Research led by Coinbase finds that privacy tools based on ZK (Zero-Knowledge) proofs—such as Railgun, PrivacyPools, Aleo, and Aztec—are inherently immune to quantum attacks. A new study co-authored by researchers from Coinbase, Stanford University, and the Ethereum Foundation offers reassuring news for crypto privacy: the zero-knowledge proof systems used by protocols like Railgun, PrivacyPools, Aleo, and Aztec are mathematically resistant to quantum attacks. The paper, shared with DL News, argues that these systems rely on information-theoretic security—not on computational difficulty designed to be broken by quantum computers—meaning their privacy protections remain effective even against hypothetical "infinitely powerful" attackers. Why is this important? Most traditional blockchain security (such as protecting Bitcoin and Ethereum accounts) depends on computational assumptions: certain mathematical problems are considered too costly to solve with current computing power. In theory, quantum algorithms like Shor’s algorithm could solve some of these problems exponentially faster, posing a real future risk to signatures and keys. In contrast, zero-knowledge proofs are built on structural information models: they allow a prover to demonstrate knowledge of a secret without revealing anything beyond the statement itself. According to the study, this guarantee is information-theoretic—about how information is arranged and revealed—so even quantum computers (or any attacker with unlimited computational power) cannot extract more than what the proof permits. In short, Shor’s algorithm and similar quantum attacks target computational difficulty, not the information-theoretic foundation of ZK privacy.

Review of the projects
- Railgun: An Ethereum privacy protocol that uses ZK proofs to hide transaction amounts and addresses.
- PrivacyPools: Aiming to achieve compliant privacy, allowing users to prove funds are not from sanctioned sources without revealing full history.
- Aleo: A Layer 1 blockchain built natively around ZK proofs.