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Applying Grover's Algorithm to Hash Functions: A Software Perspective

Quantum Physics 2023-02-06 v1 Cryptography and Security

Abstract

Quantum software frameworks provide software engineers with the tools to study quantum algorithms as applied to practical problems. We implement classical hash functions MD5, SHA-1, SHA-2, and SHA-3 as quantum oracles to study the computational resource requirements of conducting a preimage attack with Grover's Algorithm. We introduce an improvement to the SHA-3 oracle that reduces the number of logical qubits required in the Keccak block permutation by 40%.

Keywords

Cite

@article{arxiv.2202.10982,
  title  = {Applying Grover's Algorithm to Hash Functions: A Software Perspective},
  author = {Richard Preston},
  journal= {arXiv preprint arXiv:2202.10982},
  year   = {2023}
}

Comments

14 pages, 13 figures