Cited by 231Blockchain Technology Applications and SecurityCryptography and Data SecurityQuantum Information and Cryptography

Quantum Attacks on Bitcoin, and How to Protect Against Them

Open access
Aggarwal, Divesh, Brennen, Gavin, Lee, Troy, Santha, Miklos, Tomamichel, Marco·2018·Ledger

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 is cryptocurrencies, a market currently worth over 100 billion USD. We investigate the risk posed to Bitcoin, and other cryptocurrencies, by attacks using 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.

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Integrity signals

Registry

Crossref · 10.5195/ledger.2018.127

Cites

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  • A 2017 study claimed quantum computers would be large and robust enough to break Bitcoin keys in 10 minutes by 2027.

    “Another study by researchers in Singapore, Australia, and France claimed in 2017 that quantum computers would be large and robust enough to break Bitcoin keys in 10 minutes by 202779.”

    From Quantum-resistance in blockchain networks (2023) · cites this paper as [79]

    The Introduction says that, by the authors’ most optimistic estimates, a quantum computer could break Bitcoin’s elliptic-curve signature scheme in less than 10 minutes as early as 2027. The citing sentence presents that conditional possibility as something that would happen. Our copy also identifies the paper as a 2018 publication, not a 2017 study. (LLM, conf=0.88)

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  • Quantum algorithms like Shor's could break in the future the log of elliptic curves public-key cryptography (ECDSA) or the large integer factorization problem (RSA) needed to generate a signature, which are the baseline of several crypto-protocols used in blockchains.

    “Quantum algorithms like Shor's, could break in the future the log of elliptic curves public-key cryptography (ECDSA) or the large integer factorization problem (RSA) needed to generate a signature, which are the baseline of several crypto-protocols used in blockchains (e.g. in bitcoin).”

    From Privacy-Preserving Solutions for Blockchain: Review and Challenges (2019) · cites this paper as [91]

    Split into 2 atoms — 0 confirmed, 2 partially supported, 0 disputed, 0 misattributed, 0 unverifiable. Expand the claim to see per-atom verdicts.

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  • With upcoming Quantum Computing, some proof-of-work algorithms and signatures are under risk.

    “With the upcoming Quantum Computing, some proof-ofwork algorithms and signatures are under risk [91].”
  • Mixing methods were introduced in 1981 to anonymize email usage and since then have been used to anonymize different services with multiple users.

    “To anonymize email usage, [126] introduced the mixing methods in 1981. Since then, these techniques are used to anonymize different services with multiple users.”

    From Privacy-Preserving Solutions for Blockchain: Review and Challenges (2019) · cites this paper as [126]

    Section 2 (Blockchain Basics) discusses Bitcoin transactions, and Section 3.2 discusses quantum attacks on Bitcoin addresses. Searches for mixing, anonymous email, and 1981 found no passage in our copy addressing the claimed history or later uses of mixing methods. (LLM, conf=0.77)

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Research works printed but not linked: 1

  1. IBM. "IBM Makes Quantum Computing Available on IBM Cloud to Accelerate Innovation." (Accessed 2 October 2018) https://www-03.ibm.com/press/us/en/pressrelease/49661.wss.

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Authors
Aggarwal, D., Brennen, G., Lee, T., Santha, M., & Tomamichel, M.
Affiliations
  • Centre for Quantum Technologies (SG)
  • Macquarie University (AU)
  • University of Technology Sydney (AU)
Venue
Ledger
Published
2018-10-17
Volume
3
ISSN
2379-5980 (ISSN-L)
OpenAlex
W2766522683
Cited by
231
References
57
Citations by year
2026: 34 · 2025: 28 · 2024: 10 · 2023: 25 · 2022: 25 · 2021: 32 · 2020: 41 · 2019: 21 · 2018: 14 · 2017: 1
FWCI
43.45
Type
journal article
Language
en
Open access
Locations
  • Ledger (publishedVersion, cc-by)
  • RePEc: Research Papers in Economics (submittedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
  • UTS ePRESS (University of Technology Sydney) (submittedVersion)
  • arXiv (Cornell University)
Funders
  • National Research Foundation (NRF-NRFF2013-13)
  • National Research Foundation Singapore (NRF-NRFF 2013-13, NRF RF Award No.~NRF-NRFF2013-13)
Topics
  • Physical Sciences › Computer Science › Information Systems › Blockchain Technology Applications and Security
  • Physical Sciences › Computer Science › Artificial Intelligence › Cryptography and Data Security
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
Keywords
quantum computing threats, Bitcoin, cryptocurrency, proof-of-work, quantum advantage, ECDSA, Shor's algorithm, post-quantum cryptography, blockchain security

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