The DOI matches its Crossref record.
Protecting Information: From Classical Error Correction to Quantum Cryptography
Abstract
For many everyday transmissions, it is essential to protect digital information from noise or eavesdropping. This undergraduate introduction to error correction and cryptography is unique in devoting several chapters to quantum cryptography and quantum computing, thus providing a context in which ideas from mathematics and physics meet. By covering such topics as Shor's quantum factoring algorithm, this text informs the reader about current thinking in quantum information theory and encourages an appreciation of the connections between mathematics and science.Of particular interest are the potential impacts of quantum physics:(i) a quantum computer, if built, could crack our currently used public-key cryptosystems; and (ii) quantum cryptography promises to provide an alternative to these cryptosystems, basing its security on the laws of nature rather than on computational complexity. No prior knowledge of quantum mechanics is assumed, but students should have a basic knowledge of complex numbers, vectors, and matrices.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Quantum Key Distribution schemes provide security levels to information transmission that are not based on mathematical conjectures but on properties of quantum mechanics.
“Quantum Key Distribution schemes provide security levels to information transmission that are not based on mathematical conjectures but instead on the properties of quantum mechanics20.”
From Quantum-resistance in blockchain networks (2023) · cites this paper as [20]
Citations
Cited by
Sorted by citations
Gühne, O., & Tóth, G. (2009) · Physics Reports · doi:10.1016/j.physrep.2009.02.004 · Cited by 2,401
Quantum walks: a comprehensive review
Venegas-Andraca, S. E. (2012) · Quantum Information Processing · doi:10.1007/s11128-012-0432-5 · Cited by 934
Quantum walks: a comprehensive reviewPreprint
Venegas-Andraca, S. E. (2012) · Cited by 533
Quantum-resistance in blockchain networks
Allende, M., León, D. L., Cerón, S., Pareja, A., Pacheco, E., Leal, A., Da Silva, M., Pardo, A., Jones, D., Worrall, D. J., et al. (2023) · Scientific Reports · doi:10.1038/s41598-023-32701-6 · Cited by 109
Statistics of photon-subtracted and photon-added states
Barnett, S. M., Ferenczi, G., Gilson, C. R., & Speirits, F. C. (2018) · Physical Review A · doi:10.1103/physreva.98.013809 · Cited by 88
Quantum Walks for Computer Scientists
Venegas-Andraca, S. E. (2008) · Synthesis lectures on quantum computing · doi:10.2200/s00144ed1v01y200808qmc001 · Cited by 67
Family of coherence measures and duality between quantum coherence and path distinguishability
Xiong, C., Kumar, A., & Wu, J. (2018) · Physical Review A · doi:10.1103/physreva.98.032324 · Cited by 53
A Modeling Framework for Studying Quantum Key Distribution System Implementation Nonidealities
Mailloux, L. O., Morris, J. D., Grimaila, M. R., Hodson, D. D., Jacques, D. R., Colombi, J. M., McLaughlin, C. V., & Holes, J. A. (2015) · IEEE Access · doi:10.1109/access.2015.2399101 · Cited by 47
Using Modeling and Simulation to Study Photon Number Splitting Attacks
Mailloux, L. O., Hodson, D. D., Grimaila, M. R., et al. (2016) · IEEE Access · doi:10.1109/access.2016.2555759 · Cited by 40
Performance Evaluations of Quantum Key Distribution System Architectures
Mailloux, L. O., Grimaila, M. R., Hodson, D. D., et al. (2015) · IEEE Security & Privacy · doi:10.1109/msp.2015.11 · Cited by 35
Geometric coherence and quantum state discrimination
Xiong, C., & Wu, J. (2018) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8121/aac979 · Cited by 34
Lu, L. (2024) · doi:10.1093/9780191884597.001.0001 · Cited by 18
Quantum Information Protocols for Cryptography
Abd-El-Atty, B., Venegas-Andraca, S. E., & El‐Latif, A. A. A. (2017) · Studies in big data · doi:10.1007/978-3-319-63639-9_1 · Cited by 17
Photon-added coherent states using the continuous-mode formalism
Francis, J., & Tame, M. (2020) · Physical Review A · doi:10.1103/physreva.102.043709 · Cited by 15
FPGA-Based Implementation of an Underwater Quantum Key Distribution System With BB84 Protocol
Kebapçı, B., Levent, V. E., Ergin, S., et al. (2023) · IEEE photonics journal · doi:10.1109/jphot.2023.3287493 · Cited by 14
Modeling decoy state Quantum Key Distribution systems
Mailloux, L. O., Engle, R., Grimaila, M. R., et al. (2015) · The Journal of Defense Modeling and Simulation Applications Methodology Technology · doi:10.1177/1548512915588572 · Cited by 14
A verifiable multi-party quantum key distribution protocol based on repetitive codes
Li, L., & Li, Z. (2021) · Information Sciences · doi:10.1016/j.ins.2021.11.019 · Cited by 13
A Quantum Technology-Based LiFi Security Using Quantum Key Distribution
Kumar, V. V., Niveditha, V. R., Muthukumaran, V., Kumar, S. S., Kumta, S. D., & Murugesan, R. (2021) · Advances in computational intelligence and robotics book series · doi:10.4018/978-1-7998-6870-5.ch007 · Cited by 13
