Tighter monogamy relations of multiqubit entanglement in terms of Rényi-$α$ entanglement

Abstract

We present a class of tight monogamy relations in terms of Rényi-α entanglement, which are tighter than the monogamy relations of multiqubit entanglement just based on the power of the Rényi-α entanglement for α ≥ 2 and the power η > 1. For 2 > α ≥ √ 7−1 2and the power η > 2, we establish a class of tight monogamy relations of multiqubit entanglement with larger lower bounds than the existing monogamy relations of multiqubit entanglement.

Tighter monogamy and polygamy relations of multiparty quantum entanglement

“…Later, it was shown that the same polygamy inequality was also generalized in terms of various assisted entanglements [17][18][19]. Recently, a class of tight monogamy relations and polygamy relations were derived in multiparty quantum systems [20][21][22][23][24][25][26][27][28]. In this paper, we establish new classes of tight monogamy and polygamy relations of multiparty entanglement for arbitrary quantum states, based on the power of the bipartite measure of entanglement and the entanglement of assistance.…”