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Researchers have utilized Monte-Carlo simulations to estimate that there is roughly a 60% probability quantum computers capable of breaking Bitcoin's current encryption will emerge by 2050. While Shor's algorithm poses the primary threat to transaction signatures, Grover's algorithm presents only a marginal risk to proof-of-work mining due to cost scaling and hardware limitations. The study concludes that migrating to post-quantum cryptographic standards is technologically feasible now, with successful adoption depending entirely on coordinated governance rather than waiting for quantum hardware advancements.
Researchers Forecast 60% Probability of Quantum Threat to Bitcoin Spending

Recent advances indicate Bitcoin’s secp256k1 curve could be broken with fewer than half a million physical qubits. This finding compresses the timeline for potential cryptographic risk, despite the overall threat remaining bounded and manageable. Migration to post-quantum signatures is feasible, yet successful implementation hinges on coordinated governance rather than technological limitations.
Iosif M. Gershteyn and Jacob A. Alber have investigated the potential vulnerability of Bitcoin and Ethereum to quantum computing. Their work clarifies the distinct risks posed by Shor’s algorithm, targeting the elliptic-curve signatures authorising transactions, and Grover’s algorithm, presenting a limited challenge to proof-of-work mining due to inherent protections and escalating costs. Monte-Carlo forecasting estimates the probability of a cryptographically relevant quantum computer emerging as approximately one in six by 2035, rising to nearly 30% by 2040 and 60% by 2050. A proactive migration to post-quantum signatures represents a viable solution, with governance proving to be the key limiting factor rather than technological hurdles. Monte-Carlo forecasting underpinned the assessment…
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