Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical Review A

Strong monogamy of quantum entanglement for multiqubit W -class states

Jeong San Kim

Published Dec 1, 2014• 17 citations
Publisher

Abstract

We provide strong evidence for the strong monogamy inequality of multiqubit entanglement recently proposed [B. Regula et al., Phys. Rev. Lett. 113, 110501 (2014)]. We consider a large class of multiqubit generalized $W$-class states and analytically show that the strong monogamy inequality of multiqubit entanglement is saturated by this class of states.

DOI
10.1103/physreva.90.062306

Related papers

Strong monogamy of quantum entanglement for multi-qubit W-class states

Jeong San Kim

We provide a strong evidence for strong monogamy inequality of multi-qubit entanglement recently proposed in [B. Regula {\em et al.}, Phys. Rev. Lett. {\bf 113}, 110501 (2014)]. We consider a large class of multi-qubit generalized W-class states, and analytically show that the strong monogamy inequality of multi-qubit entanglement is saturated by this class of states.

arXiv:1411.4721•Nov 18, 2014•3 citations

Strong monogamy of quantum entanglement for multi-qubit W-class states

Jeong San Kim

We provide a strong evidence for strong monogamy inequality of multi-qubit entanglement recently proposed in [B. Regula {\em et al.}, Phys. Rev. Lett. {\bf 113}, 110501 (2014)]. We consider a large class of multi-qubit generalized W-class states, and analytically show that the strong monogamy inequality of multi-qubit entanglement is saturated by this class of states.

•Nov 18, 2014•0 citations

Strong monogamy of four-qubit entanglement

Bartosz Regula, Sara Di Martino, Soojoon Lee +1 more

We investigate the distribution of bipartite and multipartite entanglement in multiqubit states. In particular we define a set of monogamy inequalities sharpening the conventional Coffman-Kundu-Wootters constraints, and we provide analytical proofs of their validity for relevant classes of states. We present extensive numerical evidence validating the conjectured strong monogamy inequalities for arbitrary pure states of four qubits.

•May 15, 2014•0 citations

Maximum residual strong monogamy inequality for multiqubit entanglement

Dong-Dong Dong, Xue-Ke Song, Liu Ye +2 more

We establish two new inequalities, the weighted strong monogamy (WSM) and the maximum residual strong monogamy (MRSM), which sharpen the generalized Coffman-Kundu-Wootters inequity for multiqubit states. The WSM inequality distinguishes itself from the strong monogamy (SM) conjecture [Phys. Rev. Lett. 113, 110501 (2014)] by using coefficients rather than exponents to modulate the weight allocated to various m-partite contributions. In contrast, the MRSM inequality is formulated using only the maximum m-partite entanglement. We find that the residual entanglement of the MRSM inequality can effectively distinguish the separable states. We also compare the tightness of various SM inequalities and provide examples using a four-qubit mixed state and a five-qubit pure state to illustrate the MRSM inequality. These examples characterize the trade-off relations among entanglement components involving varying numbers of qubits. Our results provide a rigorous framework to characterize and quantify the monogamy of multipartite entanglement.

quant-pharXiv:2602.10668•Physical Review A•Feb 12, 2026•0 citations

Strong Monogamy Conjecture for Multiqubit Entanglement: The Four-Qubit Case

Bartosz Regula, Sara Di Martino, Soojoon Lee +1 more

We investigate the distribution of bipartite and multipartite entanglement in multiqubit states. In particular, we define a set of monogamy inequalities sharpening the conventional Coffman-Kundu-Wootters constraints, and we provide analytical proofs of their validity for relevant classes of states. We present extensive numerical evidence validating the conjectured strong monogamy inequalities for arbitrary pure states of four qubits.

arXiv:1405.3989•Physical Review Letters•Sep 10, 2014•93 citations

General Monogamy Relations for Multiqubit W-class States in terms of negativity and squared Rényi-$α$ entanglement

Yanying Liang, Xiufang Feng, Wei Chen

For multipartite entangled states, entanglement monogamy is an important property. We investigate the monogamy relations for multiqubit generalized W-class states. We present new analytical monogamy inequalities satisfied by the $x$-th power of the dual of convex-roof extended negativity, namely CRENOA, for $x\geq2$ and $x\leq0$. As for The squared Rényi-$α$ entanglement (SR$α$E) with $α$ in the region $[(\sqrt 7 - 1)/2,(\sqrt {13} - 1)/2]$, we show the upper bound of SR$α$E.

arXiv:1703.09437•Mar 28, 2017•0 citations
We provide strong evidence for the strong monogamy inequality of multiqubit entanglement recently proposed [B. Regula et al., Phys. Rev. Lett. 113, 110501 (2014)]. We consider a large class of multiqubit generalized WWW-class states and analytically show that the strong monogamy inequality of multiqubit entanglement is saturated by this class of states.
We establish two new inequalities, the weighted strong monogamy (WSM) and the maximum residual strong monogamy (MRSM), which sharpen the generalized Coffman-Kundu-Wootters inequity for multiqubit states. The WSM inequality distinguishes itself from the strong monogamy (SM) conjecture [Phys. Rev. Lett. 113, 110501 (2014)] by using coefficients rather than exponents to modulate the weight allocated to various m-partite contributions. In contrast, the MRSM inequality is formulated using only the maximum m-partite entanglement. We find that the residual entanglement of the MRSM inequality can effectively distinguish the separable states. We also compare the tightness of various SM inequalities and provide examples using a four-qubit mixed state and a five-qubit pure state to illustrate the MRSM inequality. These examples characterize the trade-off relations among entanglement components involving varying numbers of qubits. Our results provide a rigorous framework to characterize and quantify the monogamy of multipartite entanglement.
General Monogamy Relations for Multiqubit W-class States in terms of negativity and squared Rényi-ααα entanglement
For multipartite entangled states, entanglement monogamy is an important property. We investigate the monogamy relations for multiqubit generalized W-class states. We present new analytical monogamy inequalities satisfied by the xxx-th power of the dual of convex-roof extended negativity, namely CRENOA, for x≥2x\geq2x≥2 and x≤0x\leq0x≤0. As for The squared Rényi-ααα entanglement (SRαααE) with ααα in the region [(7−1)/2,(13−1)/2][(\sqrt 7 - 1)/2,(\sqrt {13} - 1)/2][(7​−1)/2,(13​−1)/2], we show the upper bound of SRαααE.