From Bell’s Theorem to Secure Quantum Key Distribution
Open accessAbstract
The first step in any quantum key distribution (QKD) protocol consists of sequences of measurements that produce correlated classical data. We show that these correlation data must violate some Bell inequality in order to contain distillable secrecy, if not they could be produced by quantum measurements performed on a separable state of larger dimension. We introduce a new QKD protocol and prove its security against any individual attack by an adversary only limited by the no-signaling condition.
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In QKD, secure keys can be generated even when the experimental devices are not fully trusted or characterised.
“In QKD, secure keys can be generated even when the experimental devices are not fully trusted or characterised. 51,52”
From Quantum random number generation (2016) · cites this paper as [52]
The paper’s conclusion (p. 4) says its CHSH-based QKD protocol is secure without assumptions about Alice’s and Bob’s Hilbert-space dimensions, supporting the claim that full device characterisation is unnecessary. But the proof covers individual nonsignaling attacks and requires Bell-inequality-violating data; it does not establish security for untrusted devices without those conditions. (LLM, conf=0.86)
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Cites
On the Einstein Podolsky Rosen paradox
Bell, J. S. (1964) · Physics Physique Fizika · doi:10.1103/physicsphysiquefizika.1.195 · Cited by 12,252 · see citing works
Quantum cryptography based on Bell’s theorem
Ekert, A. K. (1991) · Physical Review Letters · doi:10.1103/physrevlett.67.661 · Cited by 10,777 · see citing works
Proposed Experiment to Test Local Hidden-Variable Theories
Clauser, J. F., Horne, M. A., Shimony, A., & Holt, R. A. (1969) · Physical Review Letters · doi:10.1103/physrevlett.23.880 · Cited by 7,573 · see citing works
Broadcast channels with confidential messages
Csiszár, I., & Körner, J. (1978) · IEEE Transactions on Information Theory · doi:10.1109/tit.1978.1055892 · Cited by 3,371 · see citing works
Quantum cryptography without Bell’s theorem
Bennett, C. H., Gilles Brassard, A., & Mermin, N. D. (1992) · Physical Review Letters · doi:10.1103/physrevlett.68.557 · Cited by 2,456 · see citing works
Secret key agreement by public discussion from common information
Maurer, U. M. (1993) · IEEE Transactions on Information Theory · doi:10.1109/18.256484 · Cited by 1,971 · see citing works
Quantum nonlocality as an axiom
Popescu, S., & Rohrlich, D. (1994) · Foundations of Physics · doi:10.1007/bf02058098 · Cited by 1,562 · see citing works
No Signaling and Quantum Key Distribution
Barrett, J., Hardy, L., & Kent, A. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.010503 · Cited by 892 · see citing works
Nonlocal correlations as an information-theoretic resource
Barrett, J., Linden, N., Massar, S., Pironio, S., Popescu, S., & Roberts, D. (2005) · Physical Review A · doi:10.1103/physreva.71.022101 · Cited by 602 · see citing works
General properties of nonsignaling theories
Masanes, L., Acín, A., & Gisin, N. (2006) · Physical Review A · doi:10.1103/physreva.73.012112 · Cited by 392 · see citing works
Self-citationKraus, B., Gisin, N., & Renner, R. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.080501 · Cited by 300 · see citing works
Self-citationUnconditionally secure key agreement and the intrinsic conditional information
Maurer, U. M., & Wolf, S. (1999) · IEEE Transactions on Information Theory · doi:10.1109/18.748999 · Cited by 279 · see citing works
Popescu-Rohrlich Correlations as a Unit of Nonlocality
Barrett, J., & Pironio, S. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.140401 · Cited by 177 · see citing works
Simulating Maximal Quantum Entanglement without Communication
Cerf, N. J., Gisin, N., Massar, S., & Popescu, S. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.220403 · Cited by 144 · see citing works
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Research works printed but not linked: 6
- [10]C. H. Bennett and G. Brassard, Proc. IEEE Int. Conf. Computers, Systems and Signal Processing, New York, 175 (1984).
