@letonyo For any n=m you should be able to rewrite this as n+m derivative wrt to a. Then the sum is just over the Gaussian part with a global prefactor of 1/a^2 if I did it right in my head.
@eshaswaroop @mike_vasmer anything that has meta-checks that scale with the code, really. The four-fold HGP based on the [25s^2, s^2] family of https://t.co/duV6Eeljol should do for sure. One could also construct explicit meta-checks for the code obtained from the standard HGP and check for that property.
Last year Iโve spent some months at @XanaduAI. I wanted to use that time to finally properly understand fault-tolerant MBQC. Digging in the literature I found that previous works didnโt fit my style of thinking. It was time for something new!
https://t.co/hVC77bld5v
I hope that the concept of the fault complex proves to be useful beyond our work. Weโve sketched out a few extensions to subsystem codes and also circuit-level noise models.
I see it as a step of going away from the picture of static codes to fault-tolerant channels!
@MWalschaers The Moyal product is something I deeply remember from the days of my bachelor project! We then discovered that (numerically) the Wigner function was not stable enough, and I had to learn the Voros product as well. Fun times! Looking forward to having a look at your introduction!
@letonyo@nic_delfosse I agree. I have noticed though that their are parts of the (very abstract/theoretical) community that don't value rep code experiments. I think it is a great way to gain confidence in effective noise models and discover effects that one initially forgot about, or new physics
Tired of quantum error correction feeling like a bad trip? Fear no more!
Meet our new method: Localized Statistics Decoding
(LSD). Today's the day that we bring it to the masses!
https://t.co/RWSuk5p0Kq
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Our recipe is openly available as part of the LDPCv2 package which contains lots of other good stuff. stim/sinter integration, overlapping window decoders for circuit-level noise, you name it.
https://t.co/ISOyXi608X
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