Quantum Time-Space Tradeoffs for Exponential Dynamic Programming
Quantum Physics
2026-04-03 v1
Abstract
We investigate the quantum algorithms for dynamic programming by Ambainis et al. (SODA'19). While giving provable complexity speedups and applicable to a variety of NP-hard problems, these algorithms have a notable drawback: they require a large amount of Quantum Random Access Memory (QRAM), which potentially could be very challenging to implement in a physical quantum computer. In this work, we study how we can improve the space complexity by trading it for time, while still retaining a speedup over the classical algorithms. We show novel quantum time-space tradeoffs, which we obtain by adjusting the parameters of these algorithms and combining them with "quantized" classical strategies.
Cite
@article{arxiv.2604.02233,
title = {Quantum Time-Space Tradeoffs for Exponential Dynamic Programming},
author = {Susanna Caroppo and Jevgēnijs Vihrovs and Dārta Zajakina and Aleksejs Zajakins},
journal= {arXiv preprint arXiv:2604.02233},
year = {2026}
}