TY  - JOUR
A1  - Eisert, Jens
A1  - Briegel, Hans J.
T1  - Schmidt measure as a tool for quantifying multiparicle entanglement
N2  - We present a measure of quantum entanglement which is capable of quantifying the degree of entanglement of a multi-partite quantum system. This measure, which is based on a generalization of the Schmidt rank of a pure state, is defined on the full state space and is shown to be an entanglement monotone, that is, it cannot increase under local quantum operations with classical communication and under mixing. For a large class of mixed states this measure of entanglement can be calculated exactly, and it provides a detailed classification of mixed states.
Y1  - 2001
ER  - 
TY  - JOUR
A1  - Eisert, Jens
A1  - Briegel, Hans J.
T1  - Quantification of Multi-Particle Entanglement
Y1  - 2001
ER  - 
TY  - JOUR
A1  - Hein, M.
A1  - Eisert, Jens
A1  - Briegel, Hans J.
T1  - Multiparty entanglement in graph states
N2  - Graph states are multiparticle entangled states that correspond to mathematical graphs, where the vertices of the graph take the role of quantum spin systems and edges represent Ising interactions. They are many-body spin states of distributed quantum systems that play a significant role in quantum error correction, multiparty quantum communication, and quantum computation within the framework of the one-way quantum computer. We characterize and quantify the genuine multiparticle entanglement of such graph states in terms of the Schmidt measure, to which we provide upper and lower bounds in graph theoretical terms. Several examples and classes of graphs will be discussed, where these bounds coincide. These examples include trees, cluster states of different dimensions, graphs that occur in quantum error correction, such as the concatenated [7,1,3]-CSS code, and a graph associated with the quantum Fourier transform in the one-way computer. We also present general transformation rules for graphs when local Pauli measurements are applied, and give criteria for the equivalence of two graphs up to local unitary transformations, employing the stabilizer formalism. For graphs of up to seven vertices we provide complete characterization modulo local unitary transformations and graph isomorphisms
Y1  - 2004
ER  - 
TY  - JOUR
A1  - Zoller, Peter
A1  - Beth, Thomas
A1  - Binosi, D.
A1  - Blatt, Rainer
A1  - Briegel, Hans J.
A1  - Bruss, D.
A1  - Calarco, Tommaso
A1  - Cirac, Juan Ignacio
A1  - Deutsch, David
A1  - Eisert, Jens
A1  - Ekert, Artur
A1  - Fabre, Claude
A1  - Gisin, Nicolas
A1  - Grangiere, P.
A1  - Grassl, Markus
A1  - Haroche, Serge
A1  - Imamoglu, Atac
A1  - Karlson, A.
A1  - Kempe, Julia
A1  - Kouwenhoven, Leo P.
A1  - Kröll, S.
A1  - Leuchs, Gerd
A1  - Lewenstein, Maciej
A1  - Loss, Daniel
A1  - Lütkenhaus, Norbert
A1  - Massar, Serge
A1  - Mooij, J. E.
A1  - Plenio, Martin Bodo
A1  - Polzik, Eugene
A1  - Popescu, Sandu
A1  - Rempe, Gerhard
A1  - Sergienko, Alexander
A1  - Suter, David
A1  - Twamley, John
A1  - Wendin, Göran
A1  - Werner, Reinhard F.
A1  - Winter, Andreas
A1  - Wrachtrup, Jörg
A1  - Zeilinger, Anton
T1  - Quantum information processing and communication : Strategic report on current status, visions and goals for research in Europe
N2  - We present an excerpt of the document "Quantum Information Processing and Communication: Strategic report on current status, visions and goals for research in Europe", which has been recently published in electronic form at the website of FET (the Future and Emerging Technologies Unit of the Directorate General Information Society of the European Commission, http://www.cordis.lu/ist/fet/qipc-sr.htm). This document has been elaborated, following a former suggestion by FET, by a committee of QIPC scientists to provide input towards the European Commission for the preparation of the Seventh Framework Program. Besides being a document addressed to policy makers and funding agencies (both at the European and national level), the document contains a detailed scientific assessment of the state-of-the-art, main research goals, challenges, strengths, weaknesses, visions and perspectives of all the most relevant QIPC sub-fields, that we report here
Y1  - 2005
SN  - 1434-6060
ER  -