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Trapped Ion Quantum Computing

Quantum Time-Space Tradeoffs for Exponential Dynamic Programming

arXiv
Authors: Susanna Caroppo, Jevgēnijs Vihrovs, Dārta Zajakina, Aleksejs Zajakins

Year

2026

Paper ID

38855

Status

Preprint

Abstract Read

~2 min

Abstract Words

105

Citations

N/A

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.

Why This Paper Matters

  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • We investigate the quantum algorithms for dynamic programming by Ambainis et al.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2604.02233 [2] arXiv https://arxiv.org/abs/2604.02233 [3] Publisher https://arxiv.org/abs/2604.02233

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