Academic literature on the topic 'Entanglement Measures'

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Journal articles on the topic "Entanglement Measures"

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Horodecki, Michal. "Entanglement measures." Quantum Information and Computation 1, no. 1 (2001): 3–26. http://dx.doi.org/10.26421/qic1.1-2.

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Gudder, Stan. "Two entanglement measures." Journal of Physics: Conference Series 1638 (October 2020): 012012. http://dx.doi.org/10.1088/1742-6596/1638/1/012012.

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Plenio, M. B., and S. Virmani. "An introduction to entanglement measures." Quantum Information and Computation 7, no. 1&2 (2007): 1–51. http://dx.doi.org/10.26421/qic7.1-2-1.

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We review the theory of entanglement measures, concentrating mostly on the finite dimensional two-party case. Topics covered include: single-copy and asymptotic entanglement manipulation; the entanglement of formation; the entanglement cost; the distillable entanglement; the relative entropic measures; the squashed entanglement; log-negativity; the robustness monotones; the greatest cross-norm; uniqueness and extremality theorems. Infinite dimensional systems and multi-party settings will be discussed briefly.
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Paz-Silva, Gerardo A., and John H. Reina. "Geometric multipartite entanglement measures." Physics Letters A 365, no. 1-2 (2007): 64–69. http://dx.doi.org/10.1016/j.physleta.2006.12.065.

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Horodecki, Michał, Paweł Horodecki, and Ryszard Horodecki. "Limits for Entanglement Measures." Physical Review Letters 84, no. 9 (2000): 2014–17. http://dx.doi.org/10.1103/physrevlett.84.2014.

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Mora, Caterina-E., Marco Piani, and Hans-J. Briegel. "Epsilon-measures of entanglement." New Journal of Physics 10, no. 8 (2008): 083027. http://dx.doi.org/10.1088/1367-2630/10/8/083027.

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Hedemann, Samuel R. "Candidates for universal measures of multipartite entanglement." Quantum Information and Computation 18, no. 5&6 (2018): 443–71. http://dx.doi.org/10.26421/qic18.5-6-3.

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We propose and examine several candidates for universal multipartite entanglement measures. The most promising candidate for applications needing entanglement in the full Hilbert space is the ent-concurrence, which detects all entanglement correlations while distinguishing between different types of distinctly multipartite entanglement, and simplifies to the concurrence for two-qubit mixed states. For applications where subsystems need internal entanglement, we develop the absolute ent-concurrence which detects the entanglement in the reduced states as well as the full state.
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Schwaiger, Katharina, and Barbara Kraus. "Relations between bipartite entanglement measures." Quantum Information and Computation 18, no. 1&2 (2018): 85–113. http://dx.doi.org/10.26421/qic18.1-2-5.

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We investigate the entanglement of bipartite systems from an operational point of view. Main emphasis is put on bipartite pure states in the single copy regime. First, we present an operational characterization of bipartite pure state entanglement, viewing the state as a multipartite state. Then, we investigate the properties and relations of two classes of operational bipartite and multipartite entanglement measures, the so-called source and the accessible entanglement. The former measures how easy it is to generate a given state via local operations and classical communication (LOCC) from so
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Deng, Wei, and Yong Deng. "Entropic methodology for entanglement measures." Physica A: Statistical Mechanics and its Applications 512 (December 2018): 693–97. http://dx.doi.org/10.1016/j.physa.2018.07.044.

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Virmani, S., and M. B. Plenio. "Ordering states with entanglement measures." Physics Letters A 268, no. 1-2 (2000): 31–34. http://dx.doi.org/10.1016/s0375-9601(00)00157-2.

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Dissertations / Theses on the topic "Entanglement Measures"

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Uyanik, Kivanc. "Entanglement Measures." Master's thesis, METU, 2008. http://etd.lib.metu.edu.tr/upload/12609292/index.pdf.

