01086nas a2200169   4500000000100000000000100001000000100002008004100003100001700044700002200061700002100083700002200104245004400126300001100170490000700181520072800188       2012                            d1 aŁ. Rudnicki1 aZbigniew Puchała1 aPaweł Horodecki1 aKarol Życzkowski00aCollectibility for Mixed Quantum States  a0623290 v863 aBounds analogous to entropic uncertainty relations allow one to design practical tests to detect quantum entanglement by a collective measurement performed on several copies of the state analyzed. This approach, initially worked out for pure states only [ Phys. Rev. Lett. 107 150502 (2011)], is extended here for mixed quantum states. We define collectibility for any mixed states of a multipartite system. Deriving bounds for collectibility for positive partially transposed states of given purity provides insight into the structure of entangled quantum states. In the case of two qubits the application of complementary measurements and coincidence based detections leads to a test of entanglement of pseudopure states.