Intercept-resend attack on six-state quantum key distribution over collective-rotation noise channels
Open accessAbstract
We investigate the effect of collective-rotation noise on the security of the six-state quantum key distribution. We study the case where the eavesdropper, Eve, performs an intercept-resend attack on the quantum communication between Alice, the sender, and Bob, the receiver. We first derive the collective-rotation noise model for the six-state protocol and then parameterize the mutual information between Alice and Eve. We then derive quantum bit error rate for three intercept-resend attack scenarios. We observe that the six-state protocol is robust against intercept-resend attacks on collective rotation noise channels when the rotation angle is kept within certain bounds.
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Quantum technologies can provide secure transmission of medical data, ensuring privacy and confidentiality.
“QTs can provide secure transmission of medical data, ensuring privacy (Senekane et al., 2017; Senekane, 2019) and confidentiality (Garapo et al., 2016; Mafu and Senekane, 2018).”
From Quantum technology for development framework as a tool for science diplomacy (2023) · cites this paper as Garapo et al., 2016
Cites
Quantum computation and quantum information
Law, J. (2001) · ACM SIGSOFT Software Engineering Notes · doi:10.1145/505482.505499 · Cited by 20,449 · see citing works
New directions in cryptography
Diffie, W., & Hellman, M. (1976) · IEEE Transactions on Information Theory · doi:10.1109/tit.1976.1055638 · Cited by 14,713 · see citing works
A method for obtaining digital signatures and public-key cryptosystems
Rivest, R. L., Shamir, A., & Adleman, L. (1978) · Communications of the ACM · doi:10.1145/359340.359342 · Cited by 13,462 · 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
Gisin, N., Ribordy, G., Tittel, W., & Zbinden, H. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.145 · Cited by 8,515 · see citing works
Quantum cryptography: Public key distribution and coin tossing
Bennett, C. H., & Brassard, G. (2014) · Theoretical Computer Science · doi:10.1016/j.tcs.2014.05.025 · Cited by 8,299 · see citing works
A single quantum cannot be cloned
Wootters, W. K., & Zurek, W. H. (1982) · Nature · doi:10.1038/299802a0 · Cited by 5,406 · see citing works
�ber den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik
Heisenberg, W. (1927) · Zeitschrift f�r Physik · doi:10.1007/bf01397280 · Cited by 4,278 · see citing works
The security of practical quantum key distribution
Scarani, V., Bechmann-Pasquinucci, H., Cerf, N. J., Dušek, M., Lütkenhaus, N., & Peev, M. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.1301 · Cited by 3,736 · see citing works
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 · see citing works
Quantum cryptography using any two nonorthogonal states
Bennett, C. H. (1992) · Physical Review Letters · doi:10.1103/physrevlett.68.3121 · Cited by 3,017 · see citing works
Decoy State Quantum Key Distribution
Lo, H., Ma, X., & Chen, K. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.230504 · Cited by 2,343 · see citing works
‘‘Event-ready-detectors’’ Bell experiment via entanglement swapping
Żukowski, M., Zeilinger, A., Horne, M. A., & Ekert, A. K. (1993) · Physical Review Letters · doi:10.1103/physrevlett.71.4287 · Cited by 2,045 · see citing works
Field test of quantum key distribution in the Tokyo QKD Network
Sasaki, M., Fujiwara, M., Ishizuka, H., Klaus, W., Wakui, K., Takeoka, M., Miki, S., Yamashita, T., Wang, Z., Tanaka, A., et al. (2011) · Optics Express · doi:10.1364/oe.19.010387 · Cited by 1,172 · see citing works
SECURITY OF QUANTUM KEY DISTRIBUTION
Renner, R. (2008) · International Journal of Quantum Information · doi:10.1142/s0219749908003256 · Cited by 1,160 · see citing works
Practical decoy state for quantum key distribution
Ma, X., Qi, B., Zhao, Y. B., & Lo, H. (2005) · Physical Review A · doi:10.1103/physreva.72.012326 · Cited by 1,140 · see citing works
Distillation of secret key and entanglement from quantum states
