https://jamesm.blog/tags/quantum-computing/ Recent content in Quantum Computing on jamesm.blog https://jamesm.blog/papermod-cover.png https://jamesm.blog/papermod-cover.png Hugo en Sat, 04 Apr 2026 14:00:00 +0000 https://jamesm.blog/blockchain/quantum-threat/ Sat, 04 Apr 2026 14:00:00 +0000 https://jamesm.blog/blockchain/quantum-threat/ <h2 id="overview">Overview</h2> <p>Quantum computing represents one of the most significant theoretical threats to modern cryptography. For Bitcoin, the primary concern lies in the potential for quantum computers to run <strong>Shor&rsquo;s Algorithm</strong>, which could efficiently solve the discrete logarithm problem that secures Bitcoin&rsquo;s public-key cryptography (ECDSA).</p> <h3 id="the-vulnerabilities">The Vulnerabilities</h3> <ul> <li><strong>ECDSA (Elliptic Curve Digital Signature Algorithm)</strong> — Currently used to sign Bitcoin transactions. A sufficiently powerful quantum computer could derive a private key from its corresponding public key.</li> <li><strong>Public Key Exposure</strong> — While Bitcoin addresses are hashed (providing a layer of protection), the public key is revealed to the network when a transaction is initiated, creating a window of vulnerability before the block is mined.</li> <li><strong>Mining (SHA-256)</strong> — <strong>Grover&rsquo;s Algorithm</strong> could speed up mining, but this is a quadratic improvement rather than exponential, meaning it could likely be mitigated by increasing network difficulty or hash rates.</li> </ul> <h2 id="mitigation-and-post-quantum-bitcoin">Mitigation and Post-Quantum Bitcoin</h2> <p>The Bitcoin community is well aware of these risks. Potential solutions include:</p>