Error suppression via complementary gauge choices in Reed-Muller codes
arXiv:1705.00010 · doi:10.1088/2058-9565/aa7c4a
Abstract
Concatenation of two quantum error correcting codes with complementary sets of transversal gates can provide a means towards universal fault-tolerant computation. We first show that it is generally preferable to choose the inner code with the higher pseudo-threshold in order to achieve lower logical failure rates. We then explore the threshold properties of a wide range of concatenation schemes. Notably, we demonstrate that the concatenation of complementary sets of Reed-Muller codes can increase the code capacity threshold under depolarizing noise when compared to extensions of previously proposed concatenation models. We also analyze the properties of logical errors under circuit level noise, showing that smaller codes perform better for all sampled physical error rates. Our work provides new insights into the performance of universal concatenated quantum codes for both code capacity and circuit level noise.
11 pages + 4 appendices, 6 figures. In v2, Fig.1 was added to conform to journal specifications
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Cited by in corpus (6)
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- Efficient Concatenated Bosonic Code for Additive Gaussian Noise
- Secure multi-party quantum computation protocol for quantum circuits: the exploitation of triply-even quantum error-correcting codes
- Bounds on concatenated entanglement-assisted quantum error-correcting codes