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Quantum states that are symmetric with respect to permutations of their subsystems appear in a wide range of physical settings, and they have a variety of promising applications in quantum information science.
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Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 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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Generalized Schmidt Decomposition and Classification of Three-Quantum-Bit States
A. Acín, A. Andrianov, L. Costa, E. Jané, J. I. Latorre, and R. Tarrach · 2000
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Multipartite generalization of the Schmidt decomposition
H. A. Carteret, A. Higuchi, and A. Sudbery · 2000
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Entanglement monotones
G. Vidal · 2000
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Exact and asymptotic measures of multipartite pure-state entanglement
C. H. Bennett, S. Popescu, D. Rohrlich, J. A. Smolin, and A. V. Thapliyal · 2000
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Distributed entanglement
V. Coffman, J. Kundu, and W. K. Wootters · 2000
Cited alongside, same era.
An introduction to entanglement measures
M. B. Plenio and S. Virmani · 2007
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Detection of multipartite entanglement in the vicinity of symmetric Dicke states
G. Tóth · 2007
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Generation of Symmetric Dicke States of Remote Qubits with Linear Optics
C. Thiel, J. von Zanthier, T. Bastin, E. Solano, and G. S. Agarwal · 2007
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Classifying vortices in S S =3 Bose-Einstein condensates
R. Barnett, A. Turner, and E. Demler · 2007
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Inert States of Spin- S S Systems
H. Mäkelä and K.-A. Suominen · 2007
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On the best rank-1 approximation to higher-order symmetric tensors
G. Ni and Y. Wang · 2007
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Limits for Entanglement Measures
M. Horodecki, P. Horodecki, and R. Horodecki · 2000
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On the Best Rank-1 and Rank-( R 1 , R 2 , … , R N R_{1},R_{2},\ldots,R_{N} ) Approximation of Higher-Order Tensors)
L. De Lathauwer, B. De Moor, and J. Vandewalle · 2000
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Optimal Distillation of a Greenberger-Horne-Zeilinger State
A. Acín, E. Jané, W. Dür, and G. Vidal · 2000
Cited alongside, same era.
Four-party unlockable bound entangled state
J. A. Smolin · 2001
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Geometric quantum mechanics
D. C. Brody and L. P. Hughston · 2001
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Schmidt measure as a tool for quantifying multiparticle entanglement
J. Eisert and H. J. Briegel · 2001
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Entanglement and local information access for graph states
D. Markham, A. Miyake, and S. Virmani · 2007
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A Characterization of Global Entanglement
P. J. Love, A. M. van den Brink, A. Y. Smirnov, M. H. S. Amin, M. Grajcar, E. Il’ichev, A. Izmalkov, and A. M. Zagoskin · 2007
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Thermodynamical Limit of the Lipkin-Meshkov-Glick Model
P. Ribeiro, J. Vidal, and R. Mosseri · 2007
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Exact spectrum of the Lipkin-Meshkov-Glick model in the thermodynamic limit and finite-size corrections
P. Ribeiro, J. Vidal, and R. Mosseri · 2008
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Equivalence of Critical Scaling Laws for Many-Body Entanglement in the Lipkin-Meshkov-Glick Model
R. Orús, S. Dusuel, and J. Vidal · 2008
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Entanglement of multiparty-stabilizer, symmetric, and antisymmetric states
M. Hayashi, D. Markham, M. Murao, M. Owari, and S. Virmani · 2008
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Vortex Lattice Transitions in Cyclic Spinor Condensates
R. Barnett, S. Mukerjee, and J. E. Moore · 2008
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Optimal state for keeping reference frames aligned and the platonic solids
P. Kolenderski and R. Demkowicz-Dobrzanski · 2008
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Tensor Rank and the III-Posedness of the Best Low-Rank Approximation Problem
V. De Silva and L.-H. Lim · 2008
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Universal Geometric Entanglement Close to Quantum Phase Transitions
R. Orús · 2008
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Survival of entanglement in thermal states
D. Markham, J. Anders, V. Vedral, M. Murao, and A. Miyake · 2008
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Reduced state uniquely defines the Groverian measure of the original pure state
E. Jung, M.-R. Hwang, H. Kim, M.-S. Kim, D. Park, J.-W. Son, and S. Tamaryan · 2008
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Analytic expressions for geometric measure of three-qubit states
L. Tamaryan, D. Park, and S. Tamaryan · 2008
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Exchange symmetry and multipartite entanglement
T. Ichikawa, T. Sasaki, I. Tsutsui, and N. Yonezawa · 2008
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Permutation-invariant monotones for multipartite entanglement characterization
X.-J. Ren, W. Jiang, X. Zhou, Z.-W. Zhou, and G.-C. Guo · 2008
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Multipartite entanglement in four-qubit cluster-class states
Y.-K. Bai and Z. D. Wang · 2008
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Quantum Phase Transitions in Collective Spin Models. Applications to Adiabatic Quantum Computation
P. Ribeiro · 2008
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Experimental Realization of Dicke States of up to Six Qubits for Multiparty Quantum Networking
R. Prevedel, G. Cronenberg, M. S. Tame, M. Paternostro, P. Walther, M. S. Kim, and A. Zeilinger · 2009
