English

Dequantizability from inputs

Quantum Physics 2024-05-24 v1 Computational Complexity Data Structures and Algorithms

Abstract

By comparing constructions of block encoding given by [1-4], we propose a way to extract dequantizability from advancements in dequantization techniques that have been led by Tang, as in [5]. Then we apply this notion to the sparse-access input model that is known to be BQP-complete in general, thereby conceived to be un-dequantizable. Our goal is to break down this belief by examining the sparse-access input model's instances, particularly their input matrices. In conclusion, this paper forms a dequantizability-verifying scheme that can be applied whenever an input is given.

Cite

@article{arxiv.2405.13273,
  title  = {Dequantizability from inputs},
  author = {Tae-Won Kim and Byung-Soo Choi},
  journal= {arXiv preprint arXiv:2405.13273},
  year   = {2024}
}
R2 v1 2026-06-28T16:35:05.901Z