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Home » Quantum Threat to Bitcoin: Shor’s Algorithm Looms

Quantum Threat to Bitcoin: Shor’s Algorithm Looms

Joshua Mwenyi by Joshua Mwenyi
July 18, 2025
Quantum Threat to Bitcoin: Shor’s Algorithm Looms
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Bitcoin’s security is built on elliptic-curve cryptography (ECC), a system that has protected wallet addresses and transaction signatures since its inception. However, the quantum computing threat is starting to look less theoretical. With the rise of Shor’s algorithm, quantum computers may soon have the ability to break this math—potentially compromising billions in crypto.

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Post-Quantum Fears and Industry Readiness

A recent industry report warns that RSA and ECC, both core cryptographic systems, could be cracked within the next decade. These methods also secure most crypto wallets and blockchain signatures. While roughly 70% of major companies are preparing for post-quantum cryptography (PQC), only a small percentage are fully ready. Alarmingly, just 2% of cybersecurity budgets are allocated to this transition.

One of the greatest risks is the so-called “harvest-now, decrypt-later” tactic—where hackers collect encrypted blockchain data now and wait for quantum computers to decrypt it. Over a quarter of all Bitcoin coins have revealed public keys through past transactions. If Q‑Day arrives—when quantum machines can solve the discrete logarithm problem—those funds could be stolen instantly. Developers are now proposing freezing legacy wallets and encouraging quantum-safe formats to minimize exposure.

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The Math That’s at Risk

Bitcoin’s security hinges on the difficulty of solving the discrete logarithm problem, which protects wallets under ECC. While this has held firm against classical computing, quantum machines using Shor’s algorithm pose a direct threat. ECC and RSA would fall instantly if a powerful enough quantum computer emerges—potentially by 2030 given current progress in error correction and hardware.

Governments are already responding. Agencies like the NSA plan to phase out ECC and RSA by 2035, and cloud providers are beginning to adopt PQC standards. Yet, no major blockchain—including Bitcoin—has implemented these protections. The risk remains imminent if quantum-powered attacks arrive before blockchains prepare.

Preparing for Q‑Day

To defend against tomorrow’s threats, both institutional and crypto communities must act now. The path forward includes:

  1. Building encryption systems that can be updated.
  2. Mapping all exposed public keys.
  3. Testing PQC algorithms in production.
  4. Coordinating migrations across platforms and users.

On-chain, developers must guide users away from legacy address types and secure dormant funds before Q‑Day arrives. Though quantum attacks remain hypothetical, the timeline is tightening. Bitcoin’s mathematical foundations need shoring up before they come under assault.

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For further insights, explore these related pieces:

  • A showcase of the Samsung Galaxy S25 Edge setting a new standard in slim smartphones
  • An in-depth report on magic state distillation in quantum computing
  • A detailed analysis of Bitcoin’s quantum challenge and its implications
  • Samsung Galaxy S25 Edge deep dive: https://www.bizmoarena.com/2270/samsung-galaxy-s25-edge-sets-slim-phone-standard/
  • Magic state distillation overview: https://www.bizmoarena.com/2627/magic-state-distillation/
  • Coindesk on Bitcoin and quantum risk: https://www.coindesk.com/markets/2025/07/18/bitcoin-traders-are-discussing-btcs-record-high-but-quantum-computing-is-threatening-the-math-behind-it
Tags: Bitcoin securityelliptic-curve cryptographypost-quantum cryptographyquantum computing threatShor’s algorithm
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Joshua Mwenyi

Joshua Mwenyi

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