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Being a puzzling feature of quantum mechanics, entanglement caused many debates since the infancy days of quantum theory. But it is the last two decades that it has started to be seen as a resource for physical tasks which are not possible or extremely infeasible to be done classically. Popular examples are quantum cryptography - secure communication based on laws of physics - and quantum computation - an exponential speedup for factoring large integers. On the other hand, with current technological restrictions it seems to be difficult to preserve specific entangled states and to distribute t
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Zander, Claudia. "Information measures, entanglement and quantum evolution." Diss., University of Pretoria, 2007. http://upetd.up.ac.za/thesis/available/etd-04212008-090506.

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Sköld, Jennie. "Ordering of Entangled States for Different Entanglement Measures." Thesis, Karlstads universitet, Institutionen för ingenjörsvetenskap och fysik, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-32078.

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Quantum entanglement is a phenomenon which has shown great potential use in modern technical implementations, but there is still much development needed in the field. One major problem is how to measure the amount of entanglement present in a given entangled state. There are numerous different entanglement measures suggested, all satisfying some conditions being of either operational, or more abstract, mathematical nature. However, in contradiction to what one might expect, the measures show discrepancies in the ordering of entangled states. Concretely this means that with respect to one measu
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Oerder, Kyle. "Operator algebras and quantum information." Diss., University of Pretoria, 2020. http://hdl.handle.net/2263/75515.

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The C*-algebra representation of a physical system provides an ideal backdrop for the study of bipartite entanglement, as a natural definition of separability emerges as a direct consequence of the non-abelian nature of quantum systems under this formulation. The focus of this dissertation is the quantification of entanglement for infinite dimensional systems. The use of Choquet’s theory of boundary integrals allows for an integral representation of the states on a C*-algebra and subsequent adaptation of the Convex Roof Measures to infinite dimensional systems. Another measure of entanglement,
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Woldekristos, Habtom G. "Tripartite Entanglement in Quantum Open Systems." Miami University / OhioLINK, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=miami1250185666.

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Vodola, Davide. "Correlations and quantum dynamics of 1D fermionic models : new results for the Kitaev chain with long-range pairing." Thesis, Strasbourg, 2015. http://www.theses.fr/2015STRAF007/document.

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La première partie de la thèse étudie le diagramme de phase d’une généralisation de la chaîne de Kitaev qui décrit un système fermionique avec un pairing p-wave à long rayon qui tombe avec la distance ℓ comme 1/ℓα. On a analysé les lignes critiques, les corrélations et le comportement de l’entropie d’entanglement avec la taille du système. Nous avons démontré l’existence de deux régimes massifs, (i) où les fonctions de corrélation tombent exponentiellement à de courtes distances et comme puissance à de longues distances (α > 1), (ii) où elles tombent à puissance seuleme
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Teng, Peiyuan. "Tensor network and neural network methods in physical systems." The Ohio State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=osu1524836522115804.

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Albouy, Olivier. "Discrete algebra and geometry applied to the Pauli group and mutually unbiased bases in quantum information theory." Phd thesis, Université Claude Bernard - Lyon I, 2009. http://tel.archives-ouvertes.fr/tel-00612229.

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Pour d non puissance d'un nombre premier, le nombre maximal de bases deux à deux décorrélées d'un espace de Hilbert de dimension d n'est pas encore connu. Dans ce mémoire, nous commençons par donner une construction de bases décorrélées en lien avec une famille de représentations irréductibles de l'algèbre de Lie su(2) et faisant appel aux sommes de Gauss.Puis nous étudions de façon systématique la possibilité de construire de telle bases au moyen des opérateurs de Pauli. 1) L'étude de la droite projective sur Zdm montre que, pour obtenir des ensembles maximaux de bases décorrélées à l'aide d'
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Yi-HsiangChen and 陳奕翔. "A study of entanglement measures in bipartite systems." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/38930277589233989160.

