Weaker entanglement guarantees stronger entanglement

Abstract

The monogamy of entanglement is one of the basic quantum mechanical features, which says that when two partners Alice and Bob are more entangled then either of them has to be less entangled with the third party. Here we qualitatively present the converse monogamy of entanglement: given a tripartite pure system and when Alice and Bob are weakly entangled, then either of them is generally strongly entangled with the third party. Our result leads to the classification of tripartite pure states based on bipartite reduced density operators, which is a novel and effective way to this long-standing problem compared to the means by stochastic local operations and classical communications. We also systematically indicate the structure of the classified states and generate them.

5 pages, 1 table, 1 figure. The paper has been totally rewritten according to the comments from editors

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• Generalized Geometric Measure of Entanglement for Multiparty Mixed States
• All Multiparty Quantum States Can Be Made Monogamous
• Characterization of Tripartite Quantum States with Vanishing Monogamy Score
• Light Cone-Like Behavior of Quantum Monogamy Score and Multisite Entanglement
• Do Large Number of Parties Enforce Monogamy in All Quantum Correlations?
• Exclusion Principle for Quantum Dense Coding
• Enhancement of Quantum Correlation Length in Quenched Disordered Spin Chains
• Maximally dense coding capable quantum states
• Conditions for monogamy of quantum correlations in multipartite systems
• Beating no-go theorems by engineering defects in quantum spin models
• Computable genuine multimode entanglement measure: Gaussian vs. non-Gaussian
• Universality in Distribution of Monogamy Scores for Random Multiqubit Pure States
• Shared Purity of Multipartite Quantum States
• Locally Accessible Information of Multisite Quantum Ensembles Violates Monogamy
• Information complementarity in multipartite quantum states and security in cryptography
• Exclusion principle for nonlocal advantage of quantum coherence
• Quantum one-time tables for unconditionally secure qubit-commitment
• Distribution of Bell inequality violation vs. multiparty quantum correlation measures
• Entangling power of two-qubit unitary operations
• A complete picture of the four-party linear inequalities in terms of the 0-entropy
• Non-distillable entanglement guarantees distillable entanglement
• Activation of Nonmonogamous Multipartite Quantum States
• Fully undistillable quantum states are separable
• Restrictions on shareability of classical correlations for random multipartite quantum states
• Entanglement Swapping Model of DNA Replication
• The detection power of real entanglement witnesses under local unitary equivalence
• Maximal extension on converse monogamy of entanglement for tripartite pure states