Post-Quantum Cryptography in Blockchain: When Mathematical Soundness Surpasses Computational Advantage

The blockchain industry confronts a decision with no room for delay: replace cryptographic primitives securing asset ownership and transaction integrity before a fault-tolerant quantum computer can execute Shor’s algorithm against production keys.
Simulation of quantum attacks against Web3 primitives confirms structural viability of compromising ECDSA, the signature scheme protecting Bitcoin and Ethereum wallets. The problem: the technically correct solution—post-quantum cryptography (PQC)—imposes operational costs most networks have not begun to quantify rigorously.
The threat is structural and cumulative
Risk does not materialize only when an adversary obtains a functional quantum computer. A present and cumulative threat exists: the harvest now, decrypt later (HNDL) attack. An adversary can collect public keys exposed on-chain today and store them until quantum capacity permits derivation of corresponding private keys.
Blockchains record public keys permanently and immutably. A later fork does not retroactively protect the keys. Assets linked to addresses whose public keys already reside on-chain are vulnerable once quantum capacity reaches the necessary threshold.
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