I am a theoretical physicist and Assistant Professor in the Faculty of Electronics at the Military University of Technology in Warsaw. I work at the intersection of theoretical physics and data science, using the geometric and information-theoretic structures of quantum mechanics to build and analyse methods for machine learning and data analysis.
Teaching is a large part of what I do. Over the years I have lectured across a range of institutions — SGH Warsaw School of Economics, Kozminski University, Cardinal Stefan Wyszyński University and the Military University of Technology — and across an equally wide range of subjects: from programming and real-time data analytics, through statistics, data mining and financial engineering, to quantum machine learning and quantum technology. I also mentor within the quantum-computing community as part of QPoland / Quantum AI Foundation.
Alongside academia, I have spent years as a practitioner. I worked as a Big Data / MLOps engineer in the Credit Risk department of PKO BP, building production Python tooling for data scientists (Kedro, Pandas, Polars, Spark) on GCP with Airflow, MLflow and Seldon, and earlier as a data analyst and data engineer designing real-time processing pipelines with Kafka, Spark and Flink. That engineering background keeps my research grounded in what actually runs on real systems.
Today I also work as a Quantum Machine Learning Engineer at finQbit, where I develop quantum models for derivative pricing. My research more broadly asks when quantum data encodings genuinely outperform classical methods, and when they do not — a question I explore both theoretically and on real hardware, in work such as The Inverse Born Rule Equivalence (2026) and Option Pricing on Noisy Intermediate-Scale Quantum Computers (2026), the latter with Prof. Jacob Cybulski (Deakin University). This sits within a longer-running program I am developing with Cybulski, Quantum Information Field Theory (QIFT).
My path has taken me from particle physics (a PhD on neutrino oscillations) through topological analysis of biomolecules (Scientific Reports, 2018) and graph-theoretic methods for anomaly detection, to quantum machine learning — with geometric and information-theoretic structure as the thread tying it together. Before all of it I trained for a decade as a musician, which is still how I think about structure, pattern and improvisation.
QIFT is a theoretical program I am developing with Jacob Cybulski, aimed at characterising when quantum data encodings carry information inaccessible to classical models — and when they do not. It grows out of the concrete results below, which stand on their own and set the stage for the broader framework.
Proves that real-valued amplitude encodings composed with data-independent circuits yield hypothesis classes equivalent to classical inner-product kernels — a precise boundary on where quantum advantage cannot arise.
A QNN approach to pricing financial derivatives, benchmarked on real hardware — IBM Fez, IQM Garnet, IonQ Forte, and Rigetti Ankaa-3.
A research group with Jacob Cybulski, Natalia Kopec and Thanh Nguyen, applying quantum machine learning to time-series analysis and anomaly detection. Our aim is to detect early warning signs of high-impact events hidden in noisy temporal data — with applications in medical diagnosis, machine condition monitoring and environmental change.
Rigorous metrics for parametric quantum circuit design — profiling expressivity (frame potentials, KL divergence to the Haar ensemble, effective dimension) against trainability (gradient-variance scaling, Fisher information, Krylov metrics) — to move ansatz design from heuristics toward predictable engineering.
Design of quantum autoencoders for denoising and reconstructing time series. Published as Design Considerations for Denoising Quantum Time-Series Autoencoder (ICCS 2024, LNCS vol. 14837) and extended in ongoing joint work on autoencoder architectures for signal and time-series denoising.
New approaches to implementing quantum reservoir computing models for temporal data, with a publication in preparation. This thread also formed the basis of a Master's thesis I supervised.
