Distillation of secret key and entanglement from quantum states
| dc.creator | Devetak, Igor | |
| dc.creator | Winter, Andreas | |
| dc.date | 2003-06-11 | |
| dc.date.accessioned | 2026-07-07T06:07:06Z | |
| dc.date.available | 2026-07-07T06:07:06Z | |
| dc.description | We study and solve the problem of distilling secret key from quantum states representing correlation between two parties (Alice and Bob) and an eavesdropper (Eve) via one-way public discussion: we prove a coding theorem to achieve the "wire-tapper" bound, the difference of the mutual information Alice-Bob and that of Alice-Eve, for so-called cqq-correlations, via one-way public communication. This result yields information--theoretic formulas for the distillable secret key, giving ``ultimate'' key rate bounds if Eve is assumed to possess a purification of Alice and Bob's joint state. Specialising our protocol somewhat and making it coherent leads us to a protocol of entanglement distillation via one-way LOCC (local operations and classical communication) which is asymptotically optimal: in fact we prove the so-called "hashing inequality" which says that the coherent information (i.e., the negative conditional von Neumann entropy) is an achievable EPR rate. This result is well--known to imply a whole set of distillation and capacity formulas which we briefly review. | |
| dc.description | 17 pages LaTeX, 1 drawing (eps) | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0306078 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0306078 | |
| dc.identifier | Proc. R. Soc. Lond. A, vol 461, pp 207--235, 2005. | |
| dc.identifier | doi:10.1098/rspa.2004.1372 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/91173 | |
| dc.subject | Quantum Physics | |
| dc.title | Distillation of secret key and entanglement from quantum states | |
| dc.type | text |