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A concise introduction to quantum entanglement in multipartite systems is presented.
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Multiparticle entanglement and its applications to cryptography
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Classical Invariant Theory
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On multi-particle pure states entanglement
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Exact and asymptotic measures of multipartite pure-state entanglement
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Matrix product state representations
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Computational complexity of projected entangled pair states
N. Schuch, M. M. Wolf, F. Verstraete, and J. I. Cirac · 2007
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Entanglement in many-body systems
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Many–body physics with ultracold gases
I. Bloch, J. Dalibard, and W. Zwerger · 2008
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Maximally multipartite entangled states
P. Facchi, G. Florio, G. Parisi, and S. Pascazio · 2008
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An enhanced line search scheme for complex-valued tensor decompositions
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Multipartite generalization of the Schmidt decomposition
H. A. Carteret, A. Higuchi, and A. Sudbery · 2000
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Distributed entanglement
V. Coffman, J. Kundu, and W. K. Wootters · 2000
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Reduced Density Matrices
A. Coleman and V. I. Yukalov · 2000
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A multilinear singular value decomposition
L. De Lathauwer, B. D. Moor, and J. Vandewalle · 2000
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Three qubits can be entangled in two inequivalent ways
W. Dür, G. Vidal, and J. I. Cirac · 2000
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The Hilbert Challenge
J. Gray · 2000
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Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems
F. Verstraete, V. Murg, and J. I. Cirac · 2008
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Operational families of entanglement classes for symmetric n n –qubit states
T. Bastin, S. Krins, P. Mathonet, M. Godefroid, L. Lamata, and E. Solano · 2009
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Entanglement entropy and conformal field theory
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On polynomial invariants of several qubits
D. Z̆. Doković and A. Osterloh · 2009
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The geometric measure of entanglement for symmetric states
R. Hübener, M. Kleinmann, T.-C. Wei, C. González-Guillén, and O. Gühne · 2009
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Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity
J. S. Kim, A. Das, and B. C. Sanders · 2009
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Tensor decompositions and applications
T. G. Kolda and B. W. Bader · 2009
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A short review on entanglement in quantum spin systems
J. I. Latorre and A. Riera · 2009
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An area law for the entropy of low-energy states
L. Masanes · 2009
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The maximally entangled symmetric state in terms of the geometric measure
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Area laws for the entanglement entropy - a review
J. Eisert, M. Cramer, and M. B. Plenio · 2010
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All maximally entangled four-qubit states
G. Gour and N. R. Wallach · 2010
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Local unitary equivalence and entanglement of multipartite pure states
B. Kraus · 2010
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Multiqubit symmetric states with high geometric entanglement
J. Martin, O. Giraud, P. A. Braun, D. Braun, and T. Bastin · 2010
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Entanglement equivalence of n n -qubit symmetric states
P. Mathonet, S. Krins, M. Godefroid, L. Lamata, E. Solano, and T. Bastin · 2010
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Classification of qubit entanglement: SL(2,C) versus SU(2) invariance
A. Osterloh · 2010
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Entanglement and symmetry in permutation symmetric states
D. J. H. Markham · 2011
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Entanglement in the symmetric sector of n n qubits
P. Ribeiro and R. Mosseri · 2011
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The density-matrix renormalization group in the age of matrix product states
U. Schollwöck · 2011
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Polynomial invariants for discrimination and classification of four-qubit entanglement
O. Viehmann, C. Eltschka, and J. Siewert · 2011
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Entanglement between two subsystems, the Wigner semicircle and extreme value statistics
T. Bhosale, S. Tomsovic, and A. Lakshminarayan · 2012
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Barycentric measure of quantum entanglement
W. Ganczarek, M. Kuś, and K. Życzkowski · 2012
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Absolute maximal entanglement and quantum secret sharing
W. Helwig, W. Cui, J. I. Latorre, A. Riera, and H.-K. Lo · 2012
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Limitations to sharing entanglement
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Exploring pure quantum states with maximally mixed reductions
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An area law for entanglement from exponential decay of correlations
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Quantum error correction for beginners
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Computations in quantum tensor networks
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Entanglement classes of permutation-symmetric qudit states: symmetric operations suffice
P. Migdał, J. Rodriguez-Laguna, and M. Lewenstein · 2013
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When is a pure state of three qubits determined by its single-particle reduced density matrices?
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Entanglement polytopes: Multiparticle entanglement from single-particle information
M. Walter, B. Doran, D. Gross, and M. Christandl · 2013
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Monogamy of entanglement of formation
T. R. de Oliveira, M. F. Cornelio, and F. F. Fanchini · 2014
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Genuinely multipartite entangled states and orthogonal arrays
D. Goyeneche and K. Życzkowski · 2014
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A practical introduction to tensor networks: Matrix product states and projected entangled pair states
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Convexity of momentum map, Morse index and quantum entanglement
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Anticoherence of spin states with point group symmetries
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Monogamy equalities for qubit entanglement from lorentz invariance
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Absolutely maximally entangled states, combinatorial designs and multi-unitary matrices
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Holographic quantum error-correcting codes: toy models for the bulk/boundary correspondence
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Geometry of Quantum States. An Introduction to Quantum Entanglement
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