Forbidden Regimes in Distribution of Bipartite Quantum Correlations due to Multiparty Entanglement

Asutosh Kumar, Himadri Shekhar Dhar, R. Prabhu, Aditi Sen De, Ujjwal Sen

Published 2015-05-07Version 1

Monogamy is a nonclassical property that limits the amount of quantum correlation which can be shared among different parties in a multiparty quantum system. We show that the monogamy scores for the different quantum correlation measures are bounded above by the functions of genuine multipartite entanglement for a large majority of multiqubit pure states. We analytically show that the bound is universal for three-qubit states and identify the conditions for its validity in higher number of qubits. Moreover, we derive a set of necessary conditions to characterize the extremely small set of states that may violate the multiparty entanglement bound on monogamy score, and numerically observe that the bound is satisfied by almost all Haar uniformly generated multiqubit pure states. The results show that the distribution of bipartite quantum correlations in a multipartite system is restricted by its genuine multipartite entanglement content.