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arxiv: 0709.0911 · v1 · submitted 2007-09-06 · 🪐 quant-ph

An Explicit Construction of Quantum Expanders

classification 🪐 quant-ph
keywords expandersquantumconstructionclassicalexplicitappliedben-aroyaconstant-degree
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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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