ρ log σ), the relative entropy between ρ and σ, is finite. Alice gets to know the eigen-decomposition of ρ. Bob gets to know the eigen-decomposition of σ. Both Alice and Bob know S(ρσ) and an error parameter ε. Alice and Bob… (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)

- Nicolas Ollinger, Heribert Vollmer, Nicolas Ollinger Heribert, Vollmer Lifo, Susanne Albers, Tu München +436 others
- 2016

In brief, this license authorizes each and everybody to share (to copy, distribute and transmit) the work under the following conditions, without impairing or restricting the authors' moral rights: Attribution: The work must be attributed to its authors. LIPIcs is a series of high-quality conference proceedings across all fields in informatics. LIPIcs… (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)

Schubert polynomials were discovered by A. Lascoux and M. Schützenberger in the study of cohomology rings of flag manifolds in 1980's. These polynomials form a linear basis of multivariate polynomials, and yield a natural generalization of the classical Newton interpolation formula to the multivariate case. In this paper we first show that evaluating… (More)

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