2022
DOI: 10.48550/arxiv.2205.11972
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Tighter monogamy relations in multiparty quantum systems

Abstract: We investigate tight monogamy relations of multiparty quantum entanglement for any quantum state in this paper. First, we obtain a class of lower bounds for multiparty quantum systems which improve the previous results. Next, we establish a class of tighter monogamy relations in tripartite quantum systems by means of the new inequality. Furthermore, we generalize this relations to multiparty quantum systems. And then we prove the lower bounds we obtained are larger than the existing ones. Detailed examples are… Show more

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Cited by 1 publication
(2 citation statements)
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“…where P = 1 2 (r 2 0 + r 2 ) in equation ( 22) is the state purity measure obtained earlier in equation (19). It follows from equations ( 20) , ( 21) , ( 22) that the mixed state measure M is a composite of the characteristic elements ε ∓ , λ ∓ , ε (ϕ = tan −1 |r| r0 ), which have been variously identified as basic quantifiers of entanglement or nonclassicality of the atomic state in the normalized state (r 0 = 1) JC model [4-6 , 20 , 21].…”
Section: Characteristic Elements Of State Purity Measurementioning
confidence: 99%
See 1 more Smart Citation
“…where P = 1 2 (r 2 0 + r 2 ) in equation ( 22) is the state purity measure obtained earlier in equation (19). It follows from equations ( 20) , ( 21) , ( 22) that the mixed state measure M is a composite of the characteristic elements ε ∓ , λ ∓ , ε (ϕ = tan −1 |r| r0 ), which have been variously identified as basic quantifiers of entanglement or nonclassicality of the atomic state in the normalized state (r 0 = 1) JC model [4-6 , 20 , 21].…”
Section: Characteristic Elements Of State Purity Measurementioning
confidence: 99%
“…In [14], Wootters presented an excellent review of the definition of entanglement of formation and the derivation of exact formulas of concurrence based on the state conjugation symmetry operations introduced in [8 -11]. Concurrence has taken a central position in studies of entanglement of multipartite systems and current research interest is now focussed on lower bounds and monogamy of concurrence of mixed state multipartite systems [15][16][17][18][19].…”
Section: Introductionmentioning
confidence: 99%