About Me

I am a theoretical physicist and Assistant Professor at the Decision Analysis and Support Unit, SGH Warsaw School of Economics, and a researcher at the Faculty of Electronics, Military University of Technology (WAT). My work sits at the boundary between theoretical physics and modern data science — I develop mathematical frameworks that translate the formalism of quantum mechanics into practical tools for anomaly detection, time series analysis, and financial forecasting.

The central thread of my research is Quantum Information Field Theory (QIFT) — a framework I am building together with Prof. Jacob Cybulski (Deakin University, Australia). QIFT treats data not as a static vector but as a field of relational information, enabling encoding schemes that genuinely exploit quantum non-commutativity rather than merely emulating classical statistics in Hilbert space. The framework provides a principled foundation for quantum anomaly detection on tabular and graph-structured data, and directly challenges established assumptions in amplitude encoding — most recently formalised in our preprint The Inverse Born Rule Fallacy (arXiv, 2026).

My trajectory: PhD in particle physics (neutrino oscillations, family symmetries) → topological analysis of biomolecules (genus invariant, Nature Scientific Reports 2018) → graph-based community features for classification → quantum machine learning on NISQ hardware. This path reflects a consistent interest in geometric and information-theoretic structure as the source of predictive power in complex systems.

Beyond academia, I work as a Quantum Machine Learning Engineer at finQbit, deploying QML models on real quantum hardware for financial applications using Python and Julia. I am a member of the American Physical Society and QPoland.

Research

Primary Framework

Quantum Information
Field Theory (QIFT)

QIFT reframes data encoding in quantum machine learning by treating observations as generating non-commutative Hamiltonian evolution — rather than projecting them onto a static, phase-locked amplitude vector. This distinction is not merely theoretical: standard amplitude encoding restricts the data manifold to the positive real orthant, abelianizing the accessible Hilbert space and eliminating the phase structure that underlies genuine quantum advantage.

The framework provides a unified language for quantum anomaly detection, time-series analysis, and field-theoretic data representation, with direct applications to financial risk modelling and complex graph-structured data.

Research
Trajectory

2007–2013
Particle Physics & Quantum Field Theory
PhD on neutrino oscillations and non-standard interactions. Work on family symmetries, multi-Higgs-doublet extensions of the Standard Model, and lepton mass matrices. Foundation in the mathematical structure of quantum fields.
2014–2019
Topological Data Analysis & Biomolecular Geometry
Developed the genus invariant for biomolecules — a topological measure of entanglement complexity in RNA and proteins. Published in Nature Scientific Reports (2018) and Nucleic Acids Research (2019). Bridging point: topology as a language for structural complexity in data.
2020–2022
Graph Data Science & Community-Aware Features
Collaboration with B. Kamiński, P. Prałat, F. Théberge on community-aware node features for classification in large networks. Papers in Social Network Analysis and Mining (2024) and Complex Networks & Their Applications (2024).
2022 →
Quantum Machine Learning & QIFT
Active development of QIFT framework. Research on quantum time-series models, denoising autoencoders, expressivity vs. trainability tradeoffs, and the theoretical limits of standard amplitude encoding. Deployment of QML models on real NISQ hardware at finQbit.

Key
Collaborators

Deakin University, Australia
QIFT · QML · Quantum Time Series
Bogumił Kamiński
SGH Warsaw School of Economics
Graph Theory · Community Detection
Paweł Prałat
Toronto Metropolitan University
Complex Networks · Node Features
François Théberge
Tutte Institute for Mathematics & Computing
Graph Algorithms · Data Science
Bartosz Dziewit
University of Silesia
QFT · Family Symmetries · QIFT
Joanna Sulkowska
University of Warsaw
Topology · Biomolecular Knots

Publications

The Inverse Born Rule Fallacy: On the Informational Limits of Phase-Locked Amplitude Encoding

S.Z. J. L. Cybulski, B. Dziewit, T. Kulpa
to appear

Quantum Data Analysis: From Statistical Points to Quantum Information Fields

S.Z., J. L. Cybulski,
to appear

Novel approaches to the implementation of quantum reservoir computing models

J. L. Cybulski, S. Wladyka, S.Z., P. Gora
to appear

Investigation of Quantum Autoencoder Architectures for Effective Signal and Time Series Denoising

J. L. Cybulski, A. Strąg, J. Zwoniarski, S.Z., P. Gora
to appear

RSCUcaller: R Package for analyzing differences in relative synonymous codon usage

M.Mazdziarz, S.Z., Ł.Paukszto, J.Sawicki
BMC Bioinformatics vol. 26 no. 141 (2025)

Quantum Modelling of Time Series: Expressivity vs. Trainability

J. L. Cybulski, S.Z.
Quantum Machine Intelligence (2025)

Kwantowe algorytmy hybrydowe jako modele uczenia maszynowego

S.Z, J. L. Cybulski, T.Kulpa
Sztuczna inteligencja w przedsiębiorstwach i gospodarce (AI Spring 2024) (2025)

Design Considerations for Denoising Quantum Time-Series Autoencoder

J. L. Cybulski, S.Z.
24th International Conference on Computational Science (ICCS) (2024)

Classification Supported by Community-Aware Node Features

B. Kaminski, P. Pralat, F. Theberge, S.Z.
Complex Networks & Their Applications XII vol. 4 (2024)

Predicting Properties of Nodes via Community-Aware Features

B. Kaminski, P. Pralat, F. Theberge, S.Z.
Social Network Analysis and Mining vol. 14 (2024)

Incorporating Gravity into the Path Integral of Quantum Mechanics Using the Thermodynamics of Spacetime

