Research interest

My research focusses on the following topics and the connections between them:

Quantum information theory

Entanglement in complex quantum systems

Non-equilibirum dynamics of many-body systems

Mathematical physics

Statistical physics and foundations of thermodynamics

Most of my publications can be found on the arXiv.

Recent news and media coverage

Niklas Galke presented our joint work on sufficiency of Rényi divergences (31) at TQC 2024. A recoding can be watched here.
I presented our work on the classification of von Neumanna algebras and embezzlement of entanglement at the International Congress of Mathematical Physics (ICMP) 2024 in Strasbourg.
Our Review of Modern Physics on catalysis in quantum information theory (32) is finally out and featured in APS Physics.
IEEE Transactions in Information Theory published our work on sufficiency of Rényi divergences.
Our long plenary talk at QIP '24 on embezzlement of entanglement can be watched here. An updated version of the talk by Alexander Stottmeister can also be seen in the IAMP online seminar.
Nature Communications published our demonstration of reviving product states in the paradigmatic model for many-body localization.
Quantum published my proof of the exact catalytic entropy conjecture.
PRL published my proof of the approximate catalytic entropy conjecture.
APS Physics selected our paper on (re-)discovering physical concepts using neural networks as one of the highlights of the year 2020.
APS Physics published a viewpoint featuring our paper on equilibration in entanglement-ergodic quantum systems. Pro-physik.de published a similar piece (in German).
APS Physics published a viewpoint on our paper on using neural networks to (re-)discover physical concepts in simply toy models. Neue Züricher Zeitung also published an article in German. Before that, Nature published an article in the News section. This piece was followed up by a piece in unite.ai and at bigthink.com. MIT Technology Review previously published a similar piece. Nautilus published a piece criticizing the reporting about our and other papers.
The IQOQI Vienna issued a press release on our paper "von Neumann entropy from unitarity" published in PRL. In the paper we formulate the "catalytic entropy conjecture", which is now problem 45 on the list of open problems inquantum information theory.

Pre-prints

Pure state entanglement and von Neumann algebras,
Lauritz van Luijk, Alexander Stottmeister, Reinhard F. Werner, H.W. arXiv:2409.17739

Multipartite Embezzlement of Entanglement,
Lauritz van Luijk, Alexander Stottmeister, H.W. arXiv:2409.07646

Critical Fermions are Universal Embezzlers,
Lauritz van Luijk, Alexander Stottmeister, H.W. arXiv:2406.11747

Embezzlement of entanglement, quantum fields, and the classification of von Neumann algebras ,
Lauritz van Luijk, Alexander Stottmeister, Reinhard F. Werner, H.W. arXiv:2401.07299

Embezzling entanglement from quantum fields ,
Lauritz van Luijk, Alexander Stottmeister, Reinhard F. Werner, H.W. arXiv:2401.07292

Ticking clocks in quantum theory,
Ralph Silva, Nuriya Nurgalieva, H.W. arXiv:2306.01829

High-temperature thermalization implies the emergence of quantum state designs,
H.W., Ingo Roth arXiv:2202.01669

Extensive Rényi entropies in matrix product states,
Alberto Rolandi, H.W. arXiv:2008.11764

Towards local equilibration in closed interacting quantum many-body systems,
H.W., Marcel Goihl, Christian Krumnow, Jens Eisert, arXiv:1704.06291
See also publication 13).

Peer-reviewed Publications

32) Catalysis in Quantum Information Theory,
Patryk Lipka-Bartosik, H.W., Nelly H. Y. Ng
Rev. Mod. Phys. 96, 025005 (2024)
arXiv:2306.00798

31) Sufficiency of Rényi divergences,
Niklas Galke, Lauritz van Luijk, H.W.
IEEE Transactions on Information Theory 70, no. 7, 5057-5076 (2024)
arXiv:2304.12989

30) Covariant catalysis requires correlations and good quantum reference frames degrade little,
Lauritz van Luijk, Reinhard F. Werner, H.W.
Quantum 7, 1166 (2023)
arXiv:2301.09877

29) Reviving product states in the disordered Heisenberg chain,
H.W., Tobias J. Osborne, Kevin S.C. Decker, Christoph Karrasch
Nature Communications 14, 5847 (2023)
arXiv:2210.03153

28) Quantized and maximum entanglement from sublattice symmetry,
H.W., Tobias J. Osborne
Phys. Rev. A 107, 022418 (2023).
arXiv:2112.15177

27) Correlations in typicality and an affirmative solution to the exact catalytic entropy conjecture,
H.W.
Quantum 6, 858 (2022).
arXiv:2205.08915

26) Operationally meaningful representations of physical systems in neural networks,
Hendrik Poulsen Nautrup, Tony Metger, Raban Iten, Sofiene Jerbi, Lea M. Trenkwalder, H.W., Hans J. Briegel, Renato Renner
Mach. Learn.: Sci. Technol. 3 045025 (2022).
arXiv:2001.00593

25) Revisiting the equality conditions of the data processing inequality for the sandwiched Rényi divergence,
Jinzhao Wang, H.W.
J. Math. Phys. 63, 052203 (2022).
arXiv:2009.14197

24) Lieb-Robinson bounds imply locality of interactions,
H.W., Albert H. Werner
Phys. Rev. B 105, 125101 (2022).
arXiv:2006.10062

23) The variance of relative surprisal as single-shot quantifier,
Paul Boes, Nelly H. Y. Ng, H.W.
PRX Quantum 3, 010325 (2022).
arXiv:2009.08391

