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mathgenius

11,330 karma · joined May 1, 2009

Email me simon at arrowtheory.com Cheers.
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mathgenius··on The Art of Mathematics
For me I need to see examples. The abstraction almost always just confuses me. Unfortunately most (advanced) mathematics texts are very thin on examples. It wasn't always like this. Mathematics used to (hundreds of years ago) be done with all examples and no theory! That would suit me just fine. It seems that some people are better at one way or the other. The present trend is towards the abstract side.
mathgenius··on The Case Against Quantum Computing
> it relies on manipulating and measuring an absolutely astronomical number of

"Manipulating" yes, that is the whole point. But you don't measure all those astronomical number of variables. The measurements stay sane, the state does not.

> it deserves something more thoughtful than a dismissive response

To me this article is itself a dismissive response to quantum computing.

mathgenius··on The Case Against Quantum Computing
This is a lame article, bordering on click-bait.

It is totally reasonable to predict a quantum computing winter, but all the supporting arguments here seem to be about how "hard-headed engineers" know best.

> So the number of continuous parameters describing the state of such a useful quantum computer at any given moment must be at least 2^1000, which is to say about 10^300. That’s a very big number indeed.

Yes this is the whole point: if it wasn't this big, we could just simulate it on a regular computer.

> To repeat: A useful quantum computer needs to process a set of continuous parameters that is larger than the number of subatomic particles in the observable universe.

Yep.

> it’s absolutely unimaginable how to keep errors under control for the 10^300 continuous parameters that must be processed by a useful quantum computer.

I do imagine it, every day. But I'm a professional, so maybe that doesn't count?

> How many physical qubits would be required for each logical qubit? No one really knows...

There are plenty of such estimates around. Obviously it depends on the noise rate of each qubit.

> all of the assumptions that theorists make about the preparation of qubits into a given state, the operation of the quantum gates, the reliability of the measurements, and so forth, cannot be fulfilled exactly. They can only be approached with some limited precision. So, the real question is: What precision is required? ... Amazingly, not only are there no clear answers to these crucial questions, but they were never even discussed!

There are boatloads of papers (and conferences) that discuss exactly this. Obviously it is a vital question to answer!

mathgenius··on So You Want to Learn Physics (2016)
Books are too low bandwidth. You will get stuck, mostly on trivial stuff. Then what do you do?

My advice is to find a teacher. If they are any good they will speed up the process by one or two (or more) orders of magnitude. Even the professionals do this.

mathgenius··on Category Theory for Programmers by Bartosz Milewski
pdf here: https://github.com/hmemcpy/milewski-ctfp-pdf/

related HN discussion: https://news.ycombinator.com/item?id=15372856

mathgenius··on Ask HN: First month job anxiety. Am I actually an impostor?
I've noticed a pattern: the people that look "on point" are often clueless, and the ones that look muddled are often heading in the right direction. It has taken twenty years, and several careers, for me to work this out though.

Try to find someone you can talk to, and work with, that doesn't make you feel stupid. You seem to be focusing too much on the "I": it makes a huge difference the relationships you form. Huge.

This could be difficult for you, but here's another idea: be vulnerable. Let people know what's going on with you, that you're afraid and need a leg-up. Being vulnerable in this way is actually a sign of great strength. Your post here on HN is already a step in this direction.

mathgenius··on The Many-Worlds Interpretation Has Many Problems
Thankyou for clearing this up. I've been confused about this for a long time. It also explains why the decoherence theory fits in with this story.
mathgenius··on Ask HN: What things have richly rewarded the time invested in mastering them?
Argentine tango: https://www.youtube.com/watch?v=VRQ1T5zKTJ4
mathgenius··on Ask HN: What things have richly rewarded the time invested in mastering them?
> learn a lot about myself

This is so true: playing Go strips you naked, everything about your personality comes out in the game. It's completely terrifying. And awesome.

mathgenius··on Ask HN: What things have richly rewarded the time invested in mastering them?
Social dancing, in particular argentine tango. Would totally recommend it to all the nerds here, it attracts quite a cerebral crowd. You can go to any major city and there will be tango to be found and people to meet there. Definitely saved my ass from oblivion more than once. Doesn't matter if you're the ugliest dude in the room, if you can dance then the girls will want some.
mathgenius··on Ask HN: What things have richly rewarded the time invested in mastering them?
Toastmasters is very cool, and also a bit weird. It's like AA for people that are addicted to shyness.
mathgenius··on How counterfeits benefit Amazon
There are plenty of reports of counterfeit books on amazon. I don't buy my books from there anymore. If I wanted a cheap knock-off I can print it myself.
mathgenius··on The Mathematics of Quantum Mechanics [pdf]
Feynman volume III: it's very wordy, and concrete.

http://www.feynmanlectures.caltech.edu/III_toc.html

You might also like John Bell's original papers. Feynman doesn't do entanglement. Conway's "free will" paper is good aswell.

mathgenius··on The Mathematics of Quantum Mechanics [pdf]
This line of thought is very interesting indeed. Understanding the similarity/contrast to the join operator is really at the heart of what quantum is about. It comes down to, what do you mean by "and" ?

