• Corpus ID: 246822863

Variational quantum solutions to the Shortest Vector Problem

@article{Albrecht2022VariationalQS,
  title={Variational quantum solutions to the Shortest Vector Problem},
  author={Martin R. Albrecht and Milovs Prokop and Yixin Shen and Petros Wallden},
  journal={IACR Cryptol. ePrint Arch.},
  year={2022},
  volume={2022},
  pages={233}
}
. A fundamental computational problem is to find a shortest non-zero vector in Euclidean lattices, a problem known as the Shortest Vector Problem (SVP). This problem is believed to be hard even on quantum computers and thus plays a pivotal role in post-quantum cryptography. In this work we explore how (efficiently) Noisy Intermediate Scale Quantum (NISQ) devices may be used to solve SVP. Specifically, we map the problem to that of finding the ground state of a suitable Hamiltonian. In particular, (i… 
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