Devetak, I., & Winter, A. (2004) · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rspa.2004.1372 · Cited by 1,003 · see citing works
Optimal Eavesdropping in Quantum Cryptography with Six States
Bruß, D. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.3018 · Cited by 869 · see citing works
Scarani, V., Acín, A., Ribordy, G., & Gisin, N. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.057901 · Cited by 812 · see citing works
Information-theoretic security proof for quantum-key-distribution protocols
Renner, R., Gisin, N., & Kraus, B. (2005) · Physical Review A · doi:10.1103/physreva.72.012332 · Cited by 521 · see citing works
Heisenberg's uncertainty principle
Busch, P., Heinonen, T., & LAHTI, P. J. (2007) · Physics Reports · doi:10.1016/j.physrep.2007.05.006 · Cited by 511 · see citing works
Optimal Eavesdropping in Cryptography with Three-Dimensional Quantum States
Bruß, D., & Macchiavello, C. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.127901 · Cited by 439 · see citing works
Efficient quantum key distribution over a collective noise channel
Li, X., Deng, F., & Zhou, H.-Y. (2008) · Physical Review A · doi:10.1103/physreva.78.022321 · Cited by 387 · see citing works
Experimental Quantum Key Distribution with Decoy States
Zhao, Y., Qi, B., Ma, X., Lo, H., & Qian, L. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.070502 · Cited by 382 · see citing works
Long-term performance of the SwissQuantum quantum key distribution network in a field environment
Stucki, D., Legré, M., Buntschu, F., Clausen, B., Felber, N., Gisin, N., Henzen, L., Junod, P., Litzistorf, G., Monbaron, P., et al. (2011) · New Journal of Physics · doi:10.1088/1367-2630/13/12/123001 · Cited by 381 · see citing works
Proof of security of quantum key distribution with two-way classical communications
Gottesman, D., & Lo, H. (2003) · IEEE Transactions on Information Theory · doi:10.1109/tit.2002.807289 · Cited by 374 · see citing works
Incoherent and coherent eavesdropping in the six-state protocol of quantum cryptography
Bechmann-Pasquinucci, H., & Gisin, N. (1999) · Physical Review A · doi:10.1103/physreva.59.4238 · Cited by 371 · see citing works
Scarani, V., & Renner, R. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.200501 · Cited by 356 · see citing works
Kraus, B., Gisin, N., & Renner, R. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.080501 · Cited by 300 · see citing works
Quantum key distribution using multilevel encoding
Bourennane, M., Karlsson, A., & Bjork, G. G. (2001) · Physical Review A · doi:10.1103/physreva.64.012306 · Cited by 285 · see citing works
Quantum key distribution over a 48 km optical fibre network
Hughes, R., Morgan, G. L., & Peterson, C. G. (2000) · Journal of Modern Optics · doi:10.1080/09500340008244058 · Cited by 188 · see citing works
Finite-key analysis for practical implementations of quantum key distribution
Cai, R. Y. Q., & Scarani, V. (2009) · New Journal of Physics · doi:10.1088/1367-2630/11/4/045024 · Cited by 168 · see citing works
Unconditionally Secure Key Distribution Based on Two Nonorthogonal States
Tamaki, K., Koashi, M., & Imoto, N. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.167904 · Cited by 162 · see citing works
Proof of unconditional security of six-state quantum key distribution scheme
Lo, H. (2001) · Quantum Information and Computation · doi:10.26421/qic1.2-4 · Cited by 112 · see citing works
Unconditional Security of a Three State Quantum Key Distribution Protocol
Boileau, J.-C., Tamaki, K., Batuwantudawe, J., Laflamme, R., & Renes, J. M. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.040503 · Cited by 84 · see citing works
Namekata, N., Takesue, H., Honjo, T., Tokura, Y., & Inoue, S. (2011) · Optics Express · doi:10.1364/oe.19.010632 · Cited by 84 · see citing works
Tamaki, K., & Lütkenhaus, N. (2004) · Physical Review A · doi:10.1103/physreva.69.032316 · Cited by 76 · see citing works
Three-state quantum cryptography
Phoenix, S. J. D., Barnett, S. M., & Chefles, A. (2000) · Journal of Modern Optics · doi:10.1080/09500340008244056 · Cited by 73 · see citing works
