Arithmetic sequences as quantum states
Quantum Physics
2025-01-14 v1
Abstract
We consider arithmetic sequences, here defined as ordered lists of positive integers. Any such a sequence can be cast onto a quantum state, enabling the quantification of its `surprise' through von Neumann entropy. We identify typical sequences that maximize entanglement entropy across all bipartitions and derive an analytical approximation as a function of the sequence length. This quantum-inspired approach offers a novel perspective for analyzing randomness in arithmetic sequences.
Cite
@article{arxiv.2501.06292,
title = {Arithmetic sequences as quantum states},
author = {Ruge Lin and Germán Sierra and José I. Latorre},
journal= {arXiv preprint arXiv:2501.06292},
year = {2025}
}