#Portfolio

Education

• 2024 Ph.D., Physics Science, University of Gdansk Thesis title: Odwzorowania k-dodatnie w Fizyce (eng. k-positive maps in physics).
• 2019: M.Sc. Physics Science, University of Gdansk Thesis title: Nierozkładalne odwzorowania k-dodatnie na algebrach macierzowych (eng.k-positive indecomposable maps on matrix algebras).
• 2015: B.A. Physics Science, University of Gdansk Thesis title: Badanie krzywej rotacji galaktyki (eng. Study of the galaxy’s rotation curve).
• 2012: Technician: sanitary equipment and installations, PSB Gdańsk.

Selected publications

1. T. Młynik, H. Osaka, and M. Marciniak, “Characterization of k-positive maps,” Communications in Mathematical Physics, vol. 406, no. 3, p. 62, 2025. doi: 10.1007/s00220-025-05250-4 / arXiv
2. D. Ebler, M. Horodecki, M. Marciniak, T. Młynik, M. T. Quintino, and M. Studziński, “Optimal universal quantum circuits for unitary complex conjugation,” IEEE Transactions on Information Theory, vol. 69, no. 8, pp. 5069–5082, Aug. 2023, issn: 1557-9654.  doi: 10.1109/tit.2023.3263771 / arXiv
3. P. Gnaciński and T. Młynik, “Keplerian rotation of our galaxy?” Publications of the Astronomical Society of the Pacific, vol. 129, no. 974, p. 044 101, Feb. 2017.   doi: 10.1088/1538-3873/aa5c9b / arXiv

Pre-publications (arXiv)

1. F. Grosshans, M. Horodecki, M. Murao, T. Młynik, M. T. Quintino, M. Studziński and S. Yoshida, “Multicopy quantum state teleportation with application to storage and retrieval of quantum programs” arXiv:2409.10393 [quant-ph]
2. M. Studziński, T. Młynik, M. Mozrzymas, M. Horodecki, “Irreducible matrix representations for the walled Brauer algebra” arXiv:2501.13067 [quant-ph]

Invited Talks

1. Sep 2023: Tokyo University, Japan, Title: PBT with k copies of the input state
2. Sep 2023: Yukawa International Seminar 2023 Foundations and Developments of Quantum Information Theory in Kyoto, Japan, Title: Transformation of an unknown unitary operation: complex conjugation
3. Aug 2023: 23rd Asian Quantum Information Science Conference in Seoul, Korea, Title: Transformation of an unknown unitary operation: complex conjugation.
4. Nov 2022: Quantum Fundaments and Quantum Information Theory seminar in Kyoto, Japan, Title: Construction and characterization of 1-parameter (non)decomposable maps.
5. Dec 2021: QUANTUMSPEEDUP in Gdansk, Poland, Title: Reversing unknown unitary operation via quantum combs.
6. Mar 2015: Seminar in Toruń, Poland entitled „Krzywa rotacji naszej galaktyki?”.

Projects and Grands

1. (2021 - 2024): NCN, Sonata 16 - PhD student position, Symmetries and Entanglement in Quantum Circuits.
2. (2022): NAVA. Academic Exchange “International scholarship exchange of PhD candidates and academic staff”.
3. (2021 - 2022): UG, UGrants start 2 - PI, On a class of k-entanglement witness.

Selected Conferences (Posters)

1. Jun 2023: Gdansk, Poland, Mathematical Structures in Quantum Mechanics entitled, Class of one-parameter k-positive maps in matrix algebras.
2. Jun 2023: Torun, Poland, 54 Symposium on Mathematical Physics entitled, Transformation of an unknown unitary operation: complex conjugation.
3. Feb 2023: Ghent, Belgium – 26th QiP entitled, Transformation of an unknown unitary operation: complex conjugation.
4. Jul 2022: Lisbon, Portugal – QCMC, entitled Transformation of an unknown unitary operation: complex conjugation.
5. Jun 2022: Seefeld, Austria – Quantum information 2022, entitled, Transformation of an unknown unitary operation: complex conjugation.
6. Dec 2021: QUANTUMSPEEDUP in Gdansk, Poland, entitled, Reversing unknown unitary operation via quantum combs.

Previous teaching activities

1. Algebra - 1st year UG.
2. Stochastic processes - 2nd year UG.
3. Functional analysis - 1st year UG.
4. Python with the basics of algorithms - 2nd year UG.
5. Advanced Theoretical Mathematics in Physics - 1st year UG.

CV: Visit Page

Contact me

E-mail: tomek.mlynik@gmail.com LinkedIn: Visit Page