Marius Lemm

With extraordinary colleagues, we are developing new architectures for neutral-atom quantum processors that dramatically reduce the resource estimates for fault-tolerant quantum computing. This progress makes me optimistic that broadly useful quantum computing will soon be a reality. We’ll continue fundamental research @Caltech to advance quantum science and technology, while building fault-tolerant quantum machines and exploring their applications @TeamOratomic. It’s a very exciting time to be a quantum scientist! caltech.edu/about/news/cal…

Don Knuth! Ok, starting to get surreal “Shock! Shock! I learned yesterday that an open problem I’d been working on for several weeks had just been solved by Claude Opus 4.6 — Anthropic’s hybrid reasoning model that had been released three weeks earlier! It seems that I’ll have to revise my opinions about “generative AI” one of these days. What a joy it is to learn not only that my conjecture has a nice solution but also to celebrate this dramatic advance in automatic deduction and creative problem solving. I’ll try to tell the story briefly in this note.” www-cs-faculty.stanford.edu/~knuth/papers/…

The Simons Foundation has put their treasure trove of videos on YouTube (they’ve been available for a decade from the Simons website, but I kept begging them to move it to a platform with many more eyeballs…). Here’s Eli Stein interviewed by Charlie Fefferman: youtube.com/watch?v=pWOU-c… And Rutgers’s @RutgersU own Endre Szemeredi (interviewed by Avi Wigderson): youtube.com/watch?v=_ZQ4aB… And Ron Graham (here talking about Math+AI, from a decade ago): youtube.com/watch?v=fHrply… And lots of Gromov, e.g.: youtube.com/watch?v=aI2ASq… Sorry for wasting the next few hours of your life, but it will have been well worth it to watch these!!

The 2026 Leroy P. Steele Prize for Seminal Contribution to Research is awarded to László Erdős, Benjamin Schlein, and Horng-Tzer Yau for their series of three papers. Read more. Link in comments.

Still a couple of weeks left to apply for a tenure-track position @EPFL in theory of condensed matter and interacting quantum matter. Great conditions and environment, take a look: epfl.ch/about/working/…

Are the dynamics of disordered quantum systems easier to simulate? --> Yes, because entanglement spreads slowly for a non-perturbatively long time (a.k.a. "prethermal MBL") in any dimension. arxiv.org/pdf/2510.11831 Thanks to my collaborators Ben McDonough and Andy Lucas!

New preprint on Hamiltonian Learning of Coulomb potentials and smooth potentials in continuous space arxiv.org/abs/2510.08471 Thanks to my collaborators, Andreas Bluhm, Tim Möbus, and Oliver Siebert!

New preprint with Nick Hunter-Jones arxiv.org/pdf/2509.22438 Is a typical translation-invariant Hamiltonian gapped or gapless? --> We prove that for random rank-1 interactions on a bounded-degree graph, the Hamiltonian is *gapped* with high probability at large local dim.

Horng-Tzer Yau has spent decades studying the interplay of randomness and order in matrices. In 2008, Jun Yin, a former physicist, joined Yau’s group. In spring of 2024, the pair made the biggest advance on the problem since the 1980s. quantamagazine.org/new-physics-in…

Open position in Tübingen! Assistant Professor of Mathematical Quantum Theory (non tenure-track, up to 6 years) Deadline is September 30, 2025. More info including how to apply: mathjobs.org/jobs/list/26868 The last person to hold this position was the formidable @AngelaCapelC

🔥 @GoogleDeepMind just dropped their "formal conjectures" project - formalizing statements of math's biggest unsolved mysteries in #LeanLang and #Mathlib! This Google-backed project is a HUGE step toward developing "a much richer dataset of formalized conjectures", valuable for benchmarks and growing the Lean ecosystem. The project was open sourced today! And you can be part of it! Check it out: github.com/google-deepmin… #LeanProver #FormalMath #AIResearch #GoogleDeepMind

This year, the fall meeting of the German Physical Society celebrates 100 years of quantum theory quantum25.dpg-tagungen.de Göttingen, September 8-12 The deadline for abstract submission is this Saturday, May 31.

New preprint with Carla Rubiliani and Jingxuan Zhang "On the quantum dynamics of long-ranged Bose-Hubbard Hamiltonians" arxiv.org/abs/2505.01786 We prove that the speed of boson propagation is bounded under the optimal long-range condition (for power law exponent \alpha>d+1)

Until recently, we thought that transporting a macroscopic cloud of particles a distance r in time t is suppressed by the usual LR-type light cone exp(vt-r) Turns out, the decay rate is proportional to the number of transported particles N exp(N(vt-r)) arxiv.org/abs/2503.19788

There sure are a lot of galaxies out there!

QMATH16 (1-5 September 2025) The conference series "Mathematical Results in Quantum Theory" brings together people interested in the mathematical theory of quantum mechanics. QMATH16 takes place at the Technical University of Munich. sites.google.com/view/qmath16/h…

If you're an undergraduate student interested in the mathematics of quantum physics and general relativity, consider the Tübingen International M.Sc. Program in #MathematicalPhysics math.uni-tuebingen.de/en/mmp Opens for applications today

Terry Tao was in town last week, and gave a talk at the Simons Foundation on "Machine Assisted Proofs". The video is available here: youtube.com/watch?v=5ZIIGL…

Had an amazing week at our Oberwolfach Mini-Workshop "New Directions in Correlated Quantum Systems" Huge thanks to our enthusiastic participants from both mathematics & physics!

Uhlmann's theorem states that the fidelity of two states rho and sigma can be expressed in terms of their purifications (where the fidelity simplifies). In arxiv.org/abs/2502.01749 we (with @giulia_qp and Renato Renner) generalize Uhlmann's theorem to Rényi relative entropies.