Tighter Constraints of Multipartite Systems in terms of General Quantum Correlations

Abstract

Monogamy and polygamy relations characterize the quantum correlation distributions among multipartite quantum systems. We investigate the monogamy and polygamy relations satisfied by measures of general quantum correlation. By using the Hamming weight, we derive new monogamy and polygamy inequalities satisfied by the $\beta$-th power and the $\alpha$-th power of general quantum correlations, respectively. We show that these monogamy and polygamy relations are tighter than the existing ones, such as [Int. J. Theor. Phys. 60, 1455-1470 (2021)]. Taking concurrence and the Tsallis-$q$ entanglement of assistance as examples, we show the advantages of our results.

9 pages, 2 figures

References in corpus (9)

• General Monogamy Inequality for Bipartite Qubit Entanglement
• Is Entanglement Monogamous?
• Duality for monogamy of entanglement
• Deterministic Entanglement of Assistance and Monogamy Constraints
• Entanglement Monogamy of Tripartite Quantum States
• Strong Monogamy of Bipartite and Genuine Multipartite Entanglement: The Gaussian Case
• Superactivation of monogamy relations for nonadditive quantum correlation measures
• Tighter constraints of multiqubit entanglement
• Quantum algorithms for the generalized eigenvalue problem

Cited by in corpus (1)

• Tighter monogamy relations of entanglement measures based on fidelity