The DOI matches its Crossref record; 19 of the 19 references it cites were found in a registry or an index.
Secure Key from Bound Entanglement
Open accessAbstract
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.
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Cites
Quantum cryptography based on Bell’s theorem
Ekert, A. K. (1991) · Physical Review Letters · doi:10.1103/physrevlett.67.661 · Cited by 10,777
Mixed-state entanglement and quantum error correction
Bennett, C. H., DiVincenzo, D. P., Smolin, J. A., & Wootters, W. K. (1996) · Physical Review A · doi:10.1103/physreva.54.3824 · Cited by 5,272
Computable measure of entanglement
Vidal, G., & Werner, R. F. (2002) · Physical Review A · doi:10.1103/physreva.65.032314 · Cited by 4,896
Simple Proof of Security of the BB84 Quantum Key Distribution Protocol
Shor, P. W., & Preskill, J. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.441 · Cited by 3,047
Quantum cryptography using any two nonorthogonal states
Bennett, C. H. (1992) · Physical Review Letters · doi:10.1103/physrevlett.68.3121 · Cited by 3,028
Entanglement measures and purification procedures
Vedral, V., & Plenio, M. B. (1998) · Physical Review A · doi:10.1103/physreva.57.1619 · Cited by 1,419
Quantum Privacy Amplification and the Security of Quantum Cryptography over Noisy Channels
Deutsch, D., Ekert, A., Jozsa, R., Macchiavello, C., Popescu, S., & Sanpera, A. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.2818 · Cited by 1,268
Mixed-state entanglement and distillation: Is there a ‘bound’ entanglement in nature?
Horodecki, M., Horodecki, P., & Horodecki, R. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.5239 · Cited by 1,208
Self-citationBennett, C. H., Brassard, G., Popescu, S., Schumacher, B. W., Smolin, J. A., & Wootters, W. K. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.2031 · Cited by 340
Advances in Cryptology — EUROCRYPT 2003
(2003) · Lecture Notes in Computer Science · doi:10.1007/3-540-39200-9 · Cited by 241
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
Self-citationGühne, O., & Tóth, G. (2009) · Physics Reports · doi:10.1016/j.physrep.2009.02.004 · Cited by 2,401
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
Fundamental limits of repeaterless quantum communications
Pirandola, S., Laurenza, R., Ottaviani, C., & Banchi, L. (2017) · Nature Communications · doi:10.1038/ncomms15043 · Cited by 1,374
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
Metadata
- Authors
- Horodecki, K., Horodecki, M., Horodecki, P., & Oppenheim, J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2005-04-26
- Volume
- 94
- Issue
- 16
- Pages
- 160502-160502
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2015132296
- Cited by
- 340
- References
- 19
- FWCI
- 17.18
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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