Hi, I am *Henrik Wilming* and I do *quantum physics*.

E-mail: henrik-physics ### arrr.de

I am interested both in abstract quantum information theory and in using ideas and tools from (quantum) information theory to obtain interesting and rigorous results in other areas, in particular in the theory of quantum many-body systems and statistical physics. I am currently a postdoctoral researcher in the group of Tobias Osborne and Reinhard Werner at Leibniz University Hannover. Previously, I was a researcher in the quantum information theory group of Renato Renner at ETH Zurich. I did my PhD in Jens Eisert's group at FU Berlin.

I am always happy to receive e-mails regarding my work, so please feel invited to send any questions or comments. My CV is available on request.

Most of my publications can be found on the arXiv.

- Our Plenary Talk at QIP '24 on embezzlement of entanglement can be watched here. An updated version of the talk can also be seen in the IAMP online seminar.
- 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. NZZ 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.

Update: In publication 22) I provide an affirmative solution to the approximate catalytic entropy conjecture.

Update 2: In publication 27) I provide an affirmative solution to the exact catalytic entropy conjecture. - Our paper on "Statistical Ensembles without Typicality" published in Nature Communications was featured at ProPhysik (German). The FU Berlin also issued a press release (German).

Lauritz van Luijk, Alexander Stottmeister, Reinhard F. Werner, H.W. arXiv:2401.07299

Lauritz van Luijk, Alexander Stottmeister, Reinhard F. Werner, H.W. arXiv:2401.07292

H.W., Ingo Roth arXiv:2202.01669

H.W., Marcel Goihl, Christian Krumnow, Jens Eisert, arXiv:1704.06291

See also publication 13).

32) *Catalysis in Quantum Information Theory*,

Patryk Lipka-Bartosik, H.W., Nelly H. Y. Ng

Reviews of Modern Physics (accepted)

arXiv:2306.00798

Patryk Lipka-Bartosik, H.W., Nelly H. Y. Ng

Reviews of Modern Physics (accepted)

arXiv:2306.00798

31) *Sufficiency of Rényi divergences*,

Niklas Galke, Lauritz van Luijk, H.W.

IEEE Transactions in Information Theory (accepted)

arXiv:2304.12989

Niklas Galke, Lauritz van Luijk, H.W.

IEEE Transactions in Information Theory (accepted)

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

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

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

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

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

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

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

H.W., Albert H. Werner

Phys. Rev. B 105, 125101 (2022).

arXiv:2006.10062

Paul Boes, Nelly H. Y. Ng, H.W.

PRX Quantum 3, 010325 (2022).

arXiv:2009.08391

21) *Revivals imply quantum many-body scars*,

Álvaro M. Alhambra, Anurag Anshu, H.W.

Phys. Rev. B 101, 205107 (2020).

arXiv:1911.05637

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

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

Raban Iten, Tony Metger, H.W., Lidia del Rio, Renato Renner,

Phys. Rev. Lett. 124, 010508 (2020),

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.

H.W., Marcel Goihl, Ingo Roth, Jens Eisert,

Phys. Rev. Lett. 123, 200604 (2019),

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

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

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

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)

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.

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.

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.

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

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

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

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

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

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

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

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

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

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

H.W., Rodrigo Gallego, Jens Eisert

Phys. Rev. E 93, 042126 (2016)

arXiv:1411.3754

e-mail: impressum@arrr.de