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Posts by Alexander Stottmeister

NASA Image and Video Library NASA Image and Video Library, serving up consolidated imagery and videos in one searchable location. Users can download content in multiple sizes and resolutions and see the metadata associated with images, including EXIF/camera data on many images.

The EXIF data for the image is all here

images.nasa.gov/details/art0...

2 weeks ago 75 4 5 2

Always has been.

3 weeks ago 2 0 0 0

I am surprised to see this and hope the arXiv stays nonprofit.

1 month ago 10 4 1 0
Uniqueness of Purifications Is Equivalent to Haag Duality The uniqueness of purifications of quantum states on a system $A$ up to local unitary transformations on a purifying system $B$ is central to quantum information theory. We show that, if the two syste...

Happy to see our paper Uniqueness of Purifications Is Equivalent to Haag Duality with @arrr.de and @stotti-alex.bsky.social published in PRL! 🥳

doi.org/10.1103/d7nm...

2 months ago 6 3 1 0
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Data sharing helps avoid “smoking gun” claims of topological milestones Manipulating the topology of electronic bands can realize new states of matter, with possible implications for information technology. A central question is how to tell whether a topological regime ha...

The rarest of sights - a big glossy journal publishing negative replications! Yes, we had to bundle 4 replications into one article AND we had to wait 2 (!!) years in peer review, but here we are:

www.science.org/doi/10.1126/...

3 months ago 59 19 3 5

The largest fundamental science agency in Europe will save €1.4 million annually by breaking free from Clavariate Analytics' huge databases of references and citations.

"We have worked for free to lock ourselves collectively into a paid system", one head of the CNRS explains - but no more! 🎉

4 months ago 10 3 0 0
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Pure State Entanglement and von Neumann Algebras - Communications in Mathematical Physics We develop the theory of local operations and classical communication (LOCC) for bipartite quantum systems represented by commuting von Neumann algebras. Our central result is the extension of Nielsen...

Happy to see that our paper on pure state entanglement and von Neumann algebras with @lvanluijk.bsky.social, @stotti-alex.bsky.social and Reinhard Werner is finally out in CMP 🥳

link.springer.com/article/10.1...

5 months ago 11 2 0 0

Even if you think you are not interested, you should take a look 😅.

6 months ago 2 0 0 0
A plastic sign with a logogram of two people in conversation alongisde text that reads "There are no lone geniuses"

A plastic sign with a logogram of two people in conversation alongisde text that reads "There are no lone geniuses"

Our new "There are no lone geniuses" sign mounted on the door to the lab.

Our new "There are no lone geniuses" sign mounted on the door to the lab.

I made a sign for the lab with our informal lab motto, inspired by this convo between @itaiyanai.bsky.social and Martin Lercher: nightscience.buzzsprout.com/1744020/epis.... A good reminder that talking is among the best forms of thinking!

6 months ago 38 6 1 1
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Ins eigene Fleisch: Warum Kürzungen an Hochschulen allen schaden von Amrei Bahr und Kristin Eichhorn

Sie ist da: Die 1. Ausgabe meines #ArbeitInDerWiss Newsletters bei Steady, wo der Newsletter ab jetzt 1 neues Zuhause hat! 🤩 & dann auch noch 1 gemeinsamer Text mit @drkeichhorn.bsky.social! 🥰 Es geht um Kürzungen an Hochschulen & warum es nun Solidarität mit Geistes- & Sozialwissenschaften braucht.

6 months ago 69 27 4 3

Indeed :)

7 months ago 2 0 0 0
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Gaussian fermionic embezzlement of entanglement Embezzlement of entanglement allows to extract arbitrary entangled states from a suitable embezzling state using only local operations while perturbing the resource state arbitrarily little. A natural...

Like embezzlement of entanglement but not von Neumann algebras?

Check out
arxiv.org/abs/2509.15749

where we show explicitly that generic Gaussian fermionic states provide universal embezzling families.

Plus: A novel bound relating trace distance of Gaussian states to their covariance matrices.

7 months ago 9 2 1 0
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Uniqueness of purifications is equivalent to Haag duality The uniqueness of purifications of quantum states on a system $A$ up to local unitary transformations on a purifying system $B$ is central to quantum information theory. We show that, if the two syste...

New paper on entanglement in infinite quantum systems with @stotti-alex.bsky.social @arrr.de 🎉: 

arxiv.org/abs/2509.12911

The paper investigates bipartitions of quantum systems with infinitely many degrees of freedom. Small thread below 👇

7 months ago 14 2 1 0

🥳I am very happy to have been awarded an ERC Starting Grant that I will use to start my own group and explore the large-scale entanglement properties of complex quantum systems.

This would not have been possible without my fantastic collaborators and supervisors. A big "thank you" to all of you! 🙏

7 months ago 28 3 3 0
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I’m an award-winning mathematician. Trump just cut my funding. The “Mozart of Math” tried to stay out of politics. Then it came for his research.

I wrote an op-ed on the world-class STEM research ecosystem in the United States, and how this ecosystem is now under attack on multiple fronts by the current administration: newsletter.ofthebrave.org/p/im-an-awar...