Check out the breezy writing in this paper: https://arxiv.org/abs/1602.07618

Also, the Rosetta stone paper (more advanced): https://arxiv.org/abs/0903.0340

mathgenius··on The Causal Revolutionary – Interview with Judea Pearl
> The equations of physics are algebraic and symmetrical, whereas causal relationships are directional.

I don't agree with this. Quantum measurements are projective and they are very much one way. People seem to want to dismiss this as being just "epistemic" like the way entropy (thermodynamics) is one-way, but not fundamentally one way. Entropy increases only because we can't see all the details. Quantum measurements are not like that.

mathgenius··on Quantum Computing and Cryptography
> Yes, I know that quantum key distribution is a potential replacement for public-key cryptography. But come on -- does anyone expect a system that requires specialized communications hardware and cables to be useful for anything but niche applications?

I don't think there is any inherent reason why this would have to be done using "specialized communications hardware and cables". Didn't the Chinese just demonstrate entanglement sharing via satellite?

I could imagine a post-quantum computing era where it is even possible to know, with certainty, if you have been hacked, or data breached, because of quantum cryptography. We are not any where near this kind of technology right now, but the physics is real.

mathgenius··on Genoa Bridge Collapse: The Road to Tragedy
What is the lesson?

If something even slightly goes wrong with my software I don't want it to survive at all. This is the equivalent of putting dynamite on all the load bearing points of a structure, rigged to explode if they move out of place!

Software doesn't bend, it's digital.

mathgenius··on Carlo Rovelli on challenging our common-sense notion of time
" |u> can evolve independently of |v> "

This is not unitary. Quantum theory has two parts: unitary evolution, and measurement processes. That's it.

mathgenius··on Carlo Rovelli on challenging our common-sense notion of time
Anything else is not unitary evolution.
mathgenius··on Carlo Rovelli on challenging our common-sense notion of time
> You can get every conclusion you want out of QM without any wavefunction collapses

I don't think so.

> "piles of words"

I definitely agree about the piles. Maybe ordinary language is just to feeble for this stuff.

mathgenius··on Carlo Rovelli on challenging our common-sense notion of time
For any two state vectors, |u> and |v>, unitary evolution preserves the amplitude <u|v>:

<u|U^\dag U|v> = <u|v>.

mathgenius··on Carlo Rovelli on challenging our common-sense notion of time
Yes there are many perspectives to take.

The basic problem with your suggestion is that it does not explain how anything actually "happens". Unitary evolution is a theory where nothing changes. People seem to think that they can evoke decoherence, or similar, and these issues disappear. But they do not.

Anyway, I'm not positing any solution, I am just saying that it irks me that all these ideas are dismissed whenever it comes to the problem of the asymmetry of time. It just seems bizarre to me.

mathgenius··on Carlo Rovelli on challenging our common-sense notion of time
Yes, this is known as "the church of the larger Hilbert space", or perhaps "Wigner's friend".
mathgenius··on Carlo Rovelli on challenging our common-sense notion of time
Ok, but why is there no discussion at all? I stand by my irk.
mathgenius··on Carlo Rovelli on challenging our common-sense notion of time
These are all good questions, and we can add also "what is energy?" and "what is space?". I find it all deeply mysterious. Perhaps the questions are more interesting than the answers. How about this one: "what is is?"
mathgenius··on Carlo Rovelli on challenging our common-sense notion of time
> Unlike general relativity, quantum mechanics, and particle physics, thermodynamics embeds a direction of time.

This is the bit that irks me. Quantum mechanics, the real QM that physicists actually use, involves collapse of the wavefunction. This is absolutely time-asymmetric. But in all these discussions of "why is time one-way?" this never seems to be mentioned. Apparently QM is not a real theory, and just a placeholder until we can work something out properly. Irk!

mathgenius··on Loneliness is pervasive and rising, particularly among the young
Try social dancing: salsa, argentine tango, swing.
mathgenius··on Movie madness: Why Chinese cinemas are empty but full
A good example of "loopy belief propagation".
mathgenius··on The New Reading Environment
I really loved reading this article. Although I had to turn off my twitter brain to get there.

Here is the money quote for me:

"Were his readers not reading well enough, or did he not write it well enough? Disagreement is mostly blamed on miscommunication. The burden of clarity is now entirely on the author, which makes for dull and repetitive arguments  — and a demand that certain people come to represent, unambiguously, certain arguments. One’s cards must all be laid on the table, faceup, and one’s position must be unified. But the rise of misreading doesn’t give permission not to mean what you say."

mathgenius··on A visualization of the prime factors of the first million integers
Yeah it's hard to tell if this visualization is picking up anything interesting about prime numbers or not.
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