Complementarity relations between quantum steering criteria

Abstract

Recently, a connection between quantum coherence and quantum steering was established, and criteria for quantum steering or, in other words, nonlocal advantage of quantum coherence (NAQC) were derived for two-qubit states. Here we derive a set of complementarity relations between the steering or NAQC inequalities achieved by various criteria. We also extend the idea in the multipartite scenario, specifically, in the three-qubit scenario, which can easily be generalized to the multipartite scenario.