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Physical Review Letters, ISSN 0031-9007, 02/2011, Volume 106, Issue 6, p. 060401
Quantum entanglement, one of the defining features of quantum mechanics, has been demonstrated in a variety of nonlinear spinlike systems. Quantum entanglement... 
STANDARD QUANTUM LIMIT | PHYSICS, MULTIDISCIPLINARY | PHASE QUBITS | SPINS | MULTIPARTITE ENTANGLEMENT | NOON STATES | IONS | GENERATION | CIRCUIT
Journal Article
Quantum Information Processing, ISSN 1570-0755, 2014, Volume 13, Issue 4, pp. 1045 - 1056
In this paper, the dynamics evolution of multipartite entanglement for each qubit interacting with a local decoherence channel, such as phase damping, phase... 
Multipartite concurrence | Decoherence | X states
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 12/2017, Volume 232, pp. 201 - 206
Let be a graph with vertices and its Laplacian matrix. Define to be the of , where denotes the sum of degrees of all vertices of . Let be the eigenvalues of .... 
Density matrix | Random multipartite graphs | von Neumann entropy | MATHEMATICS, APPLIED
Journal Article
Optics Communications, ISSN 0030-4018, 09/2019, Volume 446, pp. 39 - 43
The monogamy relations of quantum correlation restrict the sharability of quantum correlations in multipartite quantum states. We show that all measures of... 
Multipartite state | Quantum correlation | Monogamy relation | OPTICS | ENTANGLEMENT | DISCORD
Journal Article
New Journal of Physics, ISSN 1367-2630, 08/2018, Volume 20, Issue 8, p. 83041
Finding ways to test the behaviour of quantum devices is a timely enterprise, especially in light of the rapid development of quantum technologies.... 
nonlocality | self-Testing | device-independence | multipartite entanglement | PHYSICS, MULTIDISCIPLINARY | self-testing | Physics - Quantum Physics
Journal Article
Physical Review Letters, ISSN 0031-9007, 12/2011, Volume 107, Issue 24, p. 240502
We determine the complete set of generalized spin squeezing inequalities, given in terms of the collective angular momentum components, for particles with an... 
MULTIPARTITE ENTANGLEMENT | STATES | PHYSICS, MULTIDISCIPLINARY | SEPARABILITY
Journal Article
Journal of Combinatorial Designs, ISSN 1063-8539, 03/2020, Volume 28, Issue 3, pp. 171 - 206
In this paper, we define a new class of partially filled arrays, called relative Heffter arrays, that are a generalization of the Heffter arrays introduced by... 
Heffter array | orthogonal cyclic cycle decomposition | multipartite complete graph
Journal Article
Journal of Combinatorial Designs, ISSN 1063-8539, 03/2020, Volume 28, Issue 3, pp. 224 - 260
In this paper, we study the existence problem for cyclic ℓ‐cycle decompositions of the graph K m [ n ], the complete multipartite graph with m parts of size n,... 
cycle systems | complete multipartite graph | cyclic cycle systems
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 12/2017, Volume 232, pp. 41 - 49
Given a complete multipartite graph , we explicitly formulate the effective resistance distance between any two vertices of , using methods from linear... 
Complete multipartite graph | Resistance distance | Kirchhoff index | MATHEMATICS, APPLIED | Algebra
Journal Article
Discrete Mathematics, ISSN 0012-365X, 02/2016, Volume 339, Issue 2, pp. 597 - 605
A multipartite or -partite tournament is an orientation of a complete -partite graph. In 2013, Lu, Guo and Surmacs introduced the concept of quasi-Hamiltonian... 
Multipartite tournament | Quasi-Hamiltonian connectivity | MATHEMATICS | DIGRAPHS
Journal Article
New Journal of Physics, ISSN 1367-2630, 09/2017, Volume 19, Issue 9, p. 93012
The laws of quantum mechanics allow for the distribution of a secret random key between two parties. Here we analyse the security of a protocol for... 
quantum networks | quantum cryptography | multipartite entanglement | PHYSICS, MULTIDISCIPLINARY | PROOF | UNCONDITIONAL SECURITY | CRYPTOGRAPHY | Public Key Infrastructure
Journal Article
Physics Letters A, ISSN 0375-9601, 08/2018, Volume 382, Issue 31, pp. 2044 - 2048
In this paper, we propose a scheme for generating multipartite entanglement of distant four-level atoms separately trapped in individual cavities, each of... 
Quantum information and processing | Multipartite entanglement | Non-Markovian environments | PHYSICS, MULTIDISCIPLINARY | Measurement | Markov processes
Journal Article
Laser Physics Letters, ISSN 1612-2011, 12/2014, Volume 11, Issue 12, p. 125201
We present a hyperconcentration scheme for nonlocal N-photon hyperentangled Greenberger-Horne-Zeilinger states. The maximally hyperentangled state, in which N... 
entanglement concentration | multipartite state | linear optics | hyperentanglement | PHYSICS, APPLIED | QUANTUM-DOT SPINS | STATE | OPTICS | CRYPTOGRAPHY | Physics - Quantum Physics
Journal Article
NEW JOURNAL OF PHYSICS, ISSN 1367-2630, 02/2019, Volume 21, Issue 2, p. 23016
Local measurements acting on entangled quantum states give rise to a rich correlation structure in the multipartite scenario. We introduce a versatile... 
Bell inequalities | multipartite | PHYSICS, MULTIDISCIPLINARY | entanglement | Bell non-locality | QUANTUM NONLOCALITY | CRYPTOGRAPHY
Journal Article
Discrete Mathematics, ISSN 0012-365X, 09/2015, Volume 338, Issue 9, pp. 1586 - 1594
The existence of symmetric Hamilton cycle decompositions for complete graphs and cocktail party graphs has been defined and explored in recent work by Akiyama... 
Invariant | Hamilton cycle | Decomposition | Multipartite | Symmetric | Complete
Journal Article
Reports on Progress in Physics, ISSN 0034-4885, 04/2015, Volume 78, Issue 4, pp. 042001 - 79
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 01/2020, Volume 585, pp. 227 - 240
A signed graph is a graph with a sign attached to each of its edges, where is the underlying graph of . The energy of a signed graph is the sum of the absolute... 
Random multipartite signed graph | Random signed graph | Energy | Empirical spectral distribution | MATHEMATICS | MATHEMATICS, APPLIED | MATRICES | BALANCE
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 01/2020, Volume 584, pp. 438 - 457
Let be a complete -partite graph with and . Varghese et al. (2018) conjectured that the distance energy of is always increased when an edge is deleted. In this... 
Quotient matrix | Complete multipartite graph | Edge deletion | Distance energy change | Distance energy | MATHEMATICS | MATHEMATICS, APPLIED | SPECTRA
Journal Article
Theoretical Computer Science, ISSN 0304-3975, 03/2019
Journal Article
Electronic Notes in Discrete Mathematics, ISSN 1571-0653, 08/2017, Volume 61, pp. 917 - 923
A chord diagram is a set of chords of a circle in which no pair of chords has a common endvertex. For a chord diagram having a crossing , the expansion of with... 
Tutte polynomial | complete multipartite graph | chord diagram
Journal Article
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