Tighter constraints of multiqubit entanglement for negativity

Long-Mei Yang, Bin Chen, Shao-Ming Fei, and Zhi-Xi Wang

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Submission date: 19. Jan. 2020
Pages: 10
published in: Quantum information processing, 19 (2020) 1, art-no. 4 
DOI number (of the published article): 10.1007/s11128-019-2513-1
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Abstract:
We provide a characterization of multiqubit entanglement monogamy and polygamy constraints in terms of negativity. Using the square of convex-roof extended negativity (SCREN) and the Hamming weight of the binary vector related with the distribution of subsystems proposed in [Phys. Rev. A 97,012334], we provide a new class of monogamy inequalities of multiqubit entanglement based on the αth power of SCREN for α ≥ 1, and polygamy inequalities for 0 ≤ α ≤ 1 in terms of squared convex-roof extended negativity of assistance (SCRENoA). For the case α < 0, we give the corresponding polygamy and monogamy relations for SCREN and SCRENoA, respectively. We also show that these new inequalities give rise to tighter constraints than the existing ones.