Monogamy of quantum entanglement

XL Zong, HH Yin, W Song, ZL Cao - Frontiers in Physics, 2022 - frontiersin.org
Unlike classical correlation, quantum entanglement cannot be freely shared among many
parties. This restricted shareability of entanglement among multi-party systems is known as …

Convex geometry of quantum resource quantification

B Regula - Journal of Physics A: Mathematical and Theoretical, 2017 - iopscience.iop.org
We introduce a framework unifying the mathematical characterisation of different measures
of general quantum resources and allowing for a systematic way to define a variety of faithful …

Monogamy of quantum correlations-a review

HS Dhar, AK Pal, D Rakshit, A Sen, U Sen - Lectures on General Quantum …, 2017 - Springer
Monogamy is an intrinsic feature of quantum correlations that gives rise to several
interesting quantum characteristics which are not amenable to classical explanations. The …

Tighter monogamy relations in multiqubit systems

ZX **, J Li, T Li, SM Fei - Physical Review A, 2018 - APS
Monogamy relations characterize the distributions of entanglement in multipartite systems.
We investigate monogamy relations related to the concurrence C, the entanglement of …

Monogamy of entanglement without inequalities

G Gour, Y Guo - Quantum, 2018 - quantum-journal.org
We provide a fine-grained definition for monogamous measure of entanglement that does
not invoke any particular monogamy relation. Our definition is given in terms an equality, as …

General monogamy relation of multiqubit systems in terms of squared Rényi- entanglement

W Song, YK Bai, M Yang, M Yang, ZL Cao - Physical Review A, 2016 - APS
We prove that the squared Rényi-α entanglement (SR α E), which is the generalization of
entanglement of formation, obeys a general monogamy inequality in an arbitrary N-qubit …

Monogamy of the entanglement of formation

Y Guo, G Gour - Physical Review A, 2019 - APS
We show that any measure of entanglement that on pure bipartite states is given by a strictly
concave function of the reduced density matrix is monogamous on pure tripartite states. This …

Negativity and tight constraints of multiqubit entanglement

JS Kim - Physical Review A, 2018 - APS
We provide a characterization of multiqubit entanglement constraints in terms of negativity.
By using the square of convex-roof extended negativity (SCREN) and the Hamming weight …

Monogamy and polygamy for the generalized W-class states using unified-(q, s) entropy

B Li, B **e, Z Zhang, H Fan - Science China Physics, Mechanics & …, 2024 - Springer
We describe the entanglement distribution and restricted shareability of the multipartite
generalized W-class states and their reduced density matrix under arbitrary partitions by …

Tighter parameterized monogamy relations

Y Cao, N **g, K Misra, Y Wang - Quantum Information Processing, 2024 - Springer
We seek a systematic tightening method to represent the monogamy relation for some
measure in multipartite quantum systems. By introducing a family of parameterized bounds …