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Manuel Rudolph

@quantummanuel.bsky.social
676 followers 172 following 48 posts

PhD Candidate in Physics @EPFL 🇨🇭 I like simulating quantum computers 💻

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Manuel Rudolph @quantummanuel.bsky.social · 05/02/2026
Look at the pretty plots we got simulating (very) high temperature, strongly interacting fermions in the Fermi-Hubbard model with 74 Majorana modes. We start observing spin-spin correlations on triangular lattices, but we currently cannot reach the regime in which we would expect frustration.
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Manuel Rudolph @quantummanuel.bsky.social · 05/02/2026
We show how the number of Pauli operators grows as a function of beta and for different truncation thresholds in a J1-J2 Hamiltonian chain. With some code innovations, we can quickly generate billions of Paulis (and then run out of memory). High temperature states remain tracktable.
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Manuel Rudolph @quantummanuel.bsky.social · 05/02/2026
We provide error bounds on coefficient truncation and Pauli weight/ Majorana length truncation as a function of the inverse temperature beta. I'm a simple man. Here is my simple summary. Small beta: Good Large beta: Bad Ask @aangrisani.bsky.social and @pvricard.bsky.social for details.
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Manuel Rudolph @quantummanuel.bsky.social · 05/02/2026
The infinite-temerature / maximally mixed state is representable by a single operator, the identity. We define the action of imaginary time evolution, and show that we can efficiently simulate high temperature states.
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Manuel Rudolph @quantummanuel.bsky.social · 05/02/2026
Did you know you can simulate quantum states with Pauli and Majorana propagation? In short: High-temperature states are provably and practically sparse, and we can use imaginary time evolution to get there starting from the infinite-temperature state. scirate.com/arxiv/2602.0...
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Manuel Rudolph @quantummanuel.bsky.social · 16/07/2025
Particularly interesting to us was witnessing how slowly loop correlations build up in heavy-hex processors. Loop correlations are what make loopy networks potentially significantly harder to use than loop-free MPS and tree-tensor networks.
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Manuel Rudolph @quantummanuel.bsky.social · 16/07/2025
We also introduce a bunch of metrics to certify that the samples are of high-quality. This way, we verified that we solved the biggest circuit in IBM's recent quantum chemistry experiment to numerical precision.
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Manuel Rudolph @quantummanuel.bsky.social · 16/07/2025
We combine some existing ideas with ITensorNetworks.jl and @joeytindall.bsky.social's flexible boundary MPS code to adapt to any planar geometry. With our open-source (but not completely polished) software, you can start simulating and sampling 2D circuits today: github.com/JoeyT1994/Te...
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Manuel Rudolph @quantummanuel.bsky.social · 16/07/2025
In case you thought you can't efficiently simulate and sample quantum circuits with 2D tensor networks... Nope, you can. Link: scirate.com/arxiv/2507.1... We simulate IBM's recent quantum chemistry experiments and Williow + heavy-hex Heisenberg dynamics, and showcase modern, verifiable techniques.
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Manuel Rudolph @quantummanuel.bsky.social · 07/07/2025
I don't see any reason why not every circuit executed on hardware should be compressed. The approach can also be used to re-compile into a different gate set or topology. Classical simulation is not just here to compete with quantum devices.
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Manuel Rudolph @quantummanuel.bsky.social · 07/07/2025
Last week, we published a paper that really excites me: "Circuit compression for 2D quantum dynamics" Using Pauli propagation, we (Matteo) were able to compress Trotter circuits for systems up to 30x30 with depth reductions of x2 to x13. Link: arxiv.org/abs/2507.01883
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Manuel Rudolph @quantummanuel.bsky.social · 29/05/2025
This paper was meant to go live yesterday (still love you arXiv), but who doesn't scroll social media on a holiday 💁 Thanks to my amazing group and co-authors Tyson Jones, Yanting Teng (@yteng.bsky.social), Armando Angrisani (@aangrisani.bsky.social), and Zoë Holmes (@qzoeholmes.bsky.social)!
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Manuel Rudolph @quantummanuel.bsky.social · 29/05/2025
Pauli propagation is naturally interfaced with both quantum computers and other classical simulation methods - the perfect team player! I love improving classical algorithms for simulating quantum computations, and I truly believe performant classical methods are good for everyone.
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Manuel Rudolph @quantummanuel.bsky.social · 29/05/2025
This "compact" 30-page main text manuscript summarizes much of what we have learned about Pauli propagation (PP) and where its strengths lie. From the general framework description, over theoretical guarantees, to the nitty-gritty implementation details that you are happy to not have to deal with.
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Manuel Rudolph @quantummanuel.bsky.social · 29/05/2025
❗New paper and open-source library❗ PauliPropagation.jl is your go-to library for simulating quantum circuits via Pauli propagation. Our paper provides a thorough overview of this new classical simulation method. Paper: scirate.com/arxiv/2505.21606 Library: github.com/MSRudolph/PauliPropagation.jl
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Manuel Rudolph @quantummanuel.bsky.social · 28/05/2025
UnitaryHACK 2025 has begun - and we are part of it! If you are registered, earn real money by closing GitHub issues in our new library PauliPropagation.jl (github.com/MSRudolph/PauliPropagation.jl). We were supposed to have a nice and "compact" paper out today, but the arXiv gods were not with us.
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Manuel Rudolph @quantummanuel.bsky.social · 02/12/2024
Our Pauli propagation code can always simulate at least some part of the quantum circuit, and then be patched up with a quantum device. Even on its own, our classical algorithm can accurately simulate 127-qubit problems in seconds, outperforming most modern quantum hardware.
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Manuel Rudolph @quantummanuel.bsky.social · 02/12/2024
A quantum device might be initially needed to collect measurements, followed by classical simulation. Depending on the problem, the quantum device needs to run more or less complicated circuits (or none at all). We give average-case and worst-case guarantees for both the classical and quantum side.
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Manuel Rudolph @quantummanuel.bsky.social · 02/12/2024
Kicking off my existence on this platform with a paper release 🔥 We propose a framework for the quantum-enhanced classical simulation of small expectation landscape "patches". In short: You can do more classically than you might have thought. scirate.com/arxiv/2411.1... #quantum
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