In this paper, we consider the minimal entropy of two-qubit states transmitted through two uses of a noisy quantum channel, which is modeled by the action of a completely positive trace-preserving (or stochastic) map. We provide strong support for the conjecture that this minimal entropy is additive, namely that the minimum entropy can be achieved when product states are transmitted. Explicitly...

‎Bucket recursive trees are an interesting and natural‎ ‎generalization of ordinary recursive trees and have a connection‎ to mathematical chemistry‎. ‎In this paper‎, ‎we give the lower and upper bounds for the moment generating‎ ‎function and moments of the multiplicative Zagreb indices in a‎ ‎randomly chosen bucket recursive tree of size $n$ with maximal bucket size $bgeq1$‎. Also, ‎we consi...

In this paper, we consider the minimal entropy of two-qubit states transmitted through two uses of a noisy quantum channel, which is modeled by the action of a completely positive trace-preserving (or stochastic) map. We provide strong support for the conjecture that this minimal entropy is additive, namely that the minimum entropy can be achieved when product states are transmitted. Explicitly...

We have obtained Hubble Space Telescope (HST) images of Pluto at 410 nm and 278 nm which resolve numerous distinct albedo provinces on this planet. Our images were obtained using the Faint Object Camera (FOC) of the Hubble Space Telescope between 20 June and 01 July 1994. This dataset is the rst longitudinally-complete, rotationallyresolved direct image dataset on Pluto. We have combined the va...

Scholars writing books that are widely used to support teaching in higher education may be undervalued due to a lack of evidence of teaching value. Whilst sales data may give credible evidence for textbooks, it may poorly reflect educational uses of other types of books. As an alternative, this article proposes a method to automatically search for mentions of books in online academic course syl...

Automatic acquisition of inference rules for predicates has been commonly addressed by computing distributional similarity between vectors of argument words, operating at the word space level. A recent line of work, which addresses context sensitivity of rules, represented contexts in a latent topic space and computed similarity over topic vectors. We propose a novel two-level model, which comp...

This paper describes TM/XML, an XML syntax for Topic Maps that is very close to the natural, or colloquial, XML representation of the information in the topic map. It can be used to process Topic Maps data with XML tools, and integrate non-Topic Maps systems with Topic

We study quasilinear degenerate parabolic-hyperbolic stochastic partial differential equations with general multiplicative noise within the framework of kinetic solutions. Our results are twofold: First, we establish new regularity results based on averaging techniques. Second, we prove the existence and uniqueness of solutions in a full L1 setting requiring no growth assumptions on the nonline...

A teacher must consider many details when planning and organizing a course. This paper shows how the new Topic Map computer technology can help in this process. The developed Topic Map for the CS knowledge domain is used for the analysis of introductory CS courses, but it can be also applied to other courses, including in noncomputer disciplines. Well-structured Topic Maps may become a solid ba...