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Posts by Andreas Bluhm

Thanks to my collaborators for the great project!

3 weeks ago 0 0 0 0

We used the theory of robust self-testing to rigorously prove that routed Bell-tests can indeed be used to transfer the underlying optimization problem from the device-independent setting, where it is difficult to approximate, to the device-dependent setting, where it is much easier.

3 weeks ago 0 0 1 0
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Device independent quantum key distribution with robust self-tests Device-independent quantum key distribution (DIQKD) provides a model of quantum key distribution with minimal assumptions and highly abstract theoretical building blocks. Although DIQKD frees us from ...

New paper! This time, together with René Koßmann and René Schwonnek we looked into using routed Bell tests for device-independent quantum key distribution: scirate.com/arxiv/2603.2...

3 weeks ago 3 0 1 0
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We are very happy to share that Grenoble will host TQC, one of the most important quantum computing conferences, in 2027! Excited to welcome the community in the heart of the Alpes!
tqc-conference.org/2026/2027/

1 month ago 24 8 0 0

Thanks to Eric Evert, Igor Klep, Victor Magron and Ion Nechita for the interesting collaboration. I certainly learned a lot!

3 months ago 1 0 0 0

For this, we need to study different types of extreme points for matrix convex sets and uncover a surprising difference between real and complex matrix convex sets.

3 months ago 3 0 1 0
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Inclusion constants for free spectrahedra with applications to quantum incompatibility Building on the matrix cube problem, inclusions of free spectrahedra have been used successfully to obtain relaxations of hard spectrahedral inclusion problems. The quality of such a relaxation is qua...

Just in time for the holidays: We have a new paper out about how to use techniques from non-commutative polynomial optimization for measurement incompatibility: scirate.com/arxiv/2512.1...

3 months ago 6 0 1 0
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Learning Coulomb Potentials and Beyond with Fermions in Continuous Space We present a modular algorithm for learning external potentials in continuous-space free-fermion models including Coulomb potentials in any dimension. Compared to the lattice-based approaches, the con...

New preprint on Hamiltonian Learning of Coulomb potentials and smooth potentials in continuous space

arxiv.org/abs/2510.08471

Thanks to my collaborators, @hippoquantus.bsky.social , Tim Möbus, and Oliver Siebert!

6 months ago 3 1 0 0

A big thanks to my coauthors for the great collaboration! Hopefully you enjoy reading the paper as much as we did writing it, despite the approaching QIP deadline :)

7 months ago 1 0 0 0

Again, this result generalizes to k-local Hamiltonians for k>2. While the algorithm is sample- and time-efficient, we don't know if it is optimal, because we lack matching lower bounds so far. So we ask: What is the optimal sample-complexity of
certifying Ising Gibbs states?

7 months ago 1 0 1 0
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Some Recent Progress in Learning Theory: The Quantum Side

In our final result, we give an algorithm for certifying Ising Gibbs
states in trace norm that is both sample and time-efficient, thereby solving a question posed by Anshu hdsr.mitpress.mit.edu/pub/3x2sd8nq...

7 months ago 1 0 1 0

This one actually generalizes to k-local and does not need any additional assumptions (e.g. on the degree of the interaction graph). Whether one can find a better algorithm that is also time efficient is an interesting open problem.

7 months ago 1 0 1 0

Secondly, we design an algorithm for learning Ising Gibbs states in trace norm that is sample-efficient in all parameters. Previous approaches learned the underlying Hamiltonian (which implies learning the Gibbs state) but suffered from exponential sample complexity in the inverse temperature.

7 months ago 1 0 1 0

To our knowledge, this is the first nearly-optimal algorithm for testing a Hamiltonian property. A key ingredient in our analysis is the Bonami Lemma from Fourier analysis. Curiously, this Lemma is the reason that our results do not seem to easily generalize to k-local Hamiltonians for k>2.

7 months ago 1 0 1 0

First, we show that certifying an Ising Hamiltonian (checking whether it is identical to some H_0 or far from it) in
normalized Frobenius norm via access to its time-evolution operator requires only O(1/ε) evolution time. This matches the known lower bounds up to a logarithmic factor.

7 months ago 1 0 1 0
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Certifying and learning quantum Ising Hamiltonians In this work, we study the problems of certifying and learning quantum Ising Hamiltonians. Our main contributions are as follows: Certification of Ising Hamiltonians. We show that certifying an Ising ...

Happy to announce our new paper "Certifying and learning quantum Ising Hamiltonians" scirate.com/arxiv/2509.1..., together with Matthias C. Caro, Francisco Escudero Gutiérrez, Aadil Oufkir, and Cambyse Rouzé. We are focusing in this paper on 2-local Hamiltonians (so a bit more general than Ising).

