1 / 26

Title: Manipulating Multi-partite Entanglement Witnesses by using Linear Programming

Iran International Conference on Quantum Information Kish Island, Iran 7-10 September 2007. Title: Manipulating Multi-partite Entanglement Witnesses by using Linear Programming By: M.A. Jafarizadeh, G. Najarbashi, Y. Akbari, Hessam Habibian

idalia
Download Presentation

Title: Manipulating Multi-partite Entanglement Witnesses by using Linear Programming

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Iran International Conference on Quantum Information Kish Island, Iran 7-10 September 2007 Title: Manipulating Multi-partite Entanglement Witnesses by using Linear Programming By:M.A. Jafarizadeh, G. Najarbashi, Y. Akbari, Hessam Habibian Department of Theoretical Physics and Astrophysics, Tabriz University, Tabriz 51664, Iran

  2. Outline • Motivation • Entanglement Witnesses & Convex Optimization • Manipulating Entanglement Witnesses by Linear Programming • Multi-partite Entanglement Witnesses • Optimality, Decomposability & Positive maps • Conclusion

  3. Motivation

  4. 1. Entanglement Witnesses

  5. NPPT separable PPT Bounded entangled states(BES) which can be detected by Non-Decomposable EWs but not PPT criteria.

  6. 3. Manipulating EWs by LP method

  7. 4. Multi-qudit Reduction type EWs Jafarizadeh, Najarbashi, Habibian: PRA_75_052326

  8. 4.1 Optimality and Decomposability of

  9. Decomposable ? Non-Decomposable

  10. 4.2 Positive Maps

  11. 5. Stabilizer EWs Jafarizadeh, Najarbashi, Akbari, Habibian, arXiv: 0704.2414v1

  12. Conclusion • The advantage of reducing manipulation of EWs to LP problem is to find optimal (Decomposable or Non-decomposable) EWs and it leads to detect larger areas of entanglement even when we solve our problem with approximated LP ones. • Studying Decomposable and Non-decomposable regions in multi-partite systems are so difficult which might be simplified by this method. • Multi-partite EWs open a new aspects to introduce many positive maps. Thanks for your attention Nonlinear Convex Optimization

More Related