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Lauritz van Luijk

@lvanluijk.bsky.social

15 Posts256 Follower146 Folgt
Dulwich Quantum Computing@dulwichquantum.bsky.social · 2d ago

New system: 1. A week before QIP deadline the program committee publishes the titles of all accepted papers. 2. Everyone prompts LLMs for a week to produce these papers. 3. For each title, the best paper gets accepted (decided by an LLM). 4. This week's QIP is over and another QIP happens next week.

Henry Yuen@henryyuen.bsky.social · 4d ago

Some initial thoughts, and a complicated mix of feelings. Wow. I mean, Erdos problems are cool (I genuinely mean that), I didn't know about the Jacobian conjecture before it got disproved. But this newest batch from OpenAI hits home in a way the previous announcements did not.

Henrik Wilming@arrr.de · 9mo ago

Happy to see that our paper on pure state entanglement and von Neumann algebras with @lvanluijk.bsky.social, @stotti-alex.bsky.social and Reinhard Werner is finally out in CMP 🥳 link.springer.com/article/10.1...

Pure State Entanglement and von Neumann Algebras - Communications in Mathematical Physics

We develop the theory of local operations and classical communication (LOCC) for bipartite quantum systems represented by commuting von Neumann algebras. Our central result is the extension of Nielsen...

link.springer.com

Lauritz van Luijk@lvanluijk.bsky.social · 10mo ago

Interested in entanglement theory for systems with infinitely many degrees of freedom? Take a look at my PhD thesis, now available on the arXiv 🥳 arxiv.org/abs/2510.07563

Entanglement in von Neumann Algebraic Quantum Information Theory

In quantum systems with infinitely many degrees of freedom, states can be infinitely entangled across a pair of subsystems, but are there different forms of infinite entanglement? To understand entang...

arxiv.org

Henrik Wilming@arrr.de · 10mo ago

Inclined to send around a mail to everyone: Dear colleagues, friends and family, due to the consequences of QIP's post-submission-arXiv-posting-deadline you won't see or hear from me in the next two weeks while I try to catch up with the literature. Thanks for your understanding.

Lauritz van Luijk@lvanluijk.bsky.social · 10mo ago

The Trotter product formula has countless applications from quantum simulation to numerical analysis—but sharp error bounds, especially for unbounded Hamiltonians, are often hard. We prove new state-dependent bounds and apply them to Schrödinger, Dirac and Coulomb dynamics: doi.org/10.1007/s102...

Convergence Rates for the Trotter Splitting for Unbounded Operators - Foundations of Computational Mathematics

We study convergence rates of the Trotter splitting $$\begin{aligned} e^{A+L} = \lim _{n \rightarrow \infty } \Big (e^{L/n} e^{A/n}\Big )^n \end{aligned}$$ e A + L = lim n → ∞ ( e L / n e A / n ) n in the strong operator topology. In the first part, we use complex interpolation theory to treat generators L and A of contraction semigroups on Banach spaces, with L relatively A-bounded. In the second part, we study unitary dynamics on Hilbert spaces and develop a new technique based on the concept of energy constraints. Our results provide a complete picture of the convergence rates for the Trotter splitting for all common types of Schrödinger and Dirac operators, including singular, confining and magnetic vector potentials, as well as molecular many-body Hamiltonians in dimension $$d=3$$ d = 3 . Using the Brezis-Mironescu inequality, we derive convergence rates for the Schrödinger operator with $$V(x)=\pm |x|^{-a}$$ V ( x ) = ± | x | - a potential. In each case, our conditions are fully explicit.

doi.org

Henrik Wilming@arrr.de · 11mo ago

Like embezzlement of entanglement but not von Neumann algebras? Check out arxiv.org/abs/2509.15749 where we show explicitly that generic Gaussian fermionic states provide universal embezzling families. Plus: A novel bound relating trace distance of Gaussian states to their covariance matrices.

Gaussian fermionic embezzlement of entanglement

Embezzlement of entanglement allows to extract arbitrary entangled states from a suitable embezzling state using only local operations while perturbing the resource state arbitrarily little. A natural...

arxiv.org

Lauritz van Luijk@lvanluijk.bsky.social · 11mo ago

New paper on entanglement in infinite quantum systems with @stotti-alex.bsky.social @arrr.de 🎉:  arxiv.org/abs/2509.12911 The paper investigates bipartitions of quantum systems with infinitely many degrees of freedom. Small thread below 👇

Uniqueness of purifications is equivalent to Haag duality

The uniqueness of purifications of quantum states on a system $A$ up to local unitary transformations on a purifying system $B$ is central to quantum information theory. We show that, if the two syste...

arxiv.org

Henrik Wilming@arrr.de · 11mo ago

🥳I am very happy to have been awarded an ERC Starting Grant that I will use to start my own group and explore the large-scale entanglement properties of complex quantum systems. This would not have been possible without my fantastic collaborators and supervisors. A big "thank you" to all of you! 🙏

European Research Council (ERC)@erc.europa.eu · 11mo ago

📣 The ERC Starting Grant call results are out! Find out which early-career researchers will receive funding this year, what they will be investigating, where they will be based... plus lots of other #ERCStG facts & figures for 2025! ➡️ buff.ly/IsafuFh #FrontierResearch 🇪🇺#EUfunded #HorizonEurope

Nicolai Friis@improbabilitydrive.bsky.social · 12mo ago

Glad someone took the time to debunk the (obviously nonsensical) claim that Bell inequalities could be violated w/o entanglement. It is astonishing (to say the least) that this claim was made by experienced authors & that it passed peer review in the first place, does not reflect well on the journal

Bell Inequality Violations Without Entanglement? It's Just Postselection

Recently Wang et al. have reported a violation of a Bell inequality without entanglement [arXiv:2507.07756]. We show that their result is an artifact of postselection. It is well known that postselect...

arxiv.org

Henrik Wilming@arrr.de · last yr.

Thanks to @phys.org.web.brid.gy for covering our recent work with @stotti-alex.bsky.social and @lvanluijk.bsky.social on embezzlement of entanglement in critical systems: phys.org/news/2025-06... Paper: www.nature.com/articles/s41...

Universal embezzlers naturally emerge in critical fermion systems, study finds

Embezzlement of entanglement is an exotic phenomenon in quantum information science, describing the possibility of extracting entanglement from a resource system without changing its quantum state. In...

phys.org