8 months ago 792 325 21 32
Terence Tao (@tao@mathstodon.xyz) The current administration in the US has, through various funding agencies such as the NSF and NIH, has recently suspended virtually all federal grants to my home university, UCLA (including my own p...

I have some related posts on this at mathstodon.xyz/@tao/1149568... and mathstodon.xyz/deck/@tao/11...

8 months ago 38 6 0 0

#IPAM (the institute for pure and applied mathematics) is facing a critical shortfall for operating expenses due to an unexpected suspension of NSF funding www.ipam.ucla.edu/news/nsf-fun... . Donations for emergency continuity of operations funding can be made at

giving.ucla.edu/Campaign/Donat

8 months ago 128 39 5 7

If you find it strange that the inequality involves two arbitrary states, operator-valued weights come to your aid, giving meaning to the inverse of a state. This way, the inequality becomes a statement about the cp-odering of maps from B(H) to the subalgebras associated with systems B and BC.

8 months ago 4 0 0 0
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An inequality between density operators: \rho_A \otimes \sigma_{BC}^{-1} \geq \rho_{AB} \otimes \sigma_C^{-1}

An inequality between density operators: \rho_A \otimes \sigma_{BC}^{-1} \geq \rho_{AB} \otimes \sigma_C^{-1}

Small paper w/ @lvanluijk.bsky.social and @stotti-alex.bsky.social: We revisit the amazing operator inequality by Lin et al. (arXiv:2211.13372), which implies strong sub-additivity of entropy and find that it's a special case of Connes' theory of spatial derivatives:

arxiv.org/abs/2508.03731

8 months ago 16 2 1 2
Terence Tao (@tao@mathstodon.xyz) The current administration in the US has, through various funding agencies such as the NSF and NIH, has recently suspended virtually all federal grants to my home university, UCLA (including my own p...

Terence Tao (@teorth.bsky.social) has written a thread on Mastodon about the impact of the federal grant freeze to UCLA, particularly to his own field of Mathematics. UCLA's IPAM (Institute of Pure and Applied Mathematics) could shut down entirely

mathstodon.xyz/@tao/1149568...

8 months ago 291 134 3 15
NSF Award Search: Award # 2347850 Structure theory for measure-preserving systems, additive combinatorics, and correlations of multiplicative functions

For the math folks on here: NSF has suspended Terry Tao's grant. www.nsf.gov/awardsearch/...

8 months ago 277 121 9 38
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Multipartite Embezzlement of Entanglement Lauritz van Luijk, Alexander Stottmeister, and Henrik Wilming, Quantum 9, 1818 (2025). Embezzlement of entanglement refers to the task of extracting entanglement from an entanglement resource via loca...

Happy to see that our paper on multipartite embezzlement with @lvanluijk.bsky.social and @stotti-alex.bsky.social is finally out in @quantum-journal.bsky.social

quantum-journal.org/papers/q-202...

8 months ago 15 3 0 0
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Math Is Quietly in Crisis over NSF Funding Cuts A 72 percent reduction in federal funding is devastating to math research. The American Mathematical Society is offering $1 million in backstop grants—but it’s likely not enough

The devastating funding cuts to mathematics research in the US will cut-short the careers of a generation of mathematicians. It really is disgraceful, and unbelievably shortsighted. #MathSky
www.scientificamerican.com/article/can-...

8 months ago 17 9 1 0
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Henrik will soon talk about entanglement in the thermodynamic limit at LUH :).

9 months ago 7 3 0 0

Are you a student or early-career researcher in quantum computing or quantum information? Then the following is for you.

We're organising a focused, community-driven conference at Leibniz Universität Hannover, hosted by Prof. Robert Raussendorf.

🗓️ Save the date: August 27–29, 2025

9 months ago 9 5 1 1
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don't despair! there is still quantum...

9 months ago 11 2 1 0

🙏

9 months ago 0 0 0 0
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Finding Peter Putnam The forgotten janitor who discovered the logic of the mind

Science writer Amanda Gefter spent more than a decade tracking down the people who knew him, and diving into a vast store of his unpublished work and private papers.

A long read, but fascinating and moving.

Link: nautil.us/finding-pete...

9 months ago 13 7 4 4
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Universal embezzlers naturally emerge in critical fermion systems, study finds Embezzlement of entanglement is an exotic phenomenon in quantum information science, describing the possibility of extracting entanglement from a resource system without changing its quantum state. In...

Thanks to @phys.org.web.brid.gy for covering our recent work with @stotti-alex.bsky.social and @lvanluijk.bsky.social on embezzlement of entanglement in critical systems:

phys.org/news/2025-06...

Paper: www.nature.com/articles/s41...

9 months ago 11 4 0 0
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38th BTM The meeting will begin on Tuesday 9th September at 13:00 and will close around noon on Thursday 11th September. All talks will be held in Abacws.

Cardiff is hosting the 38th British Topology Meeting from 9th - 11th September 2025. The registration is now open! Come along if you are looking for some interesting talks about all things topological. Details can be found here: sites.google.com/view/btm38 #MathSky #topology #AcademicSky

10 months ago 5 3 1 1