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Abelian is a Layer 1 Blockchain system with both quantum-resistant and privacy-preserving features. By quantum-resistant, Abelian’s cryptographic systems can defend against attacks launched by the future powerful quantum computers. By privacy preserving, Abelian has the privacy coin ABEL, which can be used with full privacy, or privacy in the pseudonymous level.

This is the world’s first Blockchain system which is both post-quantum and privacy-preserving. In addition, the security and privacy assurance of Abelian are both mathematically proven secure. This is also the world’s first provably secure Blockchain system with its security and privacy being both mathematically reduced to some well-known quantum-resistant hard problems.

Abelian’s lattice-based post-quantum cryptosystems are based on CRYSTALS-Dilithium and Kyber, both have been chosen by the US National Institute of Standards and Technology (NIST) as in the first batch of post-quantum cryptographic (PQcrypto) national standards. This symbolizes the mass adoption of these PQcrypto primitives by the federal agencies and the rest of the world for replacing existing elliptic curve cryptosystems.

Abelian makes use of linkable ring signatures in the context of post-quantum security. While different from Monero, Abelian has multiple levels of privacy spanning from pseudonymity to full privacy. Pseudonymity gives similar anonymity assurance to that by Bitcoin. Full privacy protects sender and receiver wallet addresses, and also the transaction amount. In between pseudonymity and full privacy, Abelian also supports accountability, which lets a user share a trapdoor information with a third party in such a way that full privacy is still ensured against the public while it becomes pseudonymous to this third party.

Abelian’s Proof-of-Work (POW) mechanism is compatible with that of the Ethereum 1.0 and hence is GPU friendly. Mining rigs and farms which were previously built for Ethereum 1.0 mining can readily be migrated to mine Abelian privacy coin ABEL.

Abelian is also an ecosystem that in addition to the Layer 1 POW post-quantum Blockchain network, Abelian aims at supporting other Blockchain systems including major EVM-compatible Blockchains to be quantum-safe. By applying Abelian’s lattice-based zero-knowledge proof systems, Abelian is able to protect digital assets residing on other non-quantum-safe Blockchains against quantum attacks.