--- title: Is Abelian quantum-safe? chain: Abelian ticker: ABEL hardy_score: 84.5 rank: 2 of 23 tier: "1: Native" url: "https://hardyindex.com/chains/abelian" updated: 2026-08-12 methodology_version: 1.1 --- # Is Abelian quantum-safe? **Hardy Score 84.5 / 100. Rank 2 of 23. Tier 1: Native. As of 12 August 2026.** Yes, on the measure this index uses, with a qualification about standards. Abelian is a post-quantum privacy chain built on lattice cryptography from the start, and it has run lattice-based signatures and a key encapsulation mechanism on mainnet since 2022. That places it in the small group where post-quantum protection is native rather than retrofitted. The qualification is important: the primitives Abelian launched with were inspired by CRYSTALS-Dilithium and CRYSTALS-Kyber rather than being the finalised NIST versions, because they predate the FIPS 203 and 204 publications of August 2024. Abelian also pairs its lattice signatures with lattice-based zero-knowledge proofs and linkable ring signatures for privacy, which is a genuinely unusual combination: most privacy chains achieve privacy with elliptic-curve cryptography that a quantum computer would break. > This is a security-readiness assessment, not investment advice. ## Summary A lattice-based privacy chain that has run post-quantum signatures and key encapsulation on mainnet since 2022, built on primitives inspired by CRYSTALS-Dilithium and Kyber. ## Where we are making a judgement call Abelian ranks high on quantum readiness and this says nothing about the chain in any other respect. It is a small network by liquidity, ecosystem and developer activity, and it has attracted far less adversarial review than the major chains below it. Our verification score of 5 reflects that directly: we could confirm the design and the public code, but not independent audit of the specific constructions. Readers who weight independent cryptanalysis heavily should treat this placement as provisional. ## Score breakdown | # | Dimension | Score | Weight | Contribution | |---:|---|---:|---:|---:| | 1 | Signature scheme | 9/10 | 30% | 27.0 | | 2 | Deployment stage | 10/10 | 25% | 25.0 | | 3 | NIST alignment | 6/10 | 15% | 9.0 | | 4 | Migration path | 8/10 | 15% | 12.0 | | 5 | Exposure | 9/10 | 10% | 9.0 | | 6 | Verification | 5/10 | 5% | 2.5 | | | **Hardy Score** | | | **84.5** | ### 1. Signature scheme: 9/10 Lattice-based post-quantum signatures have secured Abelian mainnet since 2022 and are the scheme protecting funds, not an optional add-on. The point deducted reflects that the launch primitives were inspired by Dilithium rather than being the finalised standardised version. Source: https://github.com/pqabelian ### 2. Deployment stage: 10/10 Tier 1: Native. Post-quantum cryptography has protected the chain from launch rather than being added later, so there is no legacy of classical keys to migrate away from. Source: https://github.com/pqabelian ### 3. NIST alignment: 6/10 The design follows the lattice family that NIST standardised, using schemes inspired by CRYSTALS-Dilithium for signatures and CRYSTALS-Kyber for key encapsulation. Because deployment preceded FIPS 203 and 204, what runs is not identical to the published standards, which is a meaningful difference for anyone who needs certified conformance. Source: https://csrc.nist.gov/pubs/fips/204/final ### 4. Migration path: 8/10 There is no classical legacy to migrate, which removes the hardest problem other chains face. The deduction is for a different migration ahead of it: moving from Dilithium-inspired primitives to the finalised NIST parameter sets, which we could not confirm has been completed. Source: https://github.com/pqabelian ### 5. Exposure: 9/10 Abelian has no harvest-now-decrypt-later exposure in the usual sense, because its signature security does not rest on the discrete logarithm problem. Recording every public key today gains an attacker nothing from a future quantum computer. Source: https://github.com/pqabelian ### 6. Verification: 5/10 The implementation is open source and has run publicly since 2022, which is real evidence. Against that, we found limited independent audit or third-party cryptanalysis of Abelian's specific constructions, and its scale means the code has attracted far less adversarial review than the larger chains in this index. Source: https://github.com/pqabelian ## Signature scheme - **On mainnet today:** Lattice-based post-quantum signatures, mandatory for all transactions - **Post-quantum scheme:** Signature and key encapsulation primitives inspired by CRYSTALS-Dilithium and CRYSTALS-Kyber, with lattice-based zero-knowledge proofs and linkable ring signatures for privacy - **NIST standard:** Lattice family matching FIPS 204 and FIPS 203, but deployed ahead of those publications and not confirmed identical to them - **Readiness tier:** Tier 1: Native. Post-quantum secure at mainnet today, with quantum-resistant signatures built in from genesis. ## Roadmap - **2022** (shipped): Abelian