Posted on 01/02/2021 8:54:00 PM PST by BenLurkin
Central to both quantum chemistry and the Schrödinger equation is the wave function – a mathematical object that completely specifies the behavior of the electrons in a molecule. The wave function is a high-dimensional entity, and it is therefore extremely difficult to capture all the nuances that encode how the individual electrons affect each other. Many methods of quantum chemistry in fact give up on expressing the wave function altogether, instead attempting only to determine the energy of a given molecule. This however requires approximations to be made, limiting the prediction quality of such methods.
Other methods represent the wave function with the use of an immense number of simple mathematical building blocks, but such methods are so complex that they are impossible to put into practice for more than a mere handful of atoms. “Escaping the usual trade-off between accuracy and computational cost is the highest achievement in quantum chemistry,” explains Dr. Jan Hermann of Freie Universität Berlin, who designed the key features of the method in the study. “As yet, the most popular such outlier is the extremely cost-effective density functional theory. We believe that deep “Quantum Monte Carlo,” the approach we are proposing, could be equally, if not more successful. It offers unprecedented accuracy at a still acceptable computational cost.”
The deep neural network designed by Professor Noé’s team is a new way of representing the wave functions of electrons. “Instead of the standard approach of composing the wave function from relatively simple mathematical components, we designed an artificial neural network capable of learning the complex patterns of how electrons are located around the nuclei,”
(Excerpt) Read more at scitechdaily.com ...
“So is the cat dead or alive?
🐈”
Does it contain atoms?
“Bookmark for myself for review during normal waking hours”
I tried that... didn’t work.
This is edge-of-your-seat stuff. But I prefer Geology.
A property of mine called “Mole-Haven” supports a couple of critters, cats being one. I think the owls hunt it too.
What I need is a quality IR capable trail cam for a descent price.
“It cannot be the same wind. The wind at different times is composed of different molecules of air.”
Wind at a locagion is whatever air is moving around at a location. It doesn’t have to be the same molecules.
This is similar to who you are. Different molecules and cells are constantly going in and out of your body but we still call you “you”.
99.9999...of the things we observe are aggregates that at the microscopic level are constantly changing, yet our perception of the object doesn’t change.
In other words aggregates of objects have their own identity,which can be very different than the parts of which it is composed. You and me are such examples.
Dr. Fauci says it doesn’t matter where the cat is so long as it didn’t celebrate Christmas or New Years, wears a mask and socially distances. And no restaurants! And if you let it out at night, 14 days of quarantine for you!
“Until you open your eyes and sample it, you don’t even know whether or not it’s a cat.”
Exactamundo!
“I love reading about quantum physics. I love the “spooky” physics.
I just don’t understand it that well....”
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You ought to periodically check in on Sabine Hossenfelder’s blog. She’s a German physicist but her blog is in English.
Here’s a link to her blog.
http://backreaction.blogspot.com/
Great explanation. Thanks.
Sorry, the cat does not know. The wave function can be collapsed only by an “observer”, and quantum mechanics says that the observer is the one with the research grant.
Agreed, I read the paper and it is 40% old science and 60% AI gibberish. I was using Hartree Fock as a graduate student at Cambridge over 50 years ago. Since the huge mainframe computer could only add, subtract, multiply and divide all the algebra was done by hand. It wasn’t too hard.
Say WHAT?
So, is the cat dead or alive?
The cat is BOTH dead and alive and everything in between.
As Feynman said “if you think you understand quantum physics, you don’t understand quantum”
It’s the closest thing to magic.
Thanks for the link House.
And yes, Mr. K, it’s like God’s joke on us when we think we know so much :)
I REALLY want to understand it.
Someone gave an example on a physics site that quantum computers would be like this:
A regular computer goes through so many individual mazes to find the right one.
A quantum computer would go through all of the mazes at one time to find the right one.
Qbits broken into photons and disembodied and restructured in another location?
I don’t even know if i’m saying these examples right.
But that link will help and I read whatever I can.
I understand about 2 to 4 percent each time but it adds up :)
Yes. Regular computers examine each possible path through a maze one at a time, Quantum computers go through all paths at once.
That IS the most accurate way to describe it. Actually that’s about the best way to express it that I’ve heard.
Wow. It staggers the mind.
Regular computers are So Fast.
How fast is needed?
That’s another thing I get confused about.
Is quantum computing just about speed in the end? If it is, that’s fine. I’m just wondering.
The Qbits and photons of light being teleported (reconstructed on the other side) is just insane.
You have a firm grasp on it.
You guys that do MUST be in the business somehow.
Or are just geniuses on the side :)
It gave Einstein a headache too. But he acknowledged that there was “spooky action at a distance”.
Gives me a headache too!
Nice!
Yeah - my mind reached its limit when my Dad told me about the “triple point of water” in the ‘60s.
It’s the point where it is said to exist as liquid/gas/solid at the same time - the fun part is that the balance is so tenuous that when water is at the exact temperature, a finger nail flick to the container “knocks the heat out of it” and it immediately crystalizes into ice.
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