7 months ago 14 0 1 0
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The QIP 2026 call for papers is out! QIP 2026 will be held in Riga, Latvia from January 24–30, 2026. See you there!
qip2026.lu.lv

8 months ago 28 15 0 1
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I am currently looking for a PhD student who would like to work on position-based cryptography. Details can be found here: andreasbluhm.eu/wp-content/u...

Please spread the word!

10 months ago 6 5 0 0

Thanks to Tim Möbus, Tuvia Gefen, Yu Tong, Albert H. Werner and Cambyse Rouzé for the great collaboration!

10 months ago 0 0 0 0

Our main technical tool is a new adiabatic approximation for general Lindbladian evolutions with unbounded generators which should also be helpful elsewhere. For example, we can quantify with it how photon-driven dissipation leads to an effective evolution on the code space for bosonic cat codes.

10 months ago 1 0 1 0
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Heisenberg-limited Hamiltonian learning for interacting bosons We develop a protocol for learning a class of interacting bosonic Hamiltonians from dynamics with Heisenberg-limited scaling. For Hamiltonians with an underlying bounded-degree graph structure, we can...

Before, we could either do Heisenberg-limited learning for Bose-Hubbard type models scirate.com/arxiv/2307.0..., or learn arbitrary Hamiltonians with engineered dissipation, but not with Heisenberg scaling scirate.com/arxiv/2307.1.... Our new paper shows that you can have the best of both worlds.

10 months ago 0 0 1 0
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Heisenberg-limited Hamiltonian learning continuous variable systems via engineered dissipation Discrete and continuous variables oftentimes require different treatments in many learning tasks. Identifying the Hamiltonian governing the evolution of a quantum system is a fundamental task in quant...

New day, new paper, this time on Heisenberg-limited Hamiltonian learning for continuous variable systems with engineered dissipation: scirate.com/arxiv/2506.0.... The idea is to use strong dissipation to restrict the Hamiltonian evolution onto a convenient subspace where we can learn it.

10 months ago 7 0 1 0

Thanks to my PhD student Simon Höfer, Alex May, Mikka Stasiuk, Philip Verduyn Lunel and @henryyuen.bsky.social for the great collaboration! And congratulations to Simon for his first paper.

10 months ago 3 0 0 0

In the longer term, our aim is to be able to put NLQC tasks into classes of equally hard problems, like complexity classes. This would allow us to identify the hard NLQC problems that we would like to use for quantum position verification, because they are hard for attackers to solve.

10 months ago 2 0 1 0
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In particular, we have shown that two protocols for quantum position verification, the f-route and the f-measure protocol, are equally secure, i.e., if you can attack one, you can attack the other. This gives the first subexponential upper bound on the entanglement needed to attack f-measure.

10 months ago 2 0 1 0
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A complexity theory for non-local quantum computation Non-local quantum computation (NLQC) replaces a local interaction between two systems with a single round of communication and shared entanglement. Despite many partial results, it is known that a cha...

We have a new preprint out on the topic of quantum position verification and non-local quantum computation (NLQC): scirate.com/arxiv/2505.2.... We are comparing different NLQC tasks and find reductions between them (in the sense of if I can do task 1, then I can do task 2 with an extra EPR pair).

10 months ago 7 1 1 1
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Liste des postes de chaires de professeur junior de CNRS Sciences informatiques 2025 Le CNRS recrute des chercheurs et chercheuses sur des Chaires de professeur junior (CPJ) dans plusieurs domaines relatifs aux sciences informatiques.

CNRS is opening a call for CPJ (chair de professeur junior), a kind of tenure track with very good conditions. One position is open for quantum computing, and one of the hosting labs is LIG in beautiful Grenoble! The application deadline is July 14th.

www.ins2i.cnrs.fr/fr/cnrsinfo/...

11 months ago 3 3 0 0

Thanks to my coauthors for the great collaboration!

11 months ago 0 0 0 0

To unite these different phenomena, we consider multimeters, i.e., collections of measurements. Many of them, e.g., compatible measurements, classical simulations of measurements, or the compression of measurements can be viewed as factorizations of these multimeters through different state spaces.

11 months ago 0 0 1 0
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Factorization of multimeters: a unified view on nonclassical quantum phenomena Quantum theory exhibits various nonclassical features, such as measurement incompatibility, contextuality, steering, and Bell nonlocality, which distinguish it from classical physics. These phenomena ...

If you are interested in quantum non-classicality, you might enjoy our new preprint: scirate.com/arxiv/2504.1.... In it, we use the framework of general probabilistic theories to connect different forms of non-classicality, in particular measurement incompatibility, steering, and Bell non-locality.

11 months ago 6 0 1 0