Timo Hillmann

inactive | go @timohillmann.bsky.social | PhD student @chalmersuniv. Interested in circuitQED, bosonic error correction & driven-dissipative phase transitions

[Timo Hillmann @timohillmann]

find me over at the alternative: @timohillmann.bsky.social
I'm out of here.

[Timo Hillmann @timohillmann]

@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.

[Timo Hillmann @timohillmann]

@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.

[Timo Hillmann @timohillmann]

Check out @mike_vasmer views on our project about fault complexes! Thanks for keeping an open mind about my vague ideas and intuitions throughout!

[Timo Hillmann @timohillmann]

@jenseisert @XanaduAI Thanks, Jens! This has indeed been a result that changed my understanding of quantum error correction in space-time!

[Timo Hillmann @timohillmann]

Last year I’ve 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 didn’t fit my style of thinking. It was time for something new!
https://t.co/hVC77bld5v

[Timo Hillmann @timohillmann]

Thanks again to the whole @XanaduAI team and especially my close collaborators on this project, Guillaume, Ilan, and @mike_vasmer

[Timo Hillmann @timohillmann]

I hope that the concept of the fault complex proves to be useful beyond our work. We’ve 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!

[Timo Hillmann @timohillmann]

@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!

[Timo Hillmann @timohillmann]

@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

[Timo Hillmann @timohillmann]

@decodoku @CraigGidney Could they by any chance mean this? “Before” would be very loosely defined in that case of course.

https://t.co/GfemTkaCvO

[Timo Hillmann @timohillmann]

Thanks to the team for this fun collaboration; @lucasberent @armanda_oq @jenseisert @rbrtwll @QuantumGizmos
(7/7)

[Timo Hillmann @timohillmann]

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
(1/7)

[Timo Hillmann @timohillmann]

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
(6/7)