Monogamy of entanglement for tripartite systems

Abstract

We study the monogamy of arbitrary quantum entanglement measures $E$ for tripartite quantum systems. Both sufficient and necessary conditions for $E$ to be monogamous in terms of the $\alpha$th power of $E$ are explicitly derived. It is shown that such monogamy of a entanglement measure $E$ only depends on the boundedness of the solution set of certain equations. Moreover, the monogamy conditions have been also obtained with respect to certain subsets of quantum states for a given quantum correlation. Detailed examples are given to illustrate our results.

arXiv comment6 pages, 2 figures

References in corpus (26)

• Introducing Quantum Discord
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Monogamy of entanglement and other correlations
• Generalized Schmidt decomposition and classification of three-quantum-bit states
• Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity
• General monogamy relation for the entanglement of formation in multiqubit systems
• Entanglement monogamy relations of qubit systems
• Duality for monogamy of entanglement
• Conditions for Monogamy of Quantum Discord: Greenberger-Horne-Zeilinger versus W states
• Deterministic Entanglement of Assistance and Monogamy Constraints
• Monogamy of entanglement of formation
• Should Entanglement Measures be Monogamous or Faithful?
• Entanglement monogamy and entanglement evolution in multipartite systems
• General Monogamy of Tsallis $q$-Entropy Entanglement in Multiqubit Systems
• Disentangling Theorem and Monogamy for Entanglement Negativity
• Entanglement Monogamy of Tripartite Quantum States
• Monogamy of entanglement without inequalities
• Tighter entanglement monogamy relations of qubit systems
• Monogamy of the Entanglement of Formation
• Monogamy of quantum correlations in three qubit pure states using Rajagopal-Rendell (RR) quantum deficit
• Any entanglement of assistance is polygamous
• General Monogamy Relations of Quantum Entanglement for Multiqubit W-class States
• Conditions for monogamy of quantum correlations in multipartite systems
• Strict entanglement monotonicity under local operations and classical communication
• Monogamy relations of concurrence for any dimensional quantum systems

Cited by in corpus (2)

• Quantumness of gravitational field: A perspective on monogamy relation
• General monogamy and polygamy relations of arbitrary quantum correlations for multipartite systems