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Doctorate defended in quantum circuit optimization on April 28, 2026

University of Luxembourg

Research spanning ZX-calculus, quantum circuit optimization, search algorithms, mathematical optimization, and scientific computing.

3 bachelor's degrees, 2 master's degrees, and a doctorate defended in 2026

Luxembourg, Germany, and France

International physics and computer science education across German-, French-, and English-speaking academic systems.

Young Academics Grant recipient

Institute of Advanced Studies Luxembourg

YOUNG ACADEMICS-2022-NETCOM

Best poster award, PhD Day 2023, 2nd place

University of Luxembourg

Honorable mention, Poster presentation, Exhaustive Search for Quantum Circuit Optimization using ZX-Calculus

EQAI 2025

Published work in quantum circuit optimization and computational biophysics

Reproducible HPC experiments scaling to 3200 CPUs

Maintainer of a NixOS-related open-source project with approximately 40,000 Firefox add-on derivations

Doctoral Researcher

University of Luxembourg

• Formalized metric-independent quantum circuit optimization in the ZX-calculus setting.
• Developed search algorithms targeting two-qubit and T-gate reductions in ZX-diagram optimization.
• Designed an extensible ZX-calculus-based quantum circuit optimization framework integrating with existing transpilation pipelines.
• Taught discrete mathematics with a focus on intuition, rigor, and applicability.
• Mentored master's students on predicting software energy consumption with neural networks.
• Recipient of the Young Academics grant from the Institute of Advanced Studies Luxembourg (YOUNG ACADEMICS-2022-NETCOM)
• Won second place in the PhD Day 2023 best poster award.

Research Assistant

University of Luxembourg

• Implemented high-performance stochastic simulation software in modern C++.
• Executed reproducible large-scale stochastic simulation experiments across 3200 CPUs on HPC infrastructure.
• Developed automated visualization pipelines for large-scale simulation analysis.

Doctoral Researcher / PhD

University of Luxembourg

Quantum circuit optimization, ZX calculus, search algorithms, scientific computing

• Thesis: "End-to-End Quantum Circuit Optimization using ZX-Calculus"
• Thesis defended on April 28, 2026

M.Sc. Physics

Universität des Saarlandes

Computational biophysics, molecular dynamics simulation

• Thesis: "Hydration shell of intrinsically disordered proteins"

M.Sc. Condensed Matter Physics

University of Luxembourg

Condensed matter physics

B.Sc. Physics

Universität des Saarlandes

Physics

• Thesis: "Molekulardynamik Simulationen von Hydrophobin-Doppelschichten"

Bachelor en Science et Ingénierie

University of Luxembourg

Filière physique

Licence Physique-Chimie

Université de Lorraine

Parcours physique

How protein hydration depends on amino acid composition, peptide conformation, and force fields

Johanna-Barbara Linse, Tobias Michael Fischbach and Jochen Sebastian Hub

Biophysical Journal

Exhaustive Search for Quantum Circuit Optimization using ZX Calculus

Tobias Michael Fischbach, Pierre Talbot and Pascal Bouvry

International Conference on Optimization and Learning (OLA2025)

A Review on Quantum Circuit Optimization using ZX-Calculus

Tobias Michael Fischbach, Pierre Talbot and Pascal Bouvry

Challenges in Automatic Software Optimization: the Energy Efficiency Case

Tobias Michael Fischbach, Emmanuel Kieffer and Pascal Bouvry

International Conference on Optimization and Learning (OLA2023)

Quantum Circuit Optimization Framework Using ZX Calculus

Framework for end-to-end quantum circuit optimization using ZX-calculus-based rewriting and search.

• Implemented standard search strategies including depth-first search, iterative deepening depth-first search, limited discrepancy search, and lexicographic search.
• Developed a local-elimination algorithm targeting T-gate reductions and practical state-space decomposition.
• Introduced pruning conditions for tractable state-space exploration under non-terminating rewrite systems.
• Integrated the framework with existing quantum compilation and transpilation pipelines under reproducible experiment workflows.

Declarative Firefox Addons for NixOS and Home-Manager

Open-source infrastructure for declarative Firefox add-on management in NixOS and Home Manager.

• Maintain a repository with approximately 40,000 Nix derivations for Firefox add-ons.
• Built and automated the scraper pipeline that keeps add-on metadata and derivations up to date.
• Contributed upstream tooling to automatically generate the Zotero derivation.

Measuring the Energy Consumption of Computation

Research infrastructure for studying software energy consumption under controlled experimental conditions.

• Built measurement infrastructure by adding current sensors to standard x86 motherboards.
• Synchronized physical power measurements with perf-based software measurements.
• Created a minimal Linux/NixOS-based environment to reduce runtime variability and improve reproducibility.

Modern Stochastic Simulation Algorithms

Large-scale simulation tooling for chemical reaction networks and rare-event sampling.

• Implemented Monte Carlo simulation methods for chemical reaction networks with rare-event sampling.
• Developed scalable software in modern C++ with OpenMP and MPI support.
• Analyzed non-equilibrium network current and entropy production in computational experiments.
• Executed reproducible large-scale experiments on HPC systems with up to 3200 CPUs.

Hydration Shell Score of Intrinsically Disordered Proteins

Computational biophysics project combining simulation, automation, and quantitative protein analysis.

• Simulated intrinsically disordered proteins with Gromacs for hydration-shell analysis.
• Automated protein structure generation across varying surface amino-acid configurations.
• Developed an amino-acid score to quantify impact on SAXS measurements.
• Automated simulation and data-analysis workflows.

End-to-End Quantum Circuit Optimization using ZX-Calculus

Tobias M. Fischbach

PhD Defense, University of Luxembourg

Defense talk presenting an end-to-end ZX-based optimization pipeline that combines metric-agnostic diagram rewriting with extraction-aware optimization and benchmarking.

A Review on Quantum Circuit Optimization using ZX-Calculus

Tobias M. Fischbach, Pierre Talbot, and Pascal Bouvry

International ZX-Seminar

Overview talk on ZX-based quantum circuit optimization and introduction of the ZX-Benchmark framework.

EQAI 2025: Exhaustive Search for Quantum Circuit Optimization using ZX Calculus

Tobias M. Fischbach, Pierre Talbot, and Pascal Bouvry

EQAI 2025 Summer School Poster

Poster presentation on exhaustive search for ZX-diagram optimization and the case for smarter search strategies, including machine learning support. Honorable mention.

OLA 2025: Exhaustive Search for Quantum Circuit Optimization using ZX Calculus

Tobias M. Fischbach, Pierre Talbot, and Pascal Bouvry

International Conference on Optimization and Learning 2025

Conference talk on exact search methods for optimizing quantum circuits with ZX-calculus.

OLA 2023: Challenges in Automatic Software Optimization: the Energy Efficiency Case

Tobias M. Fischbach, Emmanuel Kieffer, and Pascal Bouvry

International Conference on Optimization and Learning 2023

Conference talk on energy-aware optimization of software using LLVM compiler passes.