Felix Huber

PhD and postdoc positions available in my group at U. Gdańsk! See Jobs.

I am an Assistant Professor at the Institute of Informatics at the University of Gdańsk. Previously, I was Junior Professor (tenure-track) for Quantum Algorithms at the Bordeaux Computer Science Laboratory, heading the Quantum information and Computation Group. Between 2021 to 2023 I led the Quantum Error Correction Group at the Jagiellonian University in Kraków.

I was a postdoctoral fellow in the groups of Antonio Acín at ICFO Barcelona and David Gross at the University of Cologne. I received my PhD at the University of Siegen under the supervision of Otfried Gühne. My thesis won the 2019 Dissertation Prize by the section AMOP of the German Physical Society.

I am an Editor at Quantum (2024-) and served as program committee member for QIP 2025.

Contact: felix.huber@physik.uni-siegen.de

Research Interests

My interests are in quantum correlations like entanglement and nonlocality, quantum error correction (theory & experimental proposals), quantum computing, mathematical optimization, and non-commutative algebra.

I enjoy problems such as quantum Max Cut, the quantum marginal problem, uncertainty relations, the detection of entanglement, quantum zero-error communication, and coding bounds. In noncommutative algebra I worked on tensor polynomial identities and matrix inequalities.

Team

Previous members:

Projects/Grants

Publications

You can find my work on arXiv, ORCiD, and Google Scholar.

[35] Holographic quantum codes with trapped ions
Alex Steiner, Gerard Anglès Munné, Robert Freund, Ivan Pogorelov, Michael Meth, Robert J. Harris, Gavin Brennen, Thomas M. Stace, Thomas Monz, Rainer Blatt, Felix Huber, Martin Ringbauer
arxXiv:2607.16503

[34] A 0.651-approximation to quantum Max Cut via Rydberg atoms
Tomás Crosta, Matthieu Saubanere, and Felix Huber
arXiv:2606.27224

[33] Complete entanglement detection using polynomial invariants
Thomas C. Fraser, Vjosa Blakaj, Roberto Rubboli, Felix Huber, Marco Fanizza
arXiv:2606.16712

[32] Combining moment matrices, symmetric extension, and Lovász theta: Φ_E8 is entangled
Jȩdrzej Stempin, Gerard A. Munné, Santiago Llorens, and Felix Huber
arXiv:2605.13832

[31] SDP bounds on quantum codes: rational certificates
Gerard A. Munné and Felix Huber
arXiv:2603.19901

[30] Lovász theta and Shearer lower bounds on Quantum Max Cut
Felix Huber
arXiv:2512.20326

[29] Quasi-Clifford to qubit mappings
Felix Huber
arXiv:2508.01470

[28] On two maximally entangled couples
Felix Huber and Jens Siewert
arXiv:2506.21282; Quantum Science and Technology 11 015025 (2026)

[27] Positivity of state, trace, and moment polynomials, and applications in quantum information
Felix Huber, Victor Magron, and Jurij Volčič
arXiv:2412.12342. In: Alpay, D., Sabadini, I., Colombo, F. (eds) (2025) Operator Theory

[26] Second order cone relaxations for quantum Max Cut
Felix Huber, Kevin Thompson, Ojas Parekh, and Sevag Gharibian
arxiv:2411.04120

[25] SDP bounds on quantum codes
Gerard Anglès Munné, Andrew Nemec, and Felix Huber
arXiv:2408.10323

[24] Uncertainty relations from state polynomial optimization
Moisés Bermejo Morán and Felix Huber
arXiv:2310.00612. Physical Review Letters 132, 200202 (2024)

[23] Entanglement detection with trace polynomials
Albert Rico and Felix Huber
arXiv:2303.07761. Physical Review Letters 132, 070202 (2024)

[22] Bell inequalities with overlapping measurements
Moisés Bermejo Morán, Alejandro Pozas-Kerstjens, and Felix Huber
arXiv:2303.02127. Physical Review Letters 131, 080201 (2023)

[21] Refuting spectral compatibility of quantum marginals
Felix Huber and Nikolai Wyderka
arXiv:2211.06349. Quantum 9, 1918 (2025)

[20] Engineering holography with stabilizer graph codes
Gerard Anglès Munné, Valentin Kasper, and Felix Huber
arXiv:2209.08954. npj Quantum Information 10, 48 (2024)

[19] Positive maps from the walled Brauer algebra
Maria Balanzó-Juandó, Michał Studziński, and Felix Huber
arXiv:2112.12738. Journal of Physics A: Mathematical and Theoretical 57 115202 (2024)

[18] Dimension-free entanglement detection in multipartite Werner states
Felix Huber
Oberwohlfach report Geometry and Optimization in Quantum Information (2021)

[17] Dimension-free entanglement detection in multipartite Werner states
Felix Huber, Igor Klep, Victor Magron, and Jurij Volčič
arXiv:2108.08720. Communications in Mathematical Physics 396, 1051–1070 (2022)

[16] Matrix forms of immanant inequalities
Felix Huber and Hans Maassen
arXiv:2103.04317

[15] Conjugate logic
Niklas Johansson, Felix Huber, and Jan-Åke Larsson
arXiv:2102.06572. Chapter in The Quantum-Like Revolution: A Festschrift for Andrei Khrennikov, 157-180, Springer International Publishing (2023)

[14] Tensor polynomial identities
Felix Huber and Claudio Procesi
arXiv:2011.04362. Israel Journal of Mathematics 247, 125-147 (2022)

[13] Universal quantum computation and quantum error correction with ultracold atomic mixtures
Valentin Kasper, Daniel González-Cuadra, Apoorva Hegde, Andy Xia, Alexandre Dauphin, Felix Huber, Eberhard Tiemann, Maciej Lewenstein, Fred Jendrzejewski, and Philipp Hauke
arXiv:2010.15923. Quantum Science and Technology 7, 015008 (2021)

[12] Entropic proofs of Singleton bounds for quantum error-correcting codes
Markus Grassl, Felix Huber, and Andreas Winter
arXiv:2010.07902. IEEE Transactions on Information Theory 68, 6 (2022)

[11] Quantum error-correcting codes and their geometries
Simeon Ball, Aina Centelles, and Felix Huber
arXiv:2007.05992. Annales de l’Institut Henri Poincaré D: Combinatorics, Physics and their Interactions, 10(2), 337-405 (2023)

[10] Positive maps and trace polynomials from the symmetric group
Felix Huber
arXiv:2002.12887. Journal of Mathematical Physics 62, 022203 (2021)

[9] Quantum codes of maximal distance and highly entangled subspaces
Felix Huber and Markus Grassl
arXiv:1907.07733. Quantum 4, 284 (2020)

[8] Exponentially many entanglement and correlation constraints for multipartite quantum states
Christopher Eltschka, Felix Huber, Otfried Gühne, and Jens Siewert
arXiv:1807.09165. Physical Review A 98, 052317 (2018)

[7] Some Ulam’s reconstruction problems for quantum states
Felix Huber and Simone Severini
arXiv:1802.00783. Journal