Tighter monogamy and polygamy relations of multiparty quantum entanglement

Tighter monogamy relations in multiparty quantum systems

“…Then, by making full use of the new inequality, we establish a general framework of monogamy relations for arbitrary quantum states. The lower bounds obtained by us are tighter than existing ones [30][31][32][33][34][35][36][37][39][40][41][42]. To illustrate our results obviously, two examples are presented in term of the µ-th power of concurrence.…”

“…In this section, we will obtain a new class of the monogamy inequalities for N -party quantum states according to the inequality of Lemma 1, which are more accurate than the results of [39,Theorem 3]. Based on Lemma 4, we then provide a class of tighter monogamy relations which are better than the existing ones.…”

“…In Sec. III, we obtain the lower bounds of the monogamy inequalities for N -party quantum states which are greater than the result of [39,Theorem 3]. Then, by making full use of the new inequality, we establish a general framework of monogamy relations for arbitrary quantum states.…”

“…Further some scholars have established a class of monogamy relations in term of Hamming weights [31][32][33][34][35][36][37]. Recently, Gao et al constructed some inequalities and got a class of tighter monogamy relations [38,39].…”

Monogamy of Entanglement Measures Based on Fidelity in Multiqubit Systems

“…In fact, Theorem can be further refined and become tighter, the results and the proofs can be obtained by following the approach given in Ref. [47]. Our results indicate that Bures measure of entanglement and geometric measure of entanglement are good measures of entanglement for MoE in multiqubit systems.…”