Open Systems & Information Dynamics 

About: Open Systems & Information Dynamics is an academic journal published by World Scientific. The journal publishes majorly in the area(s): Quantum entanglement & Quantum. It has an ISSN identifier of 1230-1612. Over the lifetime, 719 publications have been published receiving 9395 citations. The journal is also known as: Open systems and information dynamics.

Continuous variable quantum information: Gaussian states and beyond

Abstract: The study of Gaussian states has arisen to a privileged position in contin- uous variable quantum information in recent years. This is due to vehemently pursued experimental realisations and a magnificently elegant mathematical framework. In this paper, we provide a brief, and hopefully didactic, exposition of Gaussian state quantum information and its contemporary uses, including sometimes omitted crucial details. After introducing the subject material and outlining the essential toolbox of continuous variable systems, we define the basic notions needed to understand Gaussian states and Gaussian operations. In particular, emphasis is placed on the mathematical structure combining notions of algebra and symplectic geometry fundamental to a complete understanding of Gaussian informatics. Furthermore, we discuss the quantification of different forms of cor- relations (including entanglement and quantum discord) for Gaussian states, paying special attention to recently developed measures. The paper is concluded by succinctly expressing the main Gaussian state limitations and outlining a selection of possible future lines for quantum information processing with continuous variable systems.

A Concise Guide to Complex Hadamard Matrices

Abstract: Complex Hadamard matrices, consisting of unimodular entries with arbitrary phases, play an important role in the theory of quantum information. We review basic properties of complex Hadamard matrices and present a catalogue of inequivalent cases known for the dimensions N = 2,..., 16. In particular, we explicitly write down some families of complex Hadamard matrices for N = 12,14 and 16, which we could not find in the existing literature.

An introduction to synergetics

Abstract: We introduce basic concepts and principles of synergetics in an elementary way and work out the interdisciplinary aims of this young scientific discipline. To some detail the laser as a system of physics and an application of synergetics to a problem from economics will be presented. A generalization of the methods to a class of functional differential equations will be outlined.

A Decoupling Approach to the Quantum Capacity

Abstract: We give a short proof that the coherent information is an achievable rate for the transmission of quantum information through a noisy quantum channel. Our method is to produce random codes by performing a unitarily covariant projective measurement on a typical subspace of a tensor power state. We show that, provided the rank of each measurement operator is sufficiently small, the transmitted data will, with high probability, be decoupled from the channel environment. We also show that our construction leads to random codes whose average input is close to a product state and outline a modification yielding unitarily invariant ensembles of maximally entangled codes.

Rényi Extrapolation of Shannon Entropy

Abstract: Relations between Shannon entropy and Renyi entropies of integer order are discussed. For any N-point discrete probability distribution for which the Renyi entropies of order two and three are known, we provide a lower and an upper bound for the Shannon entropy. The average of both bounds provide an explicit extrapolation for this quantity. These results imply relations between the von Neumann entropy of a mixed quantum state, its linear entropy and traces.