# Research

> For the complete documentation index, see [llms.txt](/llms.txt). This markdown index mirrors [the canonical HTML page](/categories/research/).



## Research NEWS AND UPDATES



- [Announcing Fusion Post-Quantum Digital Signatures](/blog/announcing-fusion-post-quantum-digital-signatures.md)

  Geometry Labs has developed highly aggregatable Fusion digital signatures for the QRL ecosystem with funding from the QRL Foundation’s grants programme. A formal specification and parameterization of the Fusion signature scheme is currently being developed by Geometry Labs; once complete, these algorithms will be made available to the public as open source software and shared with NIST for consideration as a possible standard.


- [Techniques for efficient post-quantum finance (Part 4: reducing storage requirements)](/blog/techniques-for-efficient-post-quantum-finance-part-4-reducing-storage-requirements.md) — proof-of-stake

  In this fourth article from The QRL Foundation and Geometry Labs on exploring various methods for constructing scalable post-quantum technology, we take a look at reducing node storage requirements without compromising blockchain verifiability.


- [Techniques for efficient post-quantum finance (Part 3: adaptor signatures)](/blog/techniques-for-efficient-post-quantum-finance-part-3-adaptor-signatures.md) — proof-of-stake

  This is the third article in a multipart series from The QRL Foundation and Geometry Labs exploring novel one-time adaptor signature scheme, designed to enable payment channels and decentralized trustless cross-chain atomic swaps (QRL↔BTC, QRL↔ETH, QRL↔ZEC, etc.)


- [Techniques for efficient post-quantum finance (Part 2: signature aggregation)](/blog/techniques-for-efficient-post-quantum-finance-part-2-signature-aggregation.md) — proof-of-stake

  This is the second article in a multipart series from The QRL Foundation and Geometry Labs exploring signature aggregation, a critical component for reducing the on-chain footprint for blockchains using the proof-of-stake consensus with many validators


- [Techniques for efficient post-quantum finance (Part 1: digital signatures)](/blog/techniques-for-efficient-post-quantum-finance-part-1-digital-signatures.md) — proof-of-stake

  The first part of a series for developing efficient post-quantum finance in an adversarial world. In this article, we look at how to efficiently implement lattice-based digital signature schemes. We show how they can be made more efficient with sparse keys, and link to a python package that employs these signatures.


- [Introducing lattice-algebra: An elegant, high-performance post-quantum cryptography library](/blog/lattice-algebra-library.md) — proof-of-stake

  QRL, in partnership with Geometry Labs, are excited to announce a new lattice-algebra library for efficient, elegant, and high performance post-quantum secure cryptography.


- [Project Zond. QRL’s Proof-of-Stake code, is released to the public.](/blog/project-zond-qrls-proof-of-stake-code-is-released-to-the-public.md) — proof-of-stake

  And with the partnership and seminal research by the team at Insight Research, it’s only going to get better from here.


- [Insight Researchers partners with the  Quantum Resistant Ledger](/blog/insight-researchers-partners-with-the-quantum-resistant-ledger.md) — proof-of-stake

  Update 2021- Geometry Labs is a new company started in early 2021, who the QRL team is now working with. At launch they hired the blockchain R&D team from Insight, though they’ve since expanded with new members of the team. Separately, Insight is still continuing its original mission of education through professional training fellowships. Zug, Switzerland, September 25th, 2020 — The Quantum Resistant Ledger (QRL) Foundation, creator of the world’s leading quantum-secure blockchain network and digital asset platform, has partnered with Insight’s quantum cryptography research team to continue to set the global standard towards its quantum-secure Proof-of-Stake network, a progression of its quantum-secure Proof-of-Work network presently in place.