Marco Cerezo

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

forgot @nahuelldiaz.bsky.social on the list above #Shame

Hey Mark! Great question, we jump from local unitaries to SLOCC, as those are based on underlying Lie groups.

To be honest I have always found LOCC extremely confusion (separable a little less so), but making the leap of faith straight to SLOCC was the saving grace for us.

Huge propos to my co-authors Andy Deneris, Paolo Braccia, Pablo Bermejo and @antonioannamele.bsky.social !

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!

Characterizing quantum resourcefulness via group-Fourier decompositions In this work we present a general framework for studying the resourcefulness in pure states for quantum resource theories (QRTs) whose free operations arise from the unitary representation of a group....

We recently posted 2 works on quantum resource theories: arxiv.org/abs/2506.19696, arxiv.org/abs/2507.10851

👂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

arxiv.org/abs/2507.11793

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!

So What Do We Know QC To Be Good For?
- Simulating quantum physics and chemistry
- Breaking current public-key encryption (RSA, DH, ECC)
- Eventually, modest (square-root) speedups from Grover
- We’ll have to get lucky for most other applications!
(The world has been systemically lied to about this)

Huge thanks to my co-authors Pablo Bermejo, Paolo Braccia, @antonioannamele.bsky.social , @nahuelldiaz.bsky.social, Andrew E. Deneris and Martin Larocca

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.

Characterizing quantum resourcefulness via group-Fourier decompositions In this work we present a general framework for studying the resourcefulness in pure states for quantum resource theories (QRTs) whose free operations arise from the unitary representation of a group....

🚨Excited to share our new paper "Characterizing quantum resourcefulness via group-Fourier decompositions" from last year's LANL Quantum Computing summer School📘 arxiv.org/abs/2506.19696 !

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!!

www.lanl.gov/media/news/0...

Again, huge props to my co authors!

Optimal Haar random fermionic linear optics circuits Sampling unitary Fermionic Linear Optics (FLO), or matchgate circuits, has become a fundamental tool in quantum information. Such capability enables a large number of applications ranging from randomi...

New paper out!! 🎉🎉

"Optimal Haar random fermionic linear optics circuits"

Super fun collaboration with @impolster.bsky.social @nahuelldiaz.bsky.social @martinlaroo.bsky.social and @mvscerezo.bsky.social !

Thread 👇

arxiv.org/abs/2505.24212

Extremely proud to see this Quantum Computing Summer School paper published. The paper shocases our student Aroosa, but also our former school students @matt-goh.bsky.social as the last author! I am super happy to see Matt grow so much as a scientist!!

Thanks Norman!!

Huge thanks to my co-authors Martin Larocca, Supanut Thanasilp, @samson-wang.bsky.social @kunalq.bsky.social Jacob Biamonte, Patrick Coles, Lukasz Cincio, Jarrod McClean and @qzoeholmes.bsky.social !

Barren plateaus in variational quantum computing - Nature Reviews Physics Barren plateaus are widely considered as one of the main limitations for variational quantum algorithms. This Review summarizes the latest understandings of barren plateaus, indicating its causes, arc...

🎉I am very happy to see our Barren Plateau Review published in Nature Review Physics. This article condenses 6 years of our LANL work, but also so many amazing papers by the community!!

Check it here 👇

www.nature.com/articles/s42...

I am extremely happy to see this summer school paper by @alicewithoutbob.bsky.social being published in PRL!

It's also my postdoc @dgarciamartin.bsky.social first last author paper and I couldn't be prouder of the amazing work he does!!

#DnD!

Another amazing paper from our Summer School student @antonioannamele.bsky.social (is that 3 papers already?!) and from our collaboration with the power house that are @aangrisani.bsky.social and @quantummanuel.bsky.social, from @qzoeholmes.bsky.social! 's incredible group.

arxiv.org/abs/2501.13101

New PhD/PostDoc positions in Machine Learning for Quantum Computing and Simulation of Quantum Matter:
dobrautz.github.io/jobs/postdoc...
dobrautz.github.io/jobs/phd/cas...

Sharing and endorsing would be really appreciated <3

@hzdr.bsky.social @scadsai.bsky.social @tudresden.bsky.social

What's the aspect of quantum that leads to this conclusion? If I might ask!

Thanks for sharing!

@dulwichquantum.bsky.social this is your chance to write a perspective article :P (and of course, send it to us)