Generalized W-Class State and its Monogamy Relation

Abstract

We generalize the W class of states from $n$ qubits to $n$ qudits and prove that their entanglement is fully characterized by their partial entanglements even for the case of the mixture that consists of a W-class state and a product state ${|0⟩}^{\otimes n}$.

12 pages, 1 figure

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Cited by in corpus (42)

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• Limitations to sharing entanglement
• Generalized Monogamy Relations of Concurrence for N-qubit Systems
• Multipartite Quantum Entanglement Evolution in Photosynthetic Complexes
• Monogamy of the Entanglement of Formation
• The Decay of Multiqudit Entanglement
• Weighted polygamy inequalities of multiparty entanglement in arbitrary dimensional quantum systems
• Quantum localized states in photonic flat-band lattices
• Minimal control power of the controlled teleportation
• General Monogamy Relations of Quantum Entanglement for Multiqubit W-class States
• Finer Distribution of Quantum Correlations among Multiqubit Systems
• Monogamy relations for generalized W class states in terms of Tsallis entropy beyond qubits
• Tighter monogamy relations of quantum entanglement for multiqubit W-class states
• Examining the dimensionality of genuine multipartite entanglement
• Strong monogamy of multi-party quantum entanglement for partially coherently superposed states
• Criteria for non-$k$-separability of $n$-partite quantum states
• Monogamy of quantum entanglement
• Polygamy of Entanglement in Multipartite Quantum Systems
• Improved monogamy relations with concurrence of assistance and negativity of assistance for multiqubit W-class states
• Tighter monogamy and polygamy relations of multiparty quantum entanglement
• Monogamy relations and upper bounds for the generalized $W$-class states using Rényi-$\alpha$ entropy
• Entanglement Property and Monogamy Relation of Gerneralized Mixed W
• Generalized monogamy inequalities of convex-roof extended negativity in $N$-qubit systems
• Reducible Correlations in Dicke States
• Generalised monogamy relation of convex-roof extended negativity in multi-level systems
• Tighter monogamy and polygamy relations for a superposition of the generalized $W$-class state and vacuum
• On the non-$k$-separability of Dicke class of states and $N$-qudit W states
• Tighter monogamy relations of entanglement measures based on fidelity
• Constraint on teleportation over multipartite pure states
• Tighter Constraints of Multi-Qubit Entanglement in Terms of Nonconvex Entanglement Measures LCREN and LCRENoA
• W-class states-identification and quantification of Bell-CHSH inequalities' violation
• Generalized product-form monogamy relations in multi-qubit systems
• Quantum Circuits for High-Dimensional Absolutely Maximally Entangled States
• Degrees of Entanglement in Systems of Three Indistinguishable Bosons: Revisiting the Greenberger-Horne-Zeilinge State
• Monogamy of entanglement of maximal dimension
• Unified monogamy relations for the generalized $W$-class states beyond qubits
• Monogamy and polygamy for multi-qudit generalized $W$-class states based on concurrence of assistance and Tsallis-$q$ entanglement of assistance