🚨Applications for LANL's 2025 Quantum Computing Summer School are open!. Please apply here.👇. Reposts appreciated!.

This week is my 10 year anniversary of my first paper posted to arxiv, holy cow, how time flies!!

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Huge propos to my co-authors Andy Deneris, @TheImPolster , @BermeQP , @Nahuel_L_Diaz and @QuAntonioMele.

We only scratched the surface of a cross-examination of a state’s resourcefulness, but our work revealed that resource is truly in the eye of the (QRT) beholder!.

I can't really elaborate more than what the title already says, we take free states of one theory, we see how resourceful they are in another one. Its a simple idea which leads to cool results, and the paper is packed with Haar integrals and numerics!

We recently posted 2 works on quantum resource theories: . 👂Huh? Yall want more? We got you covered with a NEW work. Analyzing the free states of one quantum resource theory as resource states of another.

Also, pretty pictures are pretty

I am incredibly excited by this paper!. We believe it opens up some interesting new directions to study resource non-increasing channels in quantum resource theories!

RT @ksdb_phys: 🆕Our work makes a fundamental connection between the phases of matter to expressivity and scalability of analog Variational….

Huge thanks to my co-authors @BermeQP , @TheImPolster, @QuAntonioMele , @Nahuel_L_Diaz , A. Deneris and @MartinLaroo.

Bonus: certain small-irrep purities act as resourcefulness witnesses (they peak only for free states), and truncating high-irrep components leads to notions of state compressibility—think quantum data compression! 🗜️. Indeed, low resource state are VERY compressible!.

We test universality across quantum resource theories: entanglement (bi- & multipartite), fermionic Gaussianity, spin coherence & Clifford stabilizerness—no resource theory left behind! 🌐. Across all of these we find:. Low/high resource = live in small/high dimensional irreps.

Central to our framework are GFD purities—the norms of those projections. They reveal a spectrum: low-resource states live in small-dimensional irreps, while high-resource states spread into more & higher-dimensional irreps, mirroring classical harmonic analysis.

We introduce 👉group-Fourier decompositions (GFDs)👈 for quantum resource theories: projecting pure states onto the irreducible representations of the free-operation group to fingerprint resourcefulness & complexity.

🚨Excited to share our new paper Characterizing quantum resourcefulness via group-Fourier decompositions from last year's LANL Quantum Computing summer School📘 !

This was a super fun paper to work on, with some ➡️ very surprising results!. Huge props to all co-authors but especially to superstars first and last authors Max West and @MartinLaroo !!.

RT @Isaac__kim: I've been sitting on this result for some time because it seemed too crazy to be true. I really hope I didn't make any stup….

Since last year Xanadu has been working with us during our summer school!. I am extremely grateful for the Xanadu mentor's time and so proud of all the awesome work being done in this collaboration! . Huge thanks to @PennyLaneAI !.

I will be in Madrid in Sept 15 to 19th for the Entangle This VI Conference!. Given that I'll be traveling across the pond I'd love to take that opportunity to visit some other local group in Spain! . Let me know if you're interested and I can plan a trip :)

This is an extremely cool paper from our summer school! If you missed it, and want the tldr, LANL recently put out a press release on our work!!. Again, huge props to my co authors @alicewithoutbob, @sornborg @MartinLaroo @DiegoGM_quantum!.

Extremely proud to see this Quantum Computing Summer School paper published. The paper showcases our student Aroosa , but also our former school student @Matt_L_Goh as the last author! I am super proud to see Matt grow so much as a scientist!.