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# System prepended metadata

title: 'arXiv:2005.07016 Errata'

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#  arXiv:2005.07016 Errata

Joschka Roffe

[TOC]

## [arXiv:2005.07016v1](https://arxiv.org/abs/2005.07016) Equation 8

Equation 8 reads as follows:

$$\mathbf{e}_{[S,T]} = \left(H_{[S]}^{-1}\cdot \mathbf{e}_{[S]}+H_{[S]}^{-1}\cdot H_{[T]} \cdot \mathbf{e}_{[T]}, \ \mathbf{e}_{[T]} \right)$$

There is an error in the first term inside the brackets. The **correct** form of the equation is as below:

$$\mathbf{e}_{[S,T]} = \left( \mathbf{e}_{[S]}+H_{[S]}^{-1}\cdot H_{[T]} \cdot \mathbf{e}_{[T]}, \ \mathbf{e}_{[T]} \right)$$

In this form, we see that the equaiton $[H_{[S]},H_{[T]}]\cdot \mathbf{e}_{[S,T]}=H_{[S]}^{-1}\cdot \mathbf{e}_{[S]}=\mathbf{s}$ is indeed satisfied (where $\mathbf{s}$ is the syndrome).


