Eur. Phys. J. D (2014) 68: 324
https://doi.org/10.1140/epjd/e2014-50411-1

Regular Article

Strong polygamy of quantum correlations in multi-party quantum systems

Department of Mathematics, University of Suwon, 445-743 Kyungki-do, Korea

^a e-mail: freddie1@suwon.ac.kr

Received: 28 May 2014
Received in final form: 25 August 2014
Published online: 28 October 2014

Abstract

We propose a new type of polygamy inequality for multi-party quantum entanglement. We first consider the possible amount of bipartite entanglement distributed between a fixed party and any subset of the rest parties in a multi-party quantum system. By using the summation of these distributed entanglements, we provide an upper bound of the distributed entanglement between a party and the rest in multi-party quantum systems. We then show that this upper bound also plays as a lower bound of the usual polygamy inequality, therefore the strong polygamy of multi-party quantum entanglement. For the case of multi-party pure states, we further show that the strong polygamy of entanglement implies the strong polygamy of quantum discord.