Optimal local protocols for processing of entangled states – local cloning and eavesdropping. (English) Zbl 1197.81073
Horodecki, Ryszard (ed.) et al., Quantum cryptography and computing. Theory and implementation. Selected papers based on the presentations at the workshop, Gdansk, Poland, September 9–12, 2009. Amsterdam: IOS Press (ISBN 978-1-60750-546-4/hbk; 978-1-60750-547-1/ebook). NATO Science for Peace and Security Series D: Information and Communication Security 26, 3-17 (2010).
Summary: The problem of looking for the optimal local operations assisted by classical communication (LOCC) is investigated. A method based on semi-definite programming is presented providing the optimal solutions or in worst case the upper bounds. The method is applied successfully to two problems: local cloning of entangled states and local eavesdropping on secret sharing protocols.
For the entire collection see [Zbl 1194.81015].
For the entire collection see [Zbl 1194.81015].
MSC:
| 81P45 | Quantum information, communication, networks (quantum-theoretic aspects) |
| 81P40 | Quantum coherence, entanglement, quantum correlations |
| 81P94 | Quantum cryptography (quantum-theoretic aspects) |
| 94A60 | Cryptography |
| 81P50 | Quantum state estimation, approximate cloning |
