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An Explicit Construction of Quantum Expanders

arXiv
Authors: Avraham Ben-Aroya, Oded Schwartz, Amnon Ta-Shma

Year

2007

Paper ID

49157

Status

Preprint

Abstract Read

~2 min

Abstract Words

47

Citations

N/A

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.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2007 reference point for readers tracking recent quantum research.
  • Quantum expanders are a natural generalization of classical expanders.

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