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Quantum attacks on Bitcoin, and how to protect against them (1710.10377v1)

Published 28 Oct 2017 in quant-ph and q-fin.GN

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.

Citations (131)

Summary

  • The paper identifies Bitcoin’s proof-of-work and ECDSA vulnerabilities to quantum computing, noting a critical risk window from 2027.
  • It demonstrates that current ASIC performance in PoW systems outperforms near-term quantum capabilities, delaying PoW threats.
  • The study proposes Momentum PoW and post-quantum signature schemes as effective countermeasures to enhance blockchain security.

Quantum Attacks on Bitcoin and Protective Measures

The paper "Quantum attacks on Bitcoin, and how to protect against them" provides an insightful analysis of the potential vulnerabilities of Bitcoin to quantum computing threats and proposes methods to mitigate such risks. The authors, Aggarwal et al., explore both the security of Bitcoin’s proof-of-work mechanism and the elliptic curve-based signature scheme, highlighting the differential impact of quantum computing advancements on these components.

Implications of Quantum Computing on Bitcoin

Bitcoin, as a decentralized digital currency, relies heavily on cryptographic protocols for security. The advent of sufficiently powerful quantum computers poses a profound threat to these cryptographic foundations. The paper identifies two crucial aspects of Bitcoin affected by quantum advances: the proof-of-work (PoW) system and the elliptic curve digital signature algorithm (ECDSA).

  1. Proof-of-Work Vulnerability:
    • The PoW mechanism in Bitcoin, which is currently resistant to quantum speedups, primarily due to the extensive efficiency of ASIC miners when compared to the slower projected capabilities of near-term quantum computers. The authors suggest that, for the next decade, quantum computers will not significantly outperform classical ASIC miners in solving Bitcoin’s hashing problem. Even with Grover's algorithm offering a theoretical quadratic speedup for hash-based PoWs, the physical constraints and current ASIC performance present tangible defensive layers against quantum attacks.
  2. Elliptic Curve Signature Scheme:
    • A larger concern highlighted is the ECDSA, which, unlike the PoW, is susceptible to Shor's algorithm. The risk here is that once a public key is published for a Bitcoin transaction, a sufficiently advanced quantum computer could derive the corresponding private key within the approximate processing window of a Bitcoin block (around 10 minutes). The paper suggests this vulnerability could manifest as early as 2027, representing a critical security challenge that necessitates proactive countermeasures.

Protective Measures and Alternatives

The researchers discuss the exploration of alternative algorithms to mitigate the looming threats posed by quantum advancements:

  • Momentum Proof-of-Work:
    • The Momentum PoW scheme, based on finding hash collisions, is discussed as a potential substitute that could resist quantum speedups better than current methods. This approach leverages the inherent memory-hard characteristics of Momentum, theoretically reducing quantum advantages, which is critical for sustaining network security against quantum mining attacks.
  • Post-Quantum Signature Schemes:
    • The paper also provides a review of various post-quantum cryptographic solutions aimed at replacing the vulnerable ECDSA. The authors focus on lattice-based and hash-based signature schemes, noting that these alternatives offer more robust defenses against quantum attacks due to their inherent computational complexity, which remains secure under current knowledge of quantum algorithms.

Theoretical and Practical Implications

The findings in this paper have nuanced implications on both theoretical models of cryptocurrency security and practical considerations for blockchain implementations. The recognition of potential quantum threats demands a shift towards developing quantum-resistant systems. Moreover, the timeline suggested by the authors calls for immediate attention to integrating post-quantum technologies into cryptocurrencies to ensure the long-term sustainability of these blockchain-based systems.

Future Outlook:

  • The future development of quantum computers will likely influence the landscape of cryptography significantly. The research highlights an imminent need to transition to quantum-resistant cryptographic protocols, a movement that will require coordinated efforts between researchers, developers, and stakeholders in the blockchain community. As the practical realization of quantum computers progresses, so too must the evolution of blockchain technologies to maintain the integrity and security of digital financial systems.

In conclusion, the paper offers a comprehensive analysis of the risks quantum computing poses to Bitcoin and suggests viable counterstrategies that could be adapted to safeguard against these emerging threats, marking an essential consideration for the ongoing development of secure blockchain technologies.

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