1、Quantum entanglement measures and detection中国科学院中国科学技术大学量子信息重点实验室Zheng-Wei Zhou (周正威 )合作者lUniv. of Sci. & Tech. of China蔡建明,孙方稳,张顺,郭光灿lPenn State周幸祥1 Background: Quantum Entanglement2 Entanglement Measures(a) Reviews for entanglement measures(b) Information-theoretic measure of entanglementbased on
2、information complementary relation(c) Compatibility conditions from multipartite entanglement3 Detection for Entanglement MeasuresOutlines1 Background: Quantum Entanglement2 Entanglement Measures(a) Reviews for entanglement measures(b) Information-theoretic measure of entanglementbased on informatio
3、n complementary relation(c) Compatibility conditions from multipartite entanglement3 Detection for Entanglement MeasuresEPRs Paradox and Bells InequalityBell Inequality (1960) CHSH-Bell Inequality (1969)What is Entanglement ?Separable statesWerner (1989): A state is called entangled if it cannot be
4、prepared by local operations (and classical communication) out of a product state. Entanglement in Quantum Information and PhysicsQuantum TeleportationQuantum Dense CodingQuantum CryptographyQuantum Communication ProtocolTheory on Quantum ChannelQuantum Error Correction CodingQuantum Computation via
5、 Quantum entanglementEntanglement and Quantum Phase TransitionStudies on Entanglement How to distinguish entanglement and separability? How to quantify quantum entanglement? How to classify many body entangled states?1 Background: Quantum Entanglement2 Entanglement Measures(a) Reviews for entanglement measures(b) Information-theoretic measure of entanglementbased on information complementary relation(c) Compatibility conditions from multipartite entanglement3 Detection for Entanglement MeasuresPostulates for Entanglement Measures does not change under local unitary operations Convexity