12 research outputs found
Character of superposed states under deterministic LOCC
In this paper we investigate the effect of superposition of states on local
conversion of pure bipartite states under deterministic LOCC. We are able to
form a bridge between comparable and incomparable classes of states through the
linear superposition of states. For example, if we consider two pairs of
incomparable states, then their superposition may result into a comparable pair
of states. We investigate many such cases and provide some of the results in
tabular form. We also investigate the entanglement behavior of such classes of
states, specifically their monotone nature. Finally we provide some bounds of
different measures of entanglement based on the idea of comparability and
incomparability under deterministic LOCC.Comment: 9 pages, pdflatex, no figure, to appear in the journal Quantum
Information Processin
Peculiarities of Bounds on States through the Concept of Linear Superposition
We investigate the effect of superposition of states on local conversion of pure bipartite
states under deterministic LOCC. We also investigate the entanglement behaviour of such classes
of states, specifically their monotone nature. Finally we are able to construct some counterintuitive situations, on the bounds of different measures of entanglement, emphasis on the idea of comparability
and incomparability under deterministic LOCC
From Classical to Quantum Shannon Theory
The aim of this book is to develop "from the ground up" many of the major,
exciting, pre- and post-millenium developments in the general area of study
known as quantum Shannon theory. As such, we spend a significant amount of time
on quantum mechanics for quantum information theory (Part II), we give a
careful study of the important unit protocols of teleportation, super-dense
coding, and entanglement distribution (Part III), and we develop many of the
tools necessary for understanding information transmission or compression (Part
IV). Parts V and VI are the culmination of this book, where all of the tools
developed come into play for understanding many of the important results in
quantum Shannon theory.Comment: v8: 774 pages, 301 exercises, 81 figures, several corrections; this
draft, pre-publication copy is available under a Creative Commons
Attribution-NonCommercial-ShareAlike license (see
http://creativecommons.org/licenses/by-nc-sa/3.0/), "Quantum Information
Theory, Second Edition" is available for purchase from Cambridge University
Pres
Quantum information theory
Finally, here is a modern, self-contained text on quantum information theory suitable for graduate-level courses. Developing the subject \u27from the ground up\u27 it covers classical results as well as major advances of the past decade. Beginning with an extensive overview of classical information theory suitable for the non-expert, the author then turns his attention to quantum mechanics for quantum information theory, and the important protocols of teleportation, super-dense coding and entanglement distribution. He develops all of the tools necessary for understanding important results in quantum information theory, including capacity theorems for classical, entanglement-assisted, private and quantum communication. The book also covers important recent developments such as superadditivity of private, coherent and Holevo information, and the superactivation of quantum capacity. This book will be warmly welcomed by the upcoming generation of quantum information theorists and the already established community of classical information theorists