An Explicit Construction of Quantum Expanders

Physics – Quantum Physics

Scientific paper

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7 pages

Scientific paper

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.

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