The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Distillation of secret key and entanglement from quantum states
Open accessAbstract
We study and solve the problem of distilling a 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 classical–quantum–quantum–correlations, via one–way public communication. This result yields information–theoretic formulae 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. Specializing 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 Einstein–Podolsky–Rosen rate. This result is known to imply a whole set of distillation and capacity formulae, which we briefly review.
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Cites
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
Bennett, C. H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., & Wootters, W. K. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.1895 · Cited by 13,703
Fidelity for Mixed Quantum States
Jozsa, R. (1994) · Journal of Modern Optics · doi:10.1080/09500349414552171 · Cited by 1,911
The ‘transition probability’ in the state space of a—algebra
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An operational approach to quantum probability
Davies, E. B., & Lewis, J. T. (1970) · Communications in Mathematical Physics · doi:10.1007/bf01647093 · Cited by 888
The Private Classical Capacity and Quantum Capacity of a Quantum Channel
Devetak, I. (2005) · IEEE Transactions on Information Theory · doi:10.1109/tit.2004.839515 · Cited by 823
Self-citationA New Proof of the Quantum Noiseless Coding Theorem
Jozsa, R., & Schumacher, B. (1994) · Journal of Modern Optics · doi:10.1080/09500349414552191 · Cited by 304
Quantum-channel capacity of very noisy channels
DiVincenzo, D. P., Shor, P. W., & Smolin, J. A. (1998) · Physical Review A · doi:10.1103/physreva.57.830 · Cited by 297
Cited by
Horodecki, R., Horodecki, P., Horodecki, M., & Horodecki, K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.865 · Cited by 10,118
Advances in quantum cryptography
Pirandola, S., Andersen, U. L., Banchi, L., Berta, M., Bunandar, D., Colbeck, R., Englund, D., Gehring, T., Lupo, C., Ottaviani, C., et al. (2020) · Advances in Optics and Photonics · doi:10.1364/aop.361502 · Cited by 2,033
The classical-quantum boundary for correlations: Discord and related measures
Modi, K., Brodutch, A., Cable, H., Paterek, T., & Vedral, V. (2012) · Reviews of Modern Physics · doi:10.1103/revmodphys.84.1655 · Cited by 1,600
Secure quantum key distribution with realistic devices
Xu, F., Ma, X., Zhang, Q., Lo, H.-K., & Pan, J.-W. (2020) · Reviews of Modern Physics · doi:10.1103/revmodphys.92.025002 · Cited by 1,543
Device-independent security of quantum cryptography against collective attacks
Acín, A., Brunner, N., Gisin, N., Massar, S., Pironio, S., & Scarani, V. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.230501 · Cited by 1,537
Metadata
- Authors
- Devetak, I., & Winter, A.
- Venue
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- Publisher
- The Royal Society
- Published
- 2005-01-08
- Volume
- 461
- Issue
- 2053
- Pages
- 207-235
- ISSN
- 1364-5021 (ISSN-L)
- 1471-2946
- OpenAlex
- W2011008529
- Cited by
- 877
- References
- 7
- FWCI
- 12.54
- Type
- journal article
- Language
- en
- Open access
- green
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