publications

2025

1. 

   End-to-end compilable implementation of quantum elliptic curve logarithm in Qrisp

   Diego Polimeni, and Raphael Seidel

   2025

   Abs arXiv Bib Code

   Elliptic curve cryptography (ECC) is a widely established cryptographic technique, recognized for its effectiveness and reliability across a broad range of applications such as securing telecommunications or safeguarding cryptocurrency wallets. Although being more robust than RSA, ECC is, nevertheless, also threatened by attacks based on Shor’s algorithm, which made it a popular field of study in quantum information science. A variety of techniques have been proposed to perform EC arithmetic in quantum devices; however, software support for compiling these algorithms into executables is extremely limited. Within this work, we leverage the Qrisp programming language to realize one of the first fully compilable implementations of EC arithmetic and verify its correctness using Qrisp’s built-in sparse matrix simulator.

   @misc{polimeni2025endtoendcompilableimplementationquantum,
     title = {End-to-end compilable implementation of quantum elliptic curve logarithm in Qrisp},
     author = {Polimeni, Diego and Seidel, Raphael},
     year = {2025},
     archiveprefix = {arXiv},
     primaryclass = {quant-ph},
     url = {https://arxiv.org/abs/2501.10228},
   }