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Quantum Cryptography with Finite Resources: Unconditional Security Bound for Discrete-Variable Protocols with One-Way Postprocessing
Open accessAbstract
We derive a bound for the security of quantum key distribution with finite resources under one-way postprocessing, based on a definition of security that is composable and has an operational meaning. While our proof relies on the assumption of collective attacks, unconditional security follows immediately for standard protocols such as Bennett-Brassard 1984 and six-states protocol. For single-qubit implementations of such protocols, we find that the secret key rate becomes positive when at least N approximately 10(5) signals are exchanged and processed. For any other discrete-variable protocol, unconditional security can be obtained using the exponential de Finetti theorem, but the additional overhead leads to very pessimistic estimates.
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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
Gisin, N., Ribordy, G., Tittel, W., & Zbinden, H. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.145 · Cited by 8,515
New hash functions and their use in authentication and set equality
Wegman, M. N., & Carter, J. L. (1981) · Journal of Computer and System Sciences · doi:10.1016/0022-0000(81)90033-7 · Cited by 1,402
Cited by
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
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
Fröhlich, B., Dynes, J. F., Lucamarini, M., Sharpe, A. W., Yuan, Z., & Shields, A. J. (2013) · Nature · doi:10.1038/nature12493 · Cited by 337
“Security of quantum key distribution protocols,”
Mafu, M., & Senekane, M. (2018) · Advanced Technologies of Quantum Key Distribution · doi:10.5772/intechopen.74234 · Cited by 20
Garapo, K., Mafu, M., & Petruccione, F. (2016) · Chinese Physics B · doi:10.1088/1674-1056/25/7/070303 · Cited by 15
Metadata
- Authors
- Scarani, V., & Renner, R.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2008-05-22
- Volume
- 100
- Issue
- 20
- Pages
- 200501-200501
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1997012753
- Cited by
- 357
- References
- 3
- FWCI
- 31.27
- Type
- journal article
- Language
- en
- Open access
- green
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- Scarani, V., & Renner, R. (2008). Quantum Cryptography with Finite Resources: Unconditional Security Bound for Discrete-Variable Protocols with One-Way Postprocessing. Physical Review Letters. https://doi.org/10.1103/physrevlett.100.200501
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