@Colinvparker @elilevensonfalk that's where my skepticism of this result lies, i.e. the number of times you have to sample grows too fast to be useful/show advantage

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.

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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

arxiv.org/abs/2212.12372

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!

@EricAspling I'd say neither. They are distinct disciplines for which insights in either discipline are sometimes useful/relevant to the other

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.
esa.int/ESA_Multimedia/Images/

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.

flickr.com/photos/nasa2explore

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.

arxiv.org/abs/2211.15465
#qec #quantum

A mesmerizing timelapse of the Sun in ultraviolet light, captured by the SDO spacecraft over the course of a month.

Credit: NASA/SDO
#sun #nasa #space #astronomy

Two MastCam-Z shots from the Mars Perseverance Rover taken yesterday on Sol 625. They are part of a multispectral observation of the outcrops.

NASA/JPL-Caltech/ASU/Kevin M. Gill

#Mars #Mars2020 #Space #Science #Astrodon

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:

\usepackage[colorlinks=true,citecolor=blue,linkcolor=blue,backref=page]{hyperref}

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.

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 😂

Victor V. Albert  
What better way for the @eczoo to start a new life here than with a post about QEC doing its job!
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