Fault tolerant quantum key distribution protocol with collective random unitary noise
Wang, X. (2005) · Physical Review A · doi:10.1103/physreva.72.050304 · Cited by 69 · see citing works
Improved QSDC Protocol over a Collective-Dephasing Noise Channel
Yang, C., & Hwang, T. (2012) · International Journal of Theoretical Physics · doi:10.1007/s10773-012-1286-4 · Cited by 63 · see citing works
Deterministic secure quantum communication over a collective-noise channel
Gu, B., Pei, S., Song, B., & Zhong, K. (2009) · Science in China. Series G, Physics, mechanics & astronomy/Science in China. Series G, Physics, Mechanics & Astronomy · doi:10.1007/s11433-009-0303-y · Cited by 62 · see citing works
Realizing long-term quantum cryptography
Mirza, A., & Petruccione, F. (2010) · Journal of the Optical Society of America B · doi:10.1364/josab.27.00a185 · Cited by 53 · see citing works
Self-citationCurty, M., & Lütkenhaus, N. (2005) · Physical Review A · doi:10.1103/physreva.71.062301 · Cited by 45 · see citing works
Quantum key distribution protocols with six-photon states against collective noise
Xiu, X., Dong, L., Gao, Y., & Chi, F. (2009) · Optics Communications · doi:10.1016/j.optcom.2009.07.012 · Cited by 40 · see citing works
Dong, L., Xiu, X., Gao, Y., & Chi, F. (2009) · Optics Communications · doi:10.1016/j.optcom.2009.01.005 · Cited by 26 · see citing works
Tamaki, K., Koashi, M., & Imoto, N. (2003) · Physical Review A · doi:10.1103/physreva.67.032310 · Cited by 24 · see citing works
OPTIMAL EAVESDROPPING ON NOISY STATES IN QUANTUM KEY DISTRIBUTION
SHADMAN, Z., KAMPERMANN, H., MEYER, T., & BRUß, D. (2009) · International Journal of Quantum Information · doi:10.1142/s0219749909004554 · Cited by 20 · see citing works
Quantum key distribution with finite resources: Taking advantage of quantum noise
Mertz, M., Kampermann, H., Shadman, Z., & Bruß, D. (2013) · Physical Review A · doi:10.1103/physreva.87.042312 · Cited by 13 · see citing works
Six-State Symmetric Quantum Key Distribution Protocol
Senekane, M., Mafu, M., & Petruccione, F. (2015) · Journal of Quantum Information Science · doi:10.4236/jqis.2015.52005 · Cited by 11 · see citing works
Self-citationFinite-key-size security of the Phoenix-Barnett-Chefles 2000 quantum-key-distribution protocol
Mafu, M., Garapo, K., & Petruccione, F. (2014) · Physical Review A · doi:10.1103/physreva.90.032308 · Cited by 11 · see citing works
Self-citationSecurity analysis of BB84 protocol in the collective-rotation noise channel
Li, J., Chen, Y., Pan, Z., Feng-qi, S., Na, L., & Li, L. (2016) · Acta Physica Sinica · doi:10.7498/aps.65.030302 · Cited by 8 · see citing works
The Security Analysis of Quantum SAGR04 Protocol in Collective‐Rotation Noise Channel
Li, J., Pan, Z., Zheng, J., Sun, F., Ye, X., & Yuan, K. (2015) · Chinese Journal of Electronics · doi:10.1049/cje.2015.10.005 · Cited by 7 · see citing works
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- Authors
- Garapo, K., Mafu, M., & Petruccione, F.
- Affiliations
- University of KwaZulu-Natal (ZA)
- Botswana International University of Science and Technology (BW)
- National Institute for Theoretical Physics (ZA)
- Venue
- Chinese Physics B
- Publisher
- IOP Publishing
- Published
- 2016-07
- Volume
- 25
- Issue
- 7
- Pages
- 070303
- ISSN
- 1674-1056 (ISSN-L)
- OpenAlex
- W2466824273
- Cited by
- 15
- References
- 53
- Citations by year
- 2026: 2 · 2025: 3 · 2024: 3 · 2023: 1 · 2022: 2 · 2021: 1 · 2020: 1 · 2019: 1 · 2017: 1
- FWCI
- 0.55
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Chinese Physics B (publishedVersion)
- Funders
- National Research Foundation
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Wireless Communication Security Techniques
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Keywords
- six-state protocol, quantum key distribution, intercept-resend attack, collective rotation noise, eavesdropping, mutual information, quantum bit error rate, security analysis
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