runs lattice-based signatures and a key encapsulation mechanism on mainnet, making post-quantum protection native rather than retrofitted. Source: https://github.com/pqabelian - **August 2024** (shipped): NIST finalises ML-DSA and ML-KEM as FIPS 204 and FIPS 203, creating a standards target that Abelian's earlier primitives predate. Source: https://csrc.nist.gov/pubs/fips/204/final - **No date confirmed** (planned): Alignment of the deployed primitives with the finalised NIST parameter sets. We could not confirm whether or when this has been completed. Source: https://github.com/pqabelian ## Exposure Abelian carries effectively no harvest-now-decrypt-later exposure. Its signature security rests on lattice problems rather than on the discrete logarithm problem, so an attacker who records every public key on the chain today gains nothing from a future quantum computer. The privacy layer adds a second, independent reason there is little to collect: transaction details are hidden behind lattice-based zero-knowledge proofs and linkable ring signatures rather than being published and then obscured. The residual risk is not quantum but cryptographic maturity, since lattice constructions deployed before standardisation have had less public cryptanalysis than the finalised parameter sets. ## Frequently asked questions ### Is Abelian quantum-safe? Yes, on the measure this index uses, with a qualification about standards. Abelian is a post-quantum privacy chain built on lattice cryptography from the start, and it has run lattice-based signatures and a key encapsulation mechanism on mainnet since 2022. That places it in the small group where post-quantum protection is native rather than retrofitted. The qualification is important: the primitives Abelian launched with were inspired by CRYSTALS-Dilithium and CRYSTALS-Kyber rather than being the finalised NIST versions, because they predate the FIPS 203 and 204 publications of August 2024. Abelian also pairs its lattice signatures with lattice-based zero-knowledge proofs and linkable ring signatures for privacy, which is a genuinely unusual combination: most privacy chains achieve privacy with elliptic-curve cryptography that a quantum computer would break. ### Is Abelian quantum-safe? On the measure this index uses, yes. Abelian has run lattice-based post-quantum signatures on mainnet since 2022, and lattice problems are not broken by Shor's algorithm. The qualification is that the deployed primitives were inspired by CRYSTALS-Dilithium rather than being the finalised NIST standard, which matters for anyone who needs certified conformance. ### Does Abelian's privacy come from the same cryptography as its quantum resistance? Yes, and that is unusual. Most privacy chains build their privacy on elliptic-curve cryptography, which a quantum computer would break, so privacy and quantum safety come apart. Abelian uses lattice-based zero-knowledge proofs and lattice-based linkable ring signatures, so both properties rest on the same post-quantum foundation. ### How does Abelian compare with QRL? Both are native post-quantum chains, and they made opposite bets. QRL uses XMSS, a hash-based scheme whose security rests on hash preimage resistance, approved by NIST in SP 800-208 and stateful. Abelian uses lattice constructions, which are stateless and more compact, but were deployed before the corresponding standards were published. ### Why is Abelian's verification score low if the code is open? Open source is necessary but not sufficient. We found limited independent audit or third-party cryptanalysis of Abelian's specific lattice constructions, and the network's scale means far fewer adversarial eyes have examined it than have examined Bitcoin or Ethereum. The score reflects the amount of external scrutiny, not the openness of the code. ## What this rating means if you hold Abelian Plain-language guidance from the same publication, with no product recommendation attached. - [Is my crypto safe from quantum computers?](https://hardyindex.com/guides/is-my-crypto-safe-from-quantum-computers.md) - [How to protect your crypto from quantum computers](https://hardyindex.com/guides/how-to-protect-crypto-from-quantum-computers.md) - [All guides](https://hardyindex.com/guides.md) Nothing on this profile is sponsored and nothing on it is an affiliate link. See https://hardyindex.com/how-we-make-money.md. ## Sources 1. [PQAbelian source repositories](https://github.com/pqabelian): Abelian Foundation (GitHub) (primary, checked 12 August 2026) 2. [FIPS 204: Module-Lattice-Based Digital Signature Standard (ML-DSA)](https://csrc.nist.gov/pubs/fips/204/final): NIST (primary, checked 12 August 2026) 3. [FIPS 203: Module-Lattice-Based Key-Encapsulation Mechanism Standard (ML-KEM)](https://csrc.nist.gov/pubs/fips/203/final): NIST (primary, checked 12 August 2026) --- Methodology: https://hardyindex.com/methodology (v1.1). Cite as: The Hardy Index, "Abelian", https://hardyindex.com/chains/abelian, as of 12 August 2026.