G. Biehle, C. Ellgen, B. Sabra, S.Z.
OSF Preprints (2022)

Selected machine learning methods used for credit scoring

M. Wrzosek, D. Kaszynski, K. Przanowski, S.Z.
Oficyna Wydawnicza SGH (2020)

Variable selection methods

K. Przanowski, S.Z, D. Kaszynski, L. Opinski
Oficyna Wydawnicza SGH (2020)

Metody selekcji zmiennych w modelach skoringowych

K. Przanowski, S.Z.
Oficyna Wydawnicza SGH (2020)

Family Symmetries and Multi Higgs Doublet Models

B.Dziewit, J.Holeczek, S.Z., M.Zralek
Symmetry vol. 12(1) no. 156 (2020)

Genus for biomolecules

P. Rubach, S.Z. , B. Jastrzebski, J. I. Sulkowska, P. Sulkowski
Nucleic Acids Research (2019)

Genus trace reveals the topological complexity and domain structure of biomolecules

S.Z., C. Geary , E. A. Andersen, P. Dabrowski-Tumanski, J.Sulkowska, P.Sulkowski
Nature Scientific Reports vol. 8 (2018)

Lepton Masses and Mixing in Two-Higgs-Doublet Model

P. Chaber, B. Dziewit, J. Holeczek, M. Richter, M. Zralek, S.Z.
Physical Review D vol. 98 (2018)

The discrete family symmetries as the possible solution to the flavour problem

B.Dziewit, J.Holeczek, M.Richter, M.Zralek, S.Z.
Physics of Atomic Nuclei vol. 80 no. 4 (2017)

Texture zeros in neutrino mass matrix

B.Dziewit, J.Holeczek, M.Richter, M.Zralek, S.Z.
Physics of Atomic Nuclei vol. 80 no. 2 (2017)

The Flavour Problem and the Family Symmetry Beyond the Standard Model

B.Dziewit, J.Holeczek, M.Richter, M.Zralek, S.Z.
Acta Physica Polonica B vol. 46 no. 11 (2015)

Attempts at Explaining Neutrino Masses and Mixings Using Finite Horizontal Symmetry Groups

B.Dziewit, M.Zralek, S.Z.
Acta Physica Polonica B vol. 44 no. 11 (2013)

Majorana neutrino mass matrix with CP symmetry breaking

B.Dziewit, M.Zralek, S.Z.
Acta Physica Polonica B vol. 42 no. 11 (2011)

The method of the likelihood and the Fisher information in the construction of physical models.

E.W.Piotrowski, J.Sladkowski, J.Syska, S.Z.
Physica Status Solidi B vol. 246 no. 5 (2009)

Neutrino Oscillations in the case of general interactions

J.Syska, M.Zralek, S.Z.
Acta Physica Polonica B vol. 38 no. 11 (2007)

Monographs

Sztuczna inteligencja w przedsiębiorstwach i gospodarce (AI Spring 2024)

Editors: T. Doligalski, D. KaszyńskiOficyna Wydawnicza SGH (2025)

Modelowanie dla biznesu. Analityka w czasie rzeczywistym - narzędzia informatyczne i biznesowe

Editors: S. ZajacOficyna Wydawnicza SGH (2022)

The Credit scoring in the context of interpretable machine learning. Theory and Practice.

Editors: D. Kaszyński, B. Kamiński, T. Szapiro.Oficyna Wydawnicza SGH (2020)

Modelowanie dla biznesu. Metody machine learning, modele portfela Consumer Finance, modele rekurencyjne analizy przeżycia, modele skoringowe

Editors: K.Przanowski, S.ZajacOficyna Wydawnicza SGH (2020)

Education

University of Silesia in Katowice

Doctor of Philosophy17.09.2013

Advisor: prof. dr hab Marek Zrałek
Accelerator neutrino oscillations and their non-standard interactions (PL) View

Master of Science27.06.2007

Advisor: dr hab. Jerzy Król
Some geometrical and topological methods in classical and quantum field theory (PL). View

Bechelor of Science27.06.2005

Advisor: dr hab. Jacek Syska
Time Series analysis with ARMA and ARIMA processes. Application in SAS. (PL) View

Music School in Rybnik, I and II degree

Musician2004

Advisor: F. Prus
Accordeon class.

Talks &
Lectures

2025 Invited Talk
Quantum Measurement and Temporal Model Interpretation in QML
Quantum Machine Learning Conference 2025 · Quantum AI Foundation · Online
Discussed practical and theoretical issues of measuring quantum temporal models — interpreting measurement results in the context of time-series analysis and forecasting tasks.
2024 Invited Lecture
Quantum Computing for Business
intoDIGITAL: Economic Sciences in Times of Digital Technology · SGH Warsaw School of Economics
Lecture on possibilities of quantum computers and algorithms for optimisation problems and machine learning, with foundations in quantum physics relevant to AI development.
2024 Conference
Design Considerations for Denoising Quantum Time Series Autoencoder
24th International Conference on Computational Science (ICCS 2024) · Springer LNCS vol. 14837
Presented design decisions for variational quantum time series models and denoising autoencoders — data encoding, ansatz design, measurement interpretation, and deployment on quantum hardware.
2023–2025 Course
Introduction to Quantum Machine Learning
SGH Warsaw School of Economics · Course materials →
Annual graduate course covering quantum circuits, variational algorithms, quantum kernel methods, and NISQ-era QML. Materials and notebooks publicly available on GitHub.
2020–2025 Course
Real-Time Data Analytics
SGH Warsaw School of Economics, Big Data Programme · Course materials →
Lecture and lab series on streaming data architectures, Apache Spark, anomaly detection in real-time systems, and MLOps pipelines. One of the first such courses in Polish academia.
2024–2025 Course
Quantum Technologies
Kozminski University, Warsaw
Invited lecture series on quantum computing foundations and their business applications for graduate students in management and data science programmes.
Full presentations archive →