22) Entropy and reversible catalysis,
H.W.
Phys. Rev. Lett. 127, 260402 (2021).
arXiv:2012.05573

21) Revivals imply quantum many-body scars,
Álvaro M. Alhambra, Anurag Anshu, H.W.
Phys. Rev. B 101, 205107 (2020).
arXiv:1911.05637

20) By-passing fluctuation theorems,
Paul Boes, Rodrigo Gallego, Nelly H. Y. Ng, Jens Eisert, H.W.
Quantum 4, 231 (2020).
arXiv:1904.01314

19) Discovering physical concepts with neural networks,
Raban Iten, Tony Metger, H.W., Lidia del Rio, Renato Renner,
Phys. Rev. Lett. 124, 010508 (2020), Editor's suggestion.
arXiv:1807.10300
Media coverage: APS Physics Highlights of the Year 2020, NZZ (Neue Züricher Zeitung, in German), Viewpoint in APS Physics, Nature, MIT Technology Review, unite.ai, bigthink.com, Nautilus

18) Entanglement-ergodic quantum systems equilibrate exponentially well,
H.W., Marcel Goihl, Ingo Roth, Jens Eisert,
Phys. Rev. Lett. 123, 200604 (2019), Editor's suggestion.
arXiv:1802.02052
Media coverage: Viewpoint in APS Physics,Pro-physik.de.

17) Single-shot holographic compression from the area law,
H.W., Jens Eisert,
Phys. Rev. Lett. 122, 190501 (2019)
arXiv:1809.10156

16) Von Neumann entropy from unitarity,
Paul Boes, Jens Eisert, Rodrigo Gallego, Markus P. Müller, H.W. ,
Phys. Rev. Lett. 122, 210402 (2019)
arXiv:1807.08773
Media coverage:Press release by IQOQI

15) Imperfect Thermalizations Allow for Optimal Thermodynamic Processes,
Elisa Bäumer, Marti Perarnau-Llobet, Philipp Kammerlander, H.W., Renato Renner,
Quantum 3, 153 (2019)
arXiv:1712.07128v4

14) A novel 3D printed radial collimator for x-ray diffraction,
S. Kowarik, L. Bogula, S. Boitano, F. Carlà, H. Pithan, P. Schäfer, H.W., A. Zykov, and L. Pithan,
Review of Scientific Instruments 90, 035102 (2019)

13) Equilibration times in closed quantum many-body systems,
H.W., Thiago de Oliveira, Anthony J. Short, Jens Eisert,
Contribution to "Thermodynamics in the quantum regime - recent progress and outlook", F. Binder, L. A. Correa, C. Gogolin, J. Anders, and G. Adesso (eds.) (Springer, Berlin, 2018)
arXiv:1805.06422.

12) Catalytic quantum randomness,
Paul Boes, H.W., Rodrigo Gallego, Jens Eisert,
Phys. Rev. X 8, 041016 (2018)
arXiv:1804.03027.

11) What it takes to avoid equilibration,
Rodrigo Gallego, H.W., Jens Eisert, Christian Gogolin
Phys. Rev. A 98, 022135 (2018)
arXiv:1711.09832.

10) Statistical ensembles without typicality,
Paul Boes, H.W., Jens Eisert, Rodrigo Gallego
Nature communications 9 (1), 1022 (2018)
arXiv:1707.08218
Media coverage: ProPhysik, Press release by FU Berlin

9) Strong coupling corrections in quantum thermodynamics,
Marti Perarnau-Llobet, H.W., Arnau Riera, Rodrigo Gallego, Jens Eisert
Phys. Rev. Lett. 120, 120602 (2018)
arXiv:1704.05864

8) Axiomatic characterization of the quantum relative entropy and free energy,
H.W., Rodrigo Gallego, Jens Eisert
Entropy 19, 241 (2017)
arXiv:1702.08473

7) The third law of thermodynamics as a single inequality,
H.W., Rodrigo Gallego
Phys. Rev. X 7, 041033 (2017)
arXiv:1701.07478

6) Quantum thermodynamics with local control,
Jaqueline Lekscha, H.W., Jens Eisert, Rodrigo Gallego
Physical Review E 97 (2), 022142 (2018)
arXiv:1612.00029

5) Towards holography via quantum source-channel codes,
Fernando Pastawski, Jens Eisert, H.W.
Phys. Rev. Lett. 119, 020501 (2017)
arXiv:1611.07528

4) Emergence of spontaneous symmetry breaking in dissipative lattice systems,
H.W., Michael J. Kastoryano, Albert H. Werner, Jens Eisert
J. Math. Phys. 58, 033302 (2017)
arXiv:1602.01108

3) Work and entropy production in generalised Gibbs ensembles,
Marti Perarnau-Llobet, Arnau Riera, Rodrigo Gallego, H. W., Jens Eisert
New J. Phys., 18, 123035 (2016)
arXiv:1512.03823

2) Thermodynamic work form operational principles,
Rodrigo Gallego, Jens Eisert, H.W.
New J. Phys. 18, 103017 (2016)
arXiv:1504.05056

1) Second Laws under control restrictions,
H.W., Rodrigo Gallego, Jens Eisert
Phys. Rev. E 93, 042126 (2016)
arXiv:1411.3754

Impressum/Imprint

Henrik Wilming, Leibniz Universität Hannover, Schneiderberg 32, 30167 Hannover, Germany/Deutschland
e-mail: impressum@arrr.de