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Experimental Entanglement of a Six-Photon Symmetric Dicke State
W. Wieczorek, R. Krischek, N. Kiesel, P. Michelberger, G. Tóth, and H. Weinfurter · 2009
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Operational Determination of Multiqubit Entanglement Classes via Tuning of Local Operations
T. Bastin, C. Thiel, J. von Zanthier, L. Lamata, E. Solano, and G. S. Agarwal · 2009
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Quantum entanglement
R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki · 2009
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On polynomial invariants of several qubits
D. Ž. Đoković and A. Osterloh · 2009
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Superadditivity of communication capacity using entangled inputs
M. B. Hastings · 2009
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Multipartite Entanglement Detection via Structure Factors
P. Krammer, H. Kampermann, D. Bruß, R. A. Bertlmann, L. C. Kwek, and C. Macchiavello · 2009
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Preparation of Dicke states in an ion chain
D. B. Hume, C. W. Chou, T. Rosenband, and D. J. Wineland · 2009
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Most Quantum States Are Too Entangled To Be Useful As Computational Resources
D. Gross, S. T. Flammia, and J. Eisert · 2009
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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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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 and Permutational Symmetry
G. Tóth and O. Gühne · 2009
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Thermal robustness of multipartite entanglement of the one-dimensional spin- 1 2 \frac{1}{2} X Y XY model
Y. Nakata, D. Markham, and M. Murao · 2009
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Are Random Pure States Useful for Quantum Computation?
M. J. Bremner, C. Mora, and A. Winter · 2009
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The geometric measure of entanglement for a symmetric pure state with non-negative amplitudes
M. Hayashi, D. Markham, M. Murao, M. Owari, and S. Virmani · 2009
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Maximally entangled three-qubit states via geometric measure of entanglement
S. Tamaryan, T.-C. Wei, and D. Park · 2009
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Quantum entanglement in photosynthetic light-harvesting complexes
M. Sarovar, A. Ishizaki, G. R. Fleming, and K. B. Whaley · 2010
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Scalable quantum search using trapped ions
S. S. Ivanov, P. A. Ivanov, I. E. Linington, and N. V. Vitanov · 2010
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Local Unitary Equivalence of Multipartite Pure States
B. Kraus · 2010
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Local unitary equivalence and entanglement of multipartite pure states
B. Kraus · 2010
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Tensor Rank and Stochastic Entanglement Catalysis for Multipartite Pure States
L. Chen, E. Chitambar, R. Duan, Z. Ji, and A. Winter · 2010
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Four-Qubit Entanglement Classification from String Theory
L. Borsten, D. Dahanayake, M. J. Duff, A. Marrani, and W. Rubens · 2010
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Hyperentangled Mixed Phased Dicke States: Optical Design and Detection
A. Chiuri, G. Vallone, N. Bruno, C. Macchiavello, D. Bruß, and P. Mataloni · 2010
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Operational Entanglement Families of Symmetric Mixed N-Qubit States (2010)
T. Bastin, P. Mathonet, and E. Solano · 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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The maximally entangled symmetric state in terms of the geometric measure
M. Aulbach, D. Markham, and M. Murao · 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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Geometric Entanglement of Symmetric States and the Majorana Representation
M. Aulbach, D. Markham, and M. Murao · 2010
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Quantifying quantumness and the quest for Queens of Quantum
O. Giraud, P. A. Braun, and D. Braun · 2010
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Geometry of Pure States of N Spin-J System
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Spherical designs and anticoherent spin states
J. Crann, R. Pereira, and D. W. Kribs · 2010
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Universal resources for approximate and stochastic measurement-based quantum computation
C. E. Mora, M. Piani, A. Miyake, M. Van den Nest, W. Dür, and H. J. Briegel · 2010
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Additivity and non-additivity of multipartite entanglement measures
H. Zhu, L. Chen, and M. Hayashi · 2010
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The geometric measure of multipartite entanglement and the singular values of a hypermatrix
J. J. Hilling and A. Sudbery · 2010
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Matrix permanent and quantum entanglement of permutation invariant states
T.-C. Wei and S. Severini · 2010
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Duality and the geometric measure of entanglement of general multiqubit W states
S. Tamaryan, A. Sudbery, and L. Tamaryan · 2010
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Computation of the geometric measure of entanglement for pure multiqubit states
L. Chen, A. Xu, and H. Zhu · 2010
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Local unitary group stabilizers and entanglement for multiqubit symmetric states (2010)
C. D. Cenci, D. W. Lyons, and S. N. Walck · 2010
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The invariant-comb approach and its relation to the balancedness of multipartite entangled states
A. Osterloh and J. Siewert · 2010
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