Calderbank Shor Steane Codes

Calderbank-Shor-Steane Codes

We expand the class of holographic quantum error-correcting codes by developing the notion of block perfect tensors, a wider class that includes previously defined perfect tensors. The relaxation of this constraint opens up a range of other holographic codes. We demonstrate this by introducing the self-dual Calderbank-Shor-Steane (CSS) heptagon holographic code, based on the 7-qubit Steane code. Finally, we show promising thresholds for the erasure channel by applying a straightforward, optimal erasure decoder to the heptagon code and benchmark it against existing holographic codes.

https://arxiv.org/pdf/1806.06472.pdf

Introduction to quantum error correction

By A. M. Steane, Department of Atomic and Laser Physics

ref: http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.205.7116&rep=rep1&type=pdf