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碩士<br>國立成功大學<br>物理學系碩博士班<br>101<br>Finer characterizations of entanglement have been shown to exist in higher dimensional pure bipartite systems. Beyond qubit-qubit systems, more than one parameter is necessary to capture the entanglement. The necessary and suffi cient condition for separability is equivalent to the vanishing of a set of entanglement parameters, each of which can be associated with a qubit-qubit entanglement. Properties of these entanglement parameters are investigated, and attention is focussed on the qubit-qutrit system-the simplest system which requires more than one parame
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Burchardt, Adam. "Symmetry and classification of multipartite entangled states." Praca doktorska, 2022. https://ruj.uj.edu.pl/xmlui/handle/item/285756.

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Books on the topic "Entanglement Measures"

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Hollands, Stefan, and Ko Sanders. Entanglement Measures and Their Properties in Quantum Field Theory. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-94902-4.

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Hollands, Stefan, and Ko Sanders. Entanglement Measures and Their Properties in Quantum Field Theory. Springer, 2018.

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Beenakker, Carlo W. J. Extreme eigenvalues of Wishart matrices: application to entangled bipartite system. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.37.

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This article describes the application of random matrix theory (RMT) to the estimation of the bipartite entanglement of a quantum system, with particular emphasis on the extreme eigenvalues of Wishart matrices. It first provides an overview of some spectral properties of unconstrained Wishart matrices before introducing the problem of the random pure state of an entangled quantum bipartite system consisting of two subsystems whose Hilbert spaces have dimensions M and N respectively with N ≤ M. The focus is on the smallest eigenvalue which serves as an important measure of entanglement between
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Kenyon, Ian R. Quantum 20/20. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198808350.001.0001.

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This text reviews fundametals and incorporates key themes of quantum physics. One theme contrasts boson condensation and fermion exclusivity. Bose–Einstein condensation is basic to superconductivity, superfluidity and gaseous BEC. Fermion exclusivity leads to compact stars and to atomic structure, and thence to the band structure of metals and semiconductors with applications in material science, modern optics and electronics. A second theme is that a wavefunction at a point, and in particular its phase is unique (ignoring a global phase change). If there are symmetries, conservation laws foll
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Book chapters on the topic "Entanglement Measures"

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Hollands, Stefan, and Ko Sanders. "Entanglement Measures in QFT." In SpringerBriefs in Mathematical Physics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-94902-4_3.

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Aravind, P. K. "Measures of Quantum Entanglement." In Coherence and Quantum Optics VII. Springer US, 1996. http://dx.doi.org/10.1007/978-1-4757-9742-8_75.

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D'Alessandro, Domenico. "Analysis of Quantum Evolutions; Entanglement, Entanglement Measures and Dynamics." In Introduction to Quantum Control and Dynamics, 2nd ed. Chapman and Hall/CRC, 2021. http://dx.doi.org/10.1201/9781003051268-9.

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Yamakami, Tomoyuki. "Computational Complexity Measures of Multipartite Quantum Entanglement." In Algorithms and Computation. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-24587-2_14.

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Tonni, Erik. "An Introduction to Entanglement Measures in Conformal Field Theories and AdS/CFT." In Springer Proceedings in Physics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-35473-2_2.

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Gabriel, John. "“What Exactly Is China” in Bertolt Brecht and Hanns Eisler’s Die Maßnahme (The Measures Taken)." In Sino-German Encounters and Entanglements. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-73391-9_9.

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J�hannesson, G. T., and K. A. Lund. "Beyond overtourism: studying the entanglements of society and tourism in Iceland." In Overtourism: excesses, discontents and measures in travel and tourism. CABI, 2019. http://dx.doi.org/10.1079/9781786399823.0091.

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Nowostawski, Mariusz, and Andrzej Gecow. "Identity Criterion for Living Objects Based on the Entanglement Measure." In Semantic Methods for Knowledge Management and Communication. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-23418-7_15.

