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arXiv · 1709.09282

Transversal switching between generic stabilizer codes

Cupjin Huang·Michael Newman
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Abstract

We propose a randomized variant of the stabilizer rewiring algorithm (SRA), a method for constructing a transversal circuit mapping between any pair of stabilizer codes. As gates along this circuit are applied, the initial code is deformed through a series of intermediate codes before reaching the final code. With this randomized variant, we show that there always exists a path of deformations which preserves the code distance throughout the circuit, while using at most linear overhead in the distance. Furthermore, we show that a random path will almost always suffice, and discuss prospects for implementing general fault-tolerant code switching circuits.

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Cupjin Huang, Michael Newman. 2018-01-30. Transversal switching between generic stabilizer codes. https://arxiv.org/abs/1709.09282

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