So far my biggest worry is the fact that the authors don't seem to address how many times you have to run the quantum circuit, especially as you scale to larger problem sizes.
Well this seems like a big deal. Quantum algorithm to factor integers using resources (both qubit # and gate depth) that scale sub-linearly! For comparison Shor's algorithm requires O(n) qubits and a gate depth of O(n³).
So claim is RSA-2048 can be broken with 372 qubits and a gate depth of ~1000
Fun Solstice fact:
Earth is currently much closer to the sun than during the summer (more than 3 million miles closer). So even though today is the coldest, darkest day of the year here in the Northern Hemisphere, you are actually much closer to the sun.
Moral of the story:
Axial tilt is the reason for the season!
Total solar eclipse on Jupiter (by it's moon Ganymede), taken by NASA's Juno probe.
After releasing separate “Pillars of Creation” images captured with the near-infrared and mid-infrared cameras, the JWST team also released this spectacular merged image.
Image credit: NASA, ESA, CSA, STScI, J. DePasquale (STScI), A. Pagan (STScI), A. M. Koekemoer (STScI); CC BY 4.0
These photos sent back by @NASA_Orion are marvelous.
A camera carried by the craft is looking back at the Moon and Earth as the mission reaches its maximum distance of about 270k miles.
There's no one on board, but this is the furthest a spacecraft meant for humans has travelled from Earth.
Today in QEC on the arXiv
When running a quantum algorithm, not all qubits will have gates being applied to them at all times. Algorithms might even have qubits being idle 99% of the time.
In this paper they look at how to fix this. Given surface code blocks arranged in 2D, but with rare non-local connections between blocks, the idling time can be reduced dramatically.
As for exactly how, that will take more careful reading of this detailed paper.
On the track of interesting aspects to have in long papers to facilitate reading. One thing I will have in my PhD and it might be helpful for very long arXiv documents is the backflow from references to the main text where they were cited.
This might be achieved by using backref=page in the hyperref packedge. Example:
Understanding #Mastodon gets easier once you get the basic idea that federation between servers can be understood as homeomorphisms across hyperplanes between the Riemannian manifolds of toots, whereas the servers represent countable finite sets of discrete entities.
Everything we eat both causes and prevents cancer
I saw their post on Twitter first and came here to mention it when I saw they are now on Mastadon and I can boost the post here too 😂
A guide to Mastodon (for the folks like me who never became very familiar with Twitter)
At the moment, it does not look like it is possible to make your own list (Lists are important here, btw) using this CSV file, but you could follow the people here from settings.
Sorry if I've missed someone and will try to keep this updated.
Hope you find this useful :)
File Link: https://cutt.ly/6MnBTJ3
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