haha challenge noted, though I don’t think I’d dare take it on. This notation already deserves a medal for consistency 😄

Also, not to derail this thread, but I’d love to ask your opinion about something related to quantum simulation at some point, if that’s okay!
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By “best randomness” I meant something like : is the depolarizing channel the most “uniform” in dissipating information in all directions? I was struggling to articulate it, then reread the paper and found I’m clearly not alone in that struggle 😅

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what do you mean by uncertainty exactly? the variance in the expectation value?

congrats ! just when I started believeing you and @mvscerezo.bsky.social can't come up with a more intricate notation in a single paper 😅

Does this imply that a perfect depolarizing channel is the best form of randomness?

pic: k-layer cHaar birthday cake

i got your point, but no one is adopting a cynical mindset at the moment, one would argue that the problem is closer to everyone adopting an optimistic and gullible mindset towards quantum. Inflating the bubble too fast will eventually make it pop. Then we will see the cynical mindset.

Watching those videos made me visualize everything i learned on the way, looking beyond the equations and imagining the actual physical effects of the mathematics. Something i will forever be grateful for, Thank you Grant Sanderson @3blue1brown.com ... (2/2)

Grant Sanderson's efforts in visualizing mathematical concepts through the years might be the most impactful thing ever done to serve science, growing up as a physicist, it started with his playlist on linear algebra, 10 videos, less than an hour ...(1/2)

@dulwichquantum.bsky.social accepting nominations for the annual prizes?

I suggest you refer him to @dulwichquantum.bsky.social 's article on how to join the conversation about quantum 🙂
dulwichquantum.github.io/blog/how-to-...