The Matter Lab
@thematterlab.bsky.social
450 followers 2 following 150 posts
The materials for tomorrow, today. We are the Matter Lab at the University of Toronto, led by Professor Alán Aspuru-Guzik. Our group works at the interface of theoretical chemistry with physics, computer science, and applied mathematics.
Posts Media Videos Starter Packs
thematterlab.bsky.social
Even better, our Hessian readout head is simple and can be added to any of your favorite equivariant MLIPs ✅

The brilliant team:
@andreasburger.bsky.social, Luca Thiede, Nikolaj Rønne, @variniabernales.bsky.social, Nandita Vijaykumar, @tvegge.bsky.social, Arghya Bhowmik, @aspuru.bsky.social
[4/4]
thematterlab.bsky.social
Compared to MLIPs with autograd, we achieve:

➡️ 2x lower error
➡️ 70x faster inference, more efficient parallelism, and better scaling with system size ⚡
➡️ Consistently higher success rates on all downstream tasks
[3/4]
thematterlab.bsky.social
What do transition state search, geometry relaxation, zero point energy corrections, and extrema classification have in common? They all require Hessians!

The problem is, accurate Hessians are really expensive, even with MLIPs. We say, just shoot 'em from the HIP! 🤠
[1/4]
thematterlab.bsky.social
Kudos to authors: Danial Motlagh, Robert A. Lang, Paarth Jain, @ja-camga.bsky.social, William Maxwell, Tao Zeng, @aspuru.bsky.social, and Juan Miguel Arrazola.
[8/8]
thematterlab.bsky.social
- Resource estimates for anthracene-based chromophores highlight the path toward quantum-enabled discovery of new singlet fission materials.
[7/8]
thematterlab.bsky.social
- Key observables such as electronic state populations can be extracted simply by measuring the electronic register, bypassing the input–output bottleneck common in many quantum algorithms.
[6/8]
thematterlab.bsky.social
🔬 Highlights:

- Proof-of-principle simulations show that realistic vibronic models of exciton transport and charge transfer can be tackled with feasible quantum resources.
[5/8]
thematterlab.bsky.social
- Materials discovery pipeline — demonstrated how our algorithm integrates into computational workflows for singlet fission solar cells, a next-generation photovoltaic technology that can double exciton yield and potentially surpass the Shockley–Queisser limit.
[4/8]
thematterlab.bsky.social
- Algorithmic optimizations — introduced caching and block-diagonalization techniques that dramatically reduce the cost of exponentiating vibronic operators, making simulations more efficient.
[3/8]
thematterlab.bsky.social
🚀What we achieved:

- General vibronic dynamics — developed the first trotterization scheme for vibronic Hamiltonians with more than two electronic states, enabling scalable simulation of ultrafast non-adiabatic processes.
[2/8]
thematterlab.bsky.social
Excited to share our new article: “Quantum algorithm for vibronic dynamics: case study on singlet fission solar cell design”, now published in Quantum Science and Technology!

📜 Paper: doi.org/10.1088/2058...
📝 Blog post overview: pennylane.ai/blog/2025/02...

[1/8]
thematterlab.bsky.social
A big thank you to the authors: Jonas Elsborg, Luca Thiede, @aspuru.bsky.social, @tvegge.bsky.social, and Arghya Bhowmik.
[6/6]
thematterlab.bsky.social
💡Technical tidbit: To make this work, we had to carefully break the symmetry of the equivariant network; otherwise, "local" reflection symmetries constrain the network’s expressivity too much.
[5/6]
thematterlab.bsky.social
When used to initialize plane-wave DFT, our densities reduce the number of SCF cycles by an average of 50.7% on the QM9 dataset compared to standard initialization.
[4/6]
thematterlab.bsky.social
- Compared to previous models that represent charge densities using atom-centered spherical harmonics-based orbitals, our floating Gaussians are much more efficient to evaluate, yielding a 10x speedup at similar or better accuracy compared to the previous state of the art.
[3/6]
thematterlab.bsky.social
Electra is a machine learning model for charge density prediction.

- Inspired by the incredible efficiency of Gaussian splatting, we represent the density as a mixture of "floating" Gaussians.
- Then, an equivariant graph network predicts the Gaussians' parameters.
[2/6]
thematterlab.bsky.social
We're extremely happy to share that our paper, ⭐ELECTRA: A Cartesian Network for 3D Charge Density Prediction with Floating Orbitals⭐, was accepted to NeurIPS 2025 as a spotlight paper.

Link to preprint: arxiv.org/abs/2503.08305
[1/6]
thematterlab.bsky.social
Collaboration with Raul Ortega Ochoa (DTU), @realmantilla.bsky.social (UofT), Juan Bernardo Pérez Sánchez (UofT), Mohsen Bagherimehrab (UofT), @an-aldossary.bsky.social (UofT), @tvegge.bsky.social (DTU), Tonio Buonassisi (MIT), and @aspuru.bsky.social (UofT)
[5/5]
thematterlab.bsky.social
➡️ Deep tomography — a hypothesis claiming that latent vectors should be informationally-equivalent to k-RDMs and should be limited by the N-representability problem
➡️ Outlook — future paths for better data and benchmarking for foundation models in chemistry.
[4/5]
thematterlab.bsky.social
They act as compressed surrogates of quantum states, enabling generalization across chemistry.

What’s inside?
➡️ Bridging ideas — connects concepts from quantum state tomography and the platonic hypothesis in representation learning.
[3/5]
thematterlab.bsky.social
We propose the Deep Tomography Hypothesis: Large ML models trained on informationally-complete molecular properties will learn latent representations that are informationally equivalent to reduced quantum density matrices.
[2/5]
thematterlab.bsky.social
🎉Excited to share our new perspective: “Connecting the concepts of quantum state tomography and molecular representations for machine learning” — now on ChemRxiv!

Link: doi.org/10.26434/che...

[1/5]
thematterlab.bsky.social
and many more who have contributed to our lab’s vibrant science and community.

¡Viva Latinoamérica!
[3/3]
thematterlab.bsky.social
We also wish a happy Hispanic Heritage Month to current and recent members with Latin American roots, including Luis Calderon, Irene Zuniga, Juan Perez, Jorge Arturo Campos Gonzalez Angulo, Maria Luiza Linazzi Peracchi, Jesus Valdes, Andres Guzman Cordero, Ignacio Gustin, Manuel Drehwald -
[2/3]