Quasipolynomial Trace Reconstruction

Arnav Burudgunte; Paul Valiant; Hongao Wang

Quasipolynomial Trace Reconstruction

Data Structures and Algorithms 2026-07-05 v1 Information Theory

Authors: Arnav Burudgunte , Paul Valiant , Hongao Wang

Abstract

We show that trace reconstruction on n-bit strings is possible using a quasipolynomial number of traces, for any retention probability p that is at least inverse polylogarithmic in n.

Cite

@article{arxiv.2607.04073,
  title  = {Quasipolynomial Trace Reconstruction},
  author = {Arnav Burudgunte and Paul Valiant and Hongao Wang},
  journal= {arXiv preprint arXiv:2607.04073},
  year   = {2026}
}