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arXiv:1710.10377quant-ph

Quantum attacks on Bitcoin, and how to protect against them

Divesh Aggarwal, Gavin K. Brennen, Troy Lee, Miklos Santha, Marco Tomamichel

Abstract

The key cryptographic protocols used to secure the internet and financial transactions of today are all susceptible to attack by the development of a sufficiently large quantum computer. One particular area at risk are cryptocurrencies, a market currently worth over 150 billion USD. We investigate the risk of Bitcoin, and other cryptocurrencies, to attacks by quantum computers. We find that the proof-of-work used by Bitcoin is relatively resistant to substantial speedup by quantum computers in the next 10 years, mainly because specialized ASIC miners are extremely fast compared to the estimated clock speed of near-term quantum computers. On the other hand, the elliptic curve signature scheme used by Bitcoin is much more at risk, and could be completely broken by a quantum computer as early as 2027, by the most optimistic estimates. We analyze an alternative proof-of-work called Momentum, based on finding collisions in a hash function, that is even more resistant to speedup by a quantum computer. We also review the available post-quantum signature schemes to see which one would best meet the security and efficiency requirements of blockchain applications.

arXiv comments
21 pages, 6 figures. For a rough update on the progress of Quantum devices and prognostications on time from now to break Digital signatures, see https://www.quantumcryptopocalypse.com/quantum-moores-law/
Journal reference
Ledger, [S.l.], v. 3, oct. 2018
DOI
doi:10.5195/ledger.2018.127
Subjects
quant-phQuantum Physics q-fin.GNGeneral Finance

On Hacker News

Linked by 4 identifiable commenters in 6 comments across 6 threads, from Nov 2017 to Jun 2018. Found in 3 HN submissions from Nov 2017 to Jul 2019. Open submission discussions.

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Discussed in comments6 threads

    • See this recent survey article: https://arxiv.org/abs/1710.10377 Briefly, a fully fault-tolerant quantum computer could give a square-root speedup for Bitcoin's proof-of-work, and could completely break its elliptic-curve-based signature scheme. Both issues could in principle be…

      ScottAaronsonView on HNParent context

    • Considering the original paper's[1] name "Quantum attacks on Bitcoin, and how to protect against them" I wouldn't call this clickbait. [1]: https://arxiv.org/abs/1710.10377

      coldacidView on HNParent context

    • This paper lists a few of the practical concerns for quantum-resistant algos (and proposes an algo that wasn't submitted to NIST Post-Quantum Cryptography Round 1): "Quantum attacks on Bitcoin, and how to protect against them" https://arxiv.org/abs/1710.10377 (~2027?) A few…

      westurnerView on HNParent context

    • "Quantum attacks on Bitcoin, and how to protect against them (ECDSA, SHA256)" https://www.arxiv-vanity.com/papers/1710.10377/ > […] On the other hand, the elliptic curve signature scheme used by Bitcoin is much more at risk, and could be completely broken by a quantum computer…

      westurnerView on HNParent context

    • There will be around 18M bitcoins in 2020. [1][2] [1] https://en.bitcoin.it/wiki/Controlled_supply [2] https://bashco.github.io/ This paper [3] suggests we'll be needing to upgrade to quantum-secure hash functions instead of ECDSA before 2027. [3] "Quantum attacks on Bitcoin…

      westurnerView on HNParent context

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