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Michael Nielsen Profile picture
@michael_nielsen
May 29 • 4 tweets • 2 min read Twitter logo Read on Twitter
Striking fact learned the other night: the singlet-triplet measurement is (apparently) BQP-complete. Anyone have a pointer for a proof?

(I find this hard to credit. If true it's just amazing.
But I'll bet the proof fits in a tweet or two.)
Oh: arxiv.org/pdf/2105.04649…

I wonder if further progress has been made? Image
Huh: looks to be true:

(Admittedly, initial state assumptions are kinda funny here.)
It really is quite incredible Image

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More from @michael_nielsen

Michael Nielsen Profile picture
May 29
In what senses (if any) has a neural net been used to learn an operating system from scratch?
Or the design of a programming language?
Just attempting to construct cost functions is surprisingly entertaining
Read 4 tweets
Michael Nielsen Profile picture
May 28
Instinctively, my answer is no. I'd expect the Lyapunov exponents in the system to be zero - the degrees of freedom are rotation (no exp divergence, ignoring friction) & center of mass (ditto), so there's nothing to amplify quantum fluctuations, even in the absence of decoherence
That said, I'm not sure, and would need to reflect further

Fun problem; it'd make a nice essay question for a class on quantum chaos!
Reflecting more: there's something funny about unstable equilibria. Eg if I start a pendulum inverted, quantum fluctuations + decoherence will make the pendulum "choose" a side, pretty rapidly. But AFAICS there are no similar points for the coin...
Read 6 tweets
Michael Nielsen Profile picture
May 15
Claude's Principles: anthropic.com/index/claudes-…
There's a lot of ways one could engage with this (and reasons one might be wary). Here I will mostly adopt one frame, which is thinking from a personal pov about these principles, applying the principle of charity
Put another way: in this thread I want to engage positively and earnestly with the principles, and with criticism as a means to improvement or alternate perspectives, not as a principal end in itself
Read 28 tweets
Michael Nielsen Profile picture
May 15
Ted Chiang: "Will AI become the new McKinsey?" archive.is/tSpYV
Pedantically, we can also try to reason directly about it, we don't need to rely on metaphor. But the point about how slippery metaphor is is a good one

Related: the very tricky relationship between "narratively plausible" and "potentially true" Image
I've been collecting examples of things which are narratively plausible, but (very likely) false. A good one is faster-than-light travel. Are there any you like?
Read 35 tweets
Michael Nielsen Profile picture
May 14
Amazing graph:
I don't know the original source of the data, or how reliable it is. It's this site: wid.world

I'd love a reliable source for tracking inequality!
This also looks promising, from the marvellous @OurWorldInData: ourworldindata.org/income-inequal…

(Unfortunately not updated since 2016, but then they do incredible work on a shoestring.)
Read 4 tweets
Michael Nielsen Profile picture
May 13
Imagining competitive meditation as a sport:
And trying to imagine what it would be like to commentate

"Oh, his eye seems to be twitching a little there! Some intrusive thoughts, I'm guessing Bob! Let's just check in on the ECG... [etc]"
Excellent point:

"And this year's winner is... Methusaleh! Continuing his streak of not entering for 968 years! Congratulations Methusaleh!"
Read 4 tweets

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