Questions tagged [css]
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A question on dimensions of the basis vectors for the $[[6,4]]$ code
I am working from page $8$ of this paper.
The generator for the coset representatives of $C^{\perp}$ in $C$ for the $[6,5,2]$ classical code is given by $$G_{C/C^{\perp}} = \begin{bmatrix} 1 & 1 &...
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Smallest distance 9 self dual code CSS code
Very similar to a previous question at Smallest distance 9 self-dual CSS code? .
I'm wondering whats the smallest distance 9 self dual CSS code. There is a 23 qubit distance 7 Golay code and a 47 ...
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Implementing CNOT logical gate for the Steane code
I am looking at the transversal logical gates for the Steane code.
I am having trouble trying to implement the $CNOT$ logical gate for this code.
I understand that we can transversally implement a ...
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Transversal CNOTs on CSS codes with multiple logical qubits
I am interested in the theory of implementing logical gates on quantum error correcting codes. From a practical view, transversal gates are very attractive. I have a question about transversal gates.
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A better name for "weakly self-dual CSS codes"
Does anyone know a better name than "weakly self-dual"/"self-orthogonal" for CSS codes where $H_X=H_Z$, for example the Steane code, and the color codes?
Details
In the discussion ...
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Smallest distance 9 self-dual CSS code?
The level-2 concatenated [[7,1,3]] Steane code, and the 4.8.8 color code are both self-dual [[49,1,9]] codes from the CSS family. Is there a distance 9 self-dual CSS code that has less than 49 qubits?
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