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Entanglement as a Precondition for Secure Quantum Key Distribution
Open accessAbstract
We demonstrate that a necessary precondition for an unconditionally secure quantum key distribution is that both sender and receiver can use the available measurement results to prove the presence of entanglement in a quantum state that is effectively distributed between them. One can thus systematically search for entanglement using the class of entanglement witness operators that can be constructed from the observed data. We apply such analysis to two well-known quantum key distribution protocols, namely, the 4-state protocol and the 6-state protocol. As a special case, we show that, for some asymmetric error patterns, the presence of entanglement can be proven even for error rates above 25% (4-state protocol) and 33% (6-state protocol).
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Citations
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
Optimization of entanglement witnesses
Lewenstein, M., Kraus, B., Cirac, J. I., & Horodecki, P. (2000) · Physical Review A · doi:10.1103/physreva.62.052310 · Cited by 684
Self-citation
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
Quantum information with continuous variables
Braunstein, S. L., & van Loock, P. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.513 · Cited by 3,858
Gühne, O., & Tóth, G. (2009) · Physics Reports · doi:10.1016/j.physrep.2009.02.004 · Cited by 2,401
Decoy state quantum key distribution
Lo, H.-K., Ma, X., & Chen, K. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.230504 · Cited by 2,138
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
Metadata
- Authors
- Curty, M., Lewenstein, M., & Lütkenhaus, N.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2004-05-27
- Volume
- 92
- Issue
- 21
- Pages
- 217903-217903
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1965202859
- Cited by
- 330
- References
- 2
- FWCI
- 21.69
- Type
- journal article
- Language
- en
- Open access
- green
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