
Briefing
This research addresses the critical problem of quantum computing’s threat to blockchain security, specifically the vulnerability of elliptic-curve cryptography to Shor’s Algorithm. It proposes a foundational breakthrough by identifying an underexplored structural advantage in blockchains utilizing EdDSA signatures, where hash-based deterministic secret key generation enables post-quantum zero-knowledge proofs of private key ownership. This mechanism facilitates a proactive, non-disruptive transition to quantum-safe algorithms, crucially preserving existing public addresses and avoiding asset transfers. This new theory implies a future where select blockchain architectures can achieve quantum resistance with minimal user impact, establishing a new paradigm for cryptographic resilience.

Context
Before this research, the prevailing theoretical limitation for blockchains facing quantum threats centered on the disruptive nature of cryptographic upgrades. Systems relying on ECDSA, such as Bitcoin and Ethereum, confront the inevitability of complex hard forks or intricate hybrid signature schemes to achieve quantum resistance. This challenge creates a significant academic and practical dilemma, as migrating trillions in digital assets without compromising security or user experience presents an unsolved foundational problem, necessitating a paradigm shift in cryptographic transition strategies.

Analysis
The paper’s core mechanism centers on leveraging the unique properties of the Edwards-curve Digital Signature Algorithm (EdDSA), particularly its deterministic, hash-based secret key derivation. This allows for the creation of a zero-knowledge proof of ownership for the seed used in key generation, rather than the private key itself. A user can verifiably demonstrate control over their account’s cryptographic foundation without revealing sensitive information.
This proof, specifically implemented using post-quantum zk-STARKs, then authorizes a “stealth upgrade” where the underlying signature scheme transitions to a quantum-safe alternative. The fundamental difference from previous approaches lies in this non-disruptive, address-preserving migration, which bypasses the need for users to transfer assets or change public identifiers, thereby maintaining continuity and security.

Parameters
- Core Concept ∞ Post-Quantum Readiness
- New System/Protocol ∞ EdDSA Chains with ZKP-based Migration
- Key Authors ∞ Baldimtsi, F. et al.
- Signature Algorithm ∞ EdDSA (Ed25519)
- Quantum Threat ∞ Shor’s Algorithm
- ZKP Type ∞ Post-Quantum zk-STARKs
- Key Derivation Method ∞ Hash-based Deterministic Secret Key Generation

Outlook
This research opens new avenues for proactive cryptographic security in blockchain ecosystems. The immediate next steps involve further optimization and standardization of the ZKP-based migration protocols, potentially leading to widespread adoption across EdDSA-based chains within the next three to five years. Real-world applications could unlock truly quantum-resistant digital asset ownership and transaction security, fostering greater institutional confidence and regulatory clarity. This work also stimulates new research into similar non-disruptive upgrade mechanisms for other cryptographic primitives, advancing the broader field of adaptive blockchain architecture.