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arXiv · 2501.06292

Arithmetic sequences as quantum states

Ruge Lin·Germán Sierra·José I. Latorre
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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.

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Ruge Lin, Germán Sierra, José I. Latorre. 2025-01-10. Arithmetic sequences as quantum states. https://arxiv.org/abs/2501.06292

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