# Techniques for efficient post quantum finance

> For the complete documentation index, see [llms.txt](/llms.txt). This markdown index mirrors [the canonical HTML page](/series/techniques-for-efficient-post-quantum-finance/).



## Techniques for efficient post quantum finance NEWS AND UPDATES



- [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.