S.Z, K. Kuba
•Quantum Technologies in Finance book (2026)
S.Z, R. Pracht
•Arxiv (2026)
S.Z. J. L. Cybulski, B. Dziewit, T. Kulpa
•Arxiv (2026)
J. L. Cybulski, J. Zwoniarski, A. Strąg, S.Z.
•QUANTICS - International Conference on Quantum Information, Computing, Communication and Simulation (2026)
M.Mazdziarz, S.Z., Ł.Paukszto, J.Sawicki
•BMC Bioinformatics vol. 26 no. 141 (2025)
J. L. Cybulski, S.Z.
•TBA (2025)
S.Z, J. L. Cybulski, T. Kulpa
•Sztuczna inteligencja w przedsiębiorstwach i gospodarce (AI Spring 2024) (2025)
J. L. Cybulski, S.Z.
•24th International Conference on Computational Science (ICCS) (2024)
B. Kaminski, P. Pralat, F. Theberge, S.Z.
•Complex Networks & Their Applications XII vol. 4 (2024)
B. Kaminski, P. Pralat, F. Theberge, S.Z.
•Social Network Analysis and Mining vol. 14 (2024)
G. Biehle, C. Ellgen, B. Sabra, S.Z.
•OSF Preprints (2022)
M. Wrzosek, D. Kaszynski, K. Przanowski, S.Z.
•Oficyna Wydawnicza SGH (2020)
K. Przanowski, S.Z, D. Kaszynski, L. Opinski
•Oficyna Wydawnicza SGH (2020)
K. Przanowski, S.Z.
•Oficyna Wydawnicza SGH (2020)
B.Dziewit, J.Holeczek, S.Z., M.Zralek
•Symmetry vol. 12(1) no. 156 (2020)
P. Rubach, S.Z. , B. Jastrzebski, J. I. Sulkowska, P. Sulkowski
•Nucleic Acids Research (2019)
S.Z., C. Geary , E. A. Andersen, P. Dabrowski-Tumanski, J.Sulkowska, P.Sulkowski
•Nature Scientific Reports vol. 8 (2018)
P. Chaber, B. Dziewit, J. Holeczek, M. Richter, M. Zralek, S.Z.
•Physical Review D vol. 98 (2018)
B.Dziewit, J.Holeczek, M.Richter, M.Zralek, S.Z.
•Physics of Atomic Nuclei vol. 80 no. 4 (2017)
B.Dziewit, J.Holeczek, M.Richter, M.Zralek, S.Z.
•Physics of Atomic Nuclei vol. 80 no. 2 (2017)
B.Dziewit, J.Holeczek, M.Richter, M.Zralek, S.Z.
•Acta Physica Polonica B vol. 46 no. 11 (2015)
B.Dziewit, M.Zralek, S.Z.
•Acta Physica Polonica B vol. 44 no. 11 (2013)
B.Dziewit, M.Zralek, S.Z.
•Acta Physica Polonica B vol. 42 no. 11 (2011)
E.W.Piotrowski, J.Sladkowski, J.Syska, S.Z.
•Physica Status Solidi B vol. 246 no. 5 (2009)
J. Syska, M. Zralek, S.Z.
•Acta Physica Polonica B vol. 38 no. 11 (2007)
S.Z.
•My Remarks (2026)
S.Z.
•My Remarks (2026)
S.Z.
•My Remarks (2026)
Editors: O. Zapata•The Quantum Finance Boardroom (2026)
Editors: T. Doligalski, D. Kaszyński•Oficyna Wydawnicza SGH (2025)
Editors: S. Zajac•Oficyna Wydawnicza SGH (2022)
Editors: D. Kaszyński, B. Kamiński, T. Szapiro.•Oficyna Wydawnicza SGH (2020)
Editors: K.Przanowski, S.Zajac•Oficyna Wydawnicza SGH (2020)
Doctor of Philosophy•17.09.2013
Advisor: prof. dr hab Marek Zrałek
Accelerator neutrino oscillations and their non-standard interactions (PL) View
Master of Science•27.06.2007
Advisor: dr hab. Jerzy Król
Some geometrical and topological methods in classical and quantum field theory (PL). View
Bechelor of Science•27.06.2005
Advisor: dr hab. Jacek Syska
Time Series analysis with ARMA and ARIMA processes. Application in SAS. (PL) View
Musician•2004
Advisor: F. Prus
Accordeon class.