Mailloux, L. O., Grimaila, M. R., Hodson, D. D., et al. (2017) · Applied Sciences · doi:10.3390/app7020212 · Cited by 8
Real-Time Implementation of an Underwater Quantum Key Distribution System
Kebapçı, B., Mutlu, G., Bağlıca, İ., et al. (2022) · Underwater Communications and Networking Conference (UComms) · doi:10.1109/ucomms56954.2022.9905688 · Cited by 8
Turek, Y., Islam, A., & Abliz, A. (2023) · The European Physical Journal Plus · doi:10.1140/epjp/s13360-023-03659-1 · Cited by 8
Challenges and Trends on Post-Quantum Cryptography
Das, K., & Sadhu, A. (2022) · Transactions on computer systems and networks · doi:10.1007/978-981-19-1585-7_12 · Cited by 5
Estimating coherence with respect to general quantum measurements
Xu, J., Zhang, L., & Fei, S.-M. (2022) · Quantum Information Processing · doi:10.1007/s11128-021-03393-6 · Cited by 4
Lu, L. (2024) · doi:10.1093/9780191884597.003.0002 · Cited by 3
Continuous variable-based quantum communication in the ocean
Meena, R., & Banerjee, S. (2025) · Quantum Information Processing · doi:10.1007/s11128-025-04664-2 · Cited by 3
Securing Encryption Key Distribution in WLAN via QKD
Djellab, R., & Benmohammed, M. (2012) · International Conference on Cyber-Enabled Distributed Computing and Knowledge Discovery (CyberC) · doi:10.1109/cyberc.2012.34 · Cited by 3
New scheme of integrating quantum key distribution in 802.11i
Djellab, R. (2009) · doi:10.1109/mmcs.2009.5256734 · Cited by 3
Do we have a quantum computer? Expert perspectives on current state and future prospects
Doyle, L., Seifollahi, F., & Singh, C. (2025) · Physical Review Physics Education Research · doi:10.1103/md6x-pfrr · Cited by 6
Design of Low Probability Detection Signal with Application to Physical Layer Security
Li, L., Lv, J., Ma, X., Han, Y., & Feng, J. (2023) · Electronics · doi:10.3390/electronics12051075 · Cited by 2
Doyle, L., Seifollahi, F., & Singh, C. (2025) · EPJ Quantum Technology · doi:10.1140/epjqt/s40507-025-00454-y · Cited by 6
Lu, L. (2024) · doi:10.1093/9780191884597.003.0003 · Cited by 1
Random qubit-states and how best to measure them
Barnett, S. M. (2009) · Journal of Modern Optics · doi:10.1080/09500340903082655 · Cited by 1
Fintech in Monetary and Payment Systems
Lu, L. (2024) · doi:10.1093/9780191884597.003.0007 · Cited by 1
Lu, L. (2024) · doi:10.1093/9780191884597.003.0001 · Cited by 1
Fintech in Banking Institutions
Lu, L. (2024) · doi:10.1093/9780191884597.003.0005 · Cited by 1
Hale, M., Hawkins, R., Jones, F., & Partridge, M. (1998) · The Economic History Review · doi:10.1111/1468-0289.00114 · Cited by 1
Hale, M., Hawkins, R., & Partridge, M. (1997) · The Economic History Review · doi:10.1111/1468-0289.00078
Hale, M., Hawkins, R., & Partridge, M. (2002) · The Economic History Review · doi:10.1111/1468-0289.00238
Hale, M., Hawkins, R., & Partridge, M. (2003) · The Economic History Review · doi:10.1111/j.1468-0289.2003.00269.x
Hale, M., Hawkins, R., & Partridge, M. (2004) · The Economic History Review · doi:10.1111/j.1468-0289.2004.00294.x
The Ontic Probability Interpretation of Quantum Theory – Part IIIPreprint
Alba-Juez, F. (2024) · Qeios · doi:10.32388/vlvfy8
Generalized Reed-Solomon codes over number fields and exact gradient coding
Irwansyah, I., Muchtadi-Alamsyah, I., Yuliawan, F., et al. (2024) · AIMS Mathematics · doi:10.3934/math.2024464
Lu, L. (2024) · doi:10.1093/9780191884597.002.0006
Lu, L. (2024) · doi:10.1093/9780191884597.002.0007
Lu, L. (2024) · doi:10.1093/9780191884597.003.0008
Lu, L. (2024) · doi:10.1093/9780191884597.003.0004
Lu, L. (2024) · doi:10.1093/9780191884597.002.0008
Lu, L. (2024) · doi:10.1093/9780191884597.002.0005
Lu, L. (2024) · doi:10.1093/9780191884597.002.0004
The Ontic Probability Interpretation of Quantum Theory – Part IIIPreprint
Alba-Juez, F. (2024) · Qeios · doi:10.32388/vlvfy8.2
An Inexpensive Optical Quantum-Key-Distribution Demo with Swiveled Cellophane Waveplates
Galvez, E. J. (2026) · Education Sciences · doi:10.3390/educsci16091408
Metadata
- Authors
- Loepp, S., & Wootters, W. K.
- Affiliations
- Williams College (US)
- ORCID
- Wootters, William K.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 2006-07-10
- OpenAlex
- W4239473350
- Cited by
- 47
- References
- 0
- Citations by year
- 2026: 1 · 2025: 3 · 2024: 17 · 2023: 4 · 2022: 3 · 2021: 2 · 2020: 1 · 2018: 3 · 2017: 2 · 2016: 1 · 2015: 3 · 2012: 3
- FWCI
- 0.56
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- Cambridge University Press eBooks (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Mathematics › Discrete Mathematics and Combinatorics › Coding theory and cryptography
- Keywords
- error correction, cryptography, quantum cryptography, quantum computing, Shor's algorithm, quantum factoring, public-key cryptosystems, quantum information, eavesdropping
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