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Berwanger, Dietmar, and Erich Grädel. "Entanglement – A Measure for the Complexity of Directed Graphs with Applications to Logic and Games." In Logic for Programming, Artificial Intelligence, and Reasoning. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/978-3-540-32275-7_15.

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Werner, R. F. "Entanglement Measures." In Encyclopedia of Mathematical Physics. Elsevier, 2006. http://dx.doi.org/10.1016/b0-12-512666-2/00511-3.

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Conference papers on the topic "Entanglement Measures"

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Paz-Silva, Gerardo A., and John H. Reina. "Additive multipartite entanglement measures." In International Conference on Quantum Information. OSA, 2007. http://dx.doi.org/10.1364/icqi.2007.jwc40.

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Westmoreland, Michael, and Benjamin Schumacher. "Entanglement measures and quantum channels." In International Conference on Quantum Information. OSA, 2001. http://dx.doi.org/10.1364/icqi.2001.pa24.

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SASAKI, TOSHIHIKO, TSUBASA ICHIKAWA, and IZUMI TSUTSUI. "ENTANGLEMENT MEASURES FOR INTERMEDIATE SEPARABILITY." In Proceedings of the Summer School on Decoherence, Entanglement & Entropy and Proceedings of the Workshop on MPS & DMRG. WORLD SCIENTIFIC, 2012. http://dx.doi.org/10.1142/9789814407199_0005.

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Plenio, Martin, K. Audenaert, J. Eisert, E. Jane, and S. Virmani. "Entanglement measures in the asymptotic limit." In International Conference on Quantum Information. OSA, 2001. http://dx.doi.org/10.1364/icqi.2001.qecca3.

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Majewski, Władysław A. "PPT states and measures of entanglement." In Proceedings of the 46th Karpacz Winter School of Theoretical Physics. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814317443_0008.

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Killoran, Nathan, and Norbert Lütkenhaus. "Extending Quantum Optical Benchmarks with Entanglement Measures." In Quantum Electronics and Laser Science Conference. OSA, 2011. http://dx.doi.org/10.1364/qels.2011.qthj3.

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MAJEWSKI, WłADYSłAW A. "MEASURES OF ENTANGLEMENT - A HILBERT SPACE APPROACH." In Quantum Bio-Informatics II - From Quantum Information to Bio-Informatics. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789814273756_0012.

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Herreño F., César. "Measures of Quantum Entanglement for Three-Level Bipartite Systems." In QUANTUM COMMUNICATION, MEASUREMENT AND COMPUTING. AIP, 2004. http://dx.doi.org/10.1063/1.1834426.

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Killoran, Nathan, and Norbert Lütkenhaus. "Quantifying the strength of optical communication devices using entanglement measures." In International Conference on Quantum Information. OSA, 2011. http://dx.doi.org/10.1364/icqi.2011.qtug6.

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Modi, Kavan, Vlatko Vedral, Dipankar Home, Guruprasad Kar, and Archan S. Majumda. "Unification of quantum and classical correlations and quantumness measures." In 75 YEARS OF QUANTUM ENTANGLEMENT: FOUNDATIONS AND INFORMATION THEORETIC APPLICATIONS: S. N. Bose National Centre for Basic Sciences Silver Jubilee Symposium. AIP, 2011. http://dx.doi.org/10.1063/1.3635845.

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Reports on the topic "Entanglement Measures"

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Udupa, Sahana. Small Platforms and the Gray Zones of Deep Extreme Speech. MediaWell, Social Science Research Council, 2021. http://dx.doi.org/10.35650/md.2093.d.2021.

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Recent trends of migration to smaller social media platforms among right wing actors have raised a caution that an excessive focus on large, transnational social media companies might lose sight of the volatile spaces of homegrown and niche platforms, which have begun to offer diverse “alternative” avenues to extreme speech. Such trends, which drew global media attention during Trump supporters’ attempted exodus to Parler, are also gaining salience in Europe and the global South. Turning the focus to these developments, this article pries open three pertinent features of extreme speech on smal
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