Entanglement detection via general SIC-POVMs

We study separability problem using general symmetric informationally complete measurements and propose separability criteria in $$\mathbb {C}^{d_{1}}\otimes \mathbb {C}^{d_{2}}$$Cd1źCd2 and $$\mathbb {C}^{d_{1}}\otimes \mathbb {C}^{d_{2}}\cdots \otimes \mathbb {C}^{d_{n}}$$Cd1źCd2źźCdn. Our criteria just require less local measurements and provide experimental implementation in detecting entanglement of unknown quantum states.