eprintid: 1362185 rev_number: 23 eprint_status: archive userid: 608 dir: disk0/01/36/21/85 datestamp: 2012-09-14 21:20:10 lastmod: 2021-09-20 22:32:05 status_changed: 2012-09-14 21:20:10 type: article metadata_visibility: show item_issues_count: 0 creators_name: Horodecki, K creators_name: Horodecki, M creators_name: Horodecki, P creators_name: Oppenheim, J title: Secure key from bound entanglement ispublished: pub divisions: UCL divisions: B04 divisions: C06 divisions: F60 note: © 2005 The American Physical Society abstract: We characterize the set of shared quantum states which contain a cryptographically private key. This allows us to recast the theory of privacy as a paradigm closely related to that used in entanglement manipulation. It is shown that one can distill an arbitrarily secure key from bound entangled states. There are also states that have less distillable private keys than the entanglement cost of the state. In general, the amount of distillable key is bounded from above by the relative entropy of entanglement. Relationships between distillability and distinguishability are found for a class of states which have Bell states correlated to separable hiding states. We also describe a technique for finding states exhibiting irreversibility in entanglement distillation. date: 2005 publisher: APS official_url: http://dx.doi.org/10.1103/PhysRevLett.94.160502 vfaculties: VMPS oa_status: green language: eng primo: open primo_central: open_green article_type_text: article verified: verified_manual elements_source: Manually entered elements_id: 438935 doi: 10.1103/PhysRevLett.94.160502 lyricists_name: Oppenheim, Jonathan lyricists_id: JOPPE44 full_text_status: public publication: Physical review letters volume: 94 number: 16 article_number: 160502 pagerange: - citation: Horodecki, K; Horodecki, M; Horodecki, P; Oppenheim, J; (2005) Secure key from bound entanglement. Physical review letters , 94 (16) , Article 160502. 10.1103/PhysRevLett.94.160502 <https://doi.org/10.1103/PhysRevLett.94.160502>. Green open access document_url: https://discovery.ucl.ac.uk/id/eprint/1362185/1/e160502.pdf