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An Explicit Construction of Quantum Expanders

Quantum Physics 2007-09-07 v1

Abstract

Quantum expanders are a natural generalization of classical expanders. These objects were introduced and studied by Ben-Aroya and Ta-Shma and by Hastings. In this note we show how to construct explicit, constant-degree quantum expanders. The construction is essentially the classical Zig-Zag expander construction, applied to quantum expanders.

Cite

@article{arxiv.0709.0911,
  title  = {An Explicit Construction of Quantum Expanders},
  author = {Avraham Ben-Aroya and Oded Schwartz and Amnon Ta-Shma},
  journal= {arXiv preprint arXiv:0709.0911},
  year   = {2007}
}

Comments

7 pages

R2 v1 2026-06-21T09:14:41.794Z