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75 lines
3.0 KiB
TeX
75 lines
3.0 KiB
TeX
\section{Conclusion}
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Blockchain infrastructure faces a unique quantum threat due to the permanence of
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on-chain data, the static nature of validator keys, and the persistent economic value
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protected by cryptographic signatures. The harvest-now-decrypt-later attack model
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means the threat is active \emph{today}, not in some hypothetical future when quantum
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computers mature.
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The economic analysis is unambiguous: the cost of hybrid deployment is negligible
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relative to the value at risk. The game theory is clear: hybrid deployment is
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strictly dominant---it cannot reduce security and may be the difference between
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survival and catastrophic loss. The only losing strategy is to wait for certainty
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before acting.
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%% ========================================================================
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%% BIBLIOGRAPHY
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%% ========================================================================
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\begin{thebibliography}{20}
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\bibitem{shor1997}
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P.~W. Shor, ``Polynomial-Time Algorithms for Prime Factorization and Discrete
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Logarithms on a Quantum Computer,'' \emph{SIAM Journal on Computing}, vol.~26,
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no.~5, pp.~1484--1509, 1997.
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\bibitem{grover1996}
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L.~K. Grover, ``A Fast Quantum Mechanical Algorithm for Database Search,''
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\emph{Proceedings of the 28th Annual ACM Symposium on Theory of Computing},
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pp.~212--219, 1996.
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\bibitem{roetteler2017quantum}
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M. Roetteler, M. Naehrig, K.~M. Svore, and K. Lauter, ``Quantum Resource Estimates
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for Computing Elliptic Curve Discrete Logarithms,'' \emph{Advances in Cryptology --
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ASIACRYPT 2017}, pp.~241--270, Springer, 2017.
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\bibitem{gidney2021factor}
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C. Gidney and M. Eker\aa, ``How to Factor 2048 Bit RSA Integers in 8 Hours Using
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20 Million Noisy Qubits,'' \emph{Quantum}, vol.~5, p.~433, 2021.
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\bibitem{mosca2018}
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M.~Mosca, ``Cybersecurity in an Era with Quantum Computers: Will We Be Ready?''
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\emph{IEEE Security \& Privacy}, vol.~16, no.~5, pp.~38--41, 2018.
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\bibitem{fips203}
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NIST, ``Module-Lattice-Based Key-Encapsulation Mechanism Standard (FIPS 203),''
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National Institute of Standards and Technology, August 2024.
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\bibitem{fips204}
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NIST, ``Module-Lattice-Based Digital Signature Standard (FIPS 204),''
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National Institute of Standards and Technology, August 2024.
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\bibitem{fips205}
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NIST, ``Stateless Hash-Based Digital Signature Standard (FIPS 205),''
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National Institute of Standards and Technology, August 2024.
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\bibitem{boneh2001bls}
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D. Boneh, B. Lynn, and H. Shacham, ``Short Signatures from the Weil Pairing,''
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\emph{Journal of Cryptology}, vol.~17, no.~4, pp.~297--319, 2004.
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\bibitem{webber2022impact}
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S.~E. Webber, S. Patil, D. Linke, et al., ``The Impact of Hardware Specifications on
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Reaching Quantum Advantage in the Fault Tolerant Regime,'' \emph{AVS Quantum Science},
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vol.~4, no.~1, 2022.
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\bibitem{campbell2019}
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E.~T. Campbell, B.~M. Terhal, and C. Vuillot, ``Roads Towards Fault-Tolerant Universal
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Quantum Computation,'' \emph{Nature}, vol.~549, pp.~172--179, 2017.
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\bibitem{preskill2018}
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J. Preskill, ``Quantum Computing in the NISQ Era and Beyond,'' \emph{Quantum},
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vol.~2, p.~79, 2018.
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\end{thebibliography}
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