Lauritz van Luijk
@lvanluijk.bsky.social
📤 217
📥 132
📝 14
reposted by
Lauritz van Luijk
about 1 month ago
We're a group of fun, loving, and fun-loving people welcoming more :)
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reposted by
Lauritz van Luijk
Graeme Smith
about 1 month ago
If you are interested in doing a postdoc with me, please apply to the IQC postdoctoral fellowship here:
iqc-uwaterloo.slideroom.com#/login/progr...
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University of Waterloo Attn: Institute for Quantum Computing - SlideRoom
Apply to University of Waterloo Attn: Institute for Quantum Computing. Powered by SlideRoom.
https://iqc-uwaterloo.slideroom.com/#/login/program/64947
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reposted by
Lauritz van Luijk
Henrik Wilming
about 1 month 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...
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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...
https://link.springer.com/article/10.1007/s00220-025-05465-5?utm_source=rct_congratemailt&utm_medium=email&utm_campaign=oa_20251030&utm_content=10.1007%2Fs00220-025-05465-5
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Here's a picture of the four of us at my defense some weeks ago.
add a skeleton here at some point
2 months ago
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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
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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...
https://arxiv.org/abs/2510.07563
2 months ago
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reposted by
Lauritz van Luijk
Henrik Wilming
2 months 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.
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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...
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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.
https://doi.org/10.1007/s10208-025-09730-w
2 months ago
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reposted by
Lauritz van Luijk
Henrik Wilming
3 months 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.
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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...
https://arxiv.org/abs/2509.15749
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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 👇
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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...
https://arxiv.org/abs/2509.12911
3 months ago
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reposted by
Lauritz van Luijk
Henrik Wilming
3 months 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! 🙏
add a skeleton here at some point
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reposted by
Lauritz van Luijk
Nicolai Friis
4 months 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
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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...
https://arxiv.org/abs/2508.13431
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add a skeleton here at some point
4 months ago
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reposted by
Lauritz van Luijk
Henrik Wilming
4 months ago
Small paper w/
@lvanluijk.bsky.social
and
@stotti-alex.bsky.social
: We revisit the amazing operator inequality by Lin et al. (arXiv:2211.13372), which implies strong sub-additivity of entropy and find that it's a special case of Connes' theory of spatial derivatives:
arxiv.org/abs/2508.03731
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reposted by
Lauritz van Luijk
Dan Garisto
5 months ago
For the math folks on here: NSF has suspended Terry Tao's grant.
www.nsf.gov/awardsearch/...
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NSF Award Search: Award # 2347850
Structure theory for measure-preserving systems, additive combinatorics, and correlations of multiplicative functions
https://www.nsf.gov/awardsearch/showAward?AWD_ID=2347850&HistoricalAwards=false
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reposted by
Lauritz van Luijk
5 months ago
Quantum Toolbox (8): Hadamard's Three-Lines Theorem (1/6)
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reposted by
Lauritz van Luijk
Henrik Wilming
5 months ago
Happy to see that our paper on multipartite embezzlement with
@lvanluijk.bsky.social
and
@stotti-alex.bsky.social
is finally out in
@quantum-journal.bsky.social
quantum-journal.org/papers/q-202...
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Multipartite Embezzlement of Entanglement
Lauritz van Luijk, Alexander Stottmeister, and Henrik Wilming, Quantum 9, 1818 (2025). Embezzlement of entanglement refers to the task of extracting entanglement from an entanglement resource via loca...
https://quantum-journal.org/papers/q-2025-07-30-1818/
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reposted by
Lauritz van Luijk
Andreea Lefterovici
5 months ago
Henrik will soon talk about entanglement in the thermodynamic limit at LUH :).
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reposted by
Lauritz van Luijk
Henrik Wilming
6 months ago
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...
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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...
https://phys.org/news/2025-06-universal-embezzlers-naturally-emerge-critical.html
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reposted by
Lauritz van Luijk
Andreas Bluhm
6 months ago
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!
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https://andreasbluhm.eu/wp-content/uploads/2025/06/PhD_ANR.pdf
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reposted by
Lauritz van Luijk
Alexander Stottmeister
7 months ago
Today our paper on universal embezzlement of entanglement in critical fermion systems has been published in Nature Physics:
www.nature.com/articless415...
Another intense collaboration with the great Lauritz (
@lvanluijk.bsky.social
) & Henrik (
@arrr.de
). Below is the former Twitter thread.
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https://www.nature.com/articless41567-025-02921-w
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My paper Energy-limited quantum dynamics was published in CMP! 🎉
doi.org/10.1007/s002...
I'll do a short thread when I find the time for it.
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Energy-Limited Quantum Dynamics - Communications in Mathematical Physics
We consider quantum systems with energy constraints relative to a reference Hamiltonian. In general, quantum channels and continuous-time dynamics need not satisfy energy conservation. Physically mean...
https://doi.org/10.1007/s00220-025-05282-w
7 months ago
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reposted by
Lauritz van Luijk
Henrik Wilming
9 months ago
For this year’s
#QIP2025
we sadly had to give our talk as a video. The upshot: Everyone can already watch
@lvanluijk.bsky.social
’s nice talk on pure state entanglement and von Neumann algebras!
https://m.youtube.com/watch?v=U70p9sauZ_E
#entanglement
#quantum
@stotti-alex.bsky.social
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Pure state entanglement and von Neumann algebras (QIP 2025)
https://m.youtube.com/watch?v=U70p9sauZ_E
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reposted by
Lauritz van Luijk
Henrik Wilming
12 months ago
For popular science descriptions see:
thequantuminsider.com/2024/12/31/q...
www.newscientist.com/article/2461...
www.sciencealert.com/physicists-d...
www.scihb.com/2024/12/phys...
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Quantum Embezzlers -- Physicists Bank on Relativistic Fields for Infinite Entanglement
Researchers demonstrated that relativistic quantum fields can be "universal embezzlers," extracting quantum states with minimal disturbance
https://thequantuminsider.com/2024/12/31/quantum-embezzlers-physicists-bank-on-relativistic-fields-for-infinite-entanglement/
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reposted by
Lauritz van Luijk
Henrik Wilming
12 months ago
My scientific year 2024 was entirely focussed on the curious „embezzlement of
#entanglement
“. Just in time PRL has published our short overview article:
link.aps.org/doi/10.1103/...
Thanks go out to
@lvanluijk.bsky.social
and
@stotti-alex.bsky.social
for the intense and fruitful collaboration! 🧪⚛️💚
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Relativistic Quantum Fields Are Universal Entanglement Embezzlers
Embezzlement of entanglement refers to the counterintuitive possibility of extracting entangled quantum states from a reference state of an auxiliary system (the ``embezzler'') via local quantum opera...
https://link.aps.org/doi/10.1103/PhysRevLett.133.261602
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reposted by
Lauritz van Luijk
Henrik Wilming
12 months ago
A little Christmas present by
@kpc.bsky.social
at
@newscientist.bsky.social
covering our work on embezzlement of entanglement to appear in
@apsphysics.bsky.social
Phys. Rev. Lett. I‘d like to emphasize the important role of Reinhard F. Werner in this work.
www.newscientist.com/article/2461...
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Quantum entanglement can be endlessly 'embezzled' from quantum fields
Some quantum fields that extend throughout all of space-time could be a rich resource of quantum entanglement that can be extracted forever
https://www.newscientist.com/article/2461485-quantum-entanglement-can-be-endlessly-embezzled-from-quantum-fields/
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