[[n, 1, d]] non-CSS stabilizer code using measurements on graph states

[Fe-r-oz]

Hi, Stefan!

Please refer to the paper: Fault-tolerance of [[6, 1, 3]] non-CSS code family generated using measurements on graph states. I think it would be a nice to implement the family of [[n, 1, d]] non-CSS Stabilizer codes in pure Julia as part of this library :) We already have graphstate implemented, but I’m not very familiar with measurement-based quantum computing 😅 . It would be nice to bring this functionality and implement it here :)

Methods

• The construction of the [[6, 1, 3]] non-CSS quantum error-correcting code using measurements on graph states.
• Analysis of the fault-tolerant properties of the code under anisotropic and depolarizing noise models.
• Use of a lookup table to correct errors based on syndrome measurements.
• A matrix-based approach to evolve the parity-check matrix, equivalent to the operator method, for finding the evolved stabilizer set after measurement (Algorithm 3).

In the meantime, I will review the paper more thoroughly and focus on the 'measurement-based' aspect of the implementation, as this is the area I am currently unclear about. I will update the discussion to provide more detailed specifics.

P.S. While the implementation of this may not be a high priority, it might be valuable in the broader context.

Please let me know your thoughts!

Best Regards,