- [13]I. Csisz´ ar and J. K¨ orner, IEEE Trans. Inf. Theory, 24 , 339 (1978).
- [14]U. Maurer and S. Wolf, IEEE Trans. Inf. Theory, 45 , 499 (1999).
- [15]R. Renner and S. Wolf, in Proc. EUROCRYPT 2003, Lect. Notes in Comp. Science (Springer-Verlag, Berlin, 2003).
- [16]U. M. Maurer, IEEE Trans. Inf. Theory 39 , 733 (1993).
- [18]N. Gisin and S. Wolf, Proc. CRYPTO 2000, Lect. Notes in Comp. Science 1880 , 482 (2000) .
Cited by
Sorted by citations
Gühne, O., & Tóth, G. (2009) · Physics Reports · doi:10.1016/j.physrep.2009.02.004 · Cited by 2,401 · see citing works
Quantum random number generation
Ma, X., Yuan, X., Cao, Z., Qi, B., & Zhang, Z. (2016) · npj Quantum Information · doi:10.1038/npjqi.2016.21 · Cited by 445 · see citing works
A device-independent quantum key distribution system for distant users
Zhang, W., van Leent, T., Redeker, K., Garthoff, R., Schwonnek, R., Fertig, F., Eppelt, S., Rosenfeld, W., Scarani, V., Lim, C. C.-W., et al. (2022) · Nature · doi:10.1038/s41586-022-04891-y · Cited by 303 · see citing works
Bilocal versus nonbilocal correlations in entanglement-swapping experiments
Branciard, C., Rosset, D., Gisin, N., & Pironio, S. (2012) · Physical Review A · doi:10.1103/physreva.85.032119 · Cited by 258 · see citing works
Self-citationQuantum Theory: Informational Foundations and Foils
(2016) · Fundamental Theories of Physics · doi:10.1007/978-94-017-7303-4 · Cited by 178 · see citing works
Security of practical private randomness generation
Pironio, S., & Massar, S. (2013) · Physical Review A · doi:10.1103/physreva.87.012336 · Cited by 169 · see citing works
“…(DI) is not restricted to randomness generation but includes adversarial applications such as quantum key distribution (QKD) [15, 16, 11, 17, 18] and coin tossing [19], and non-adversarial ones such as state estimation [20], entanglement witnesses [21], and self-testing of quantum…”
BackgroundKaniewski, J. (2016) · Physical Review Letters · doi:10.1103/physrevlett.117.070402 · Cited by 144 · see citing works
Assessing Quantum Dimensionality from Observable Dynamics
Wolf, M. M., & Perez-Garcia, D. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.190504 · Cited by 43 · see citing works
All entangled states display some hidden nonlocality
Liang, Y.-C., Masanes, L., & Rosset, D. (2012) · Physical Review A · doi:10.1103/physreva.86.052115 · Cited by 40 · see citing works
Self-citationRandomness requirement on the Clauser-Horne-Shimony-Holt Bell test in the multiple-run scenario
Yuan, X., Cao, Z., & Ma, X. (2015) · Physical Review A · doi:10.1103/physreva.91.032111 · Cited by 25 · see citing works
- Authors
- Acín, A., Gisin, N., & Masanes, L.
- Affiliations
- Institute of Photonic Sciences (ES)
- University of Geneva (CH)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2006-09-20
- Volume
- 97
- Issue
- 12
- Pages
- 120405-120405
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2000985364
- Cited by
- 709
- References
- 14
- Citations by year
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- FWCI
- 26.21
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- UCL Discovery (University College London) (submittedVersion)
- Archive ouverte UNIGE (University of Geneva) (submittedVersion, other-oa)
- Archive ouverte UNIGE (University of Geneva) (submittedVersion, cc-by)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Wireless Communication Security Techniques
- Keywords
- quantum key distribution, Bell's theorem, Bell inequalities, no-signaling, separable states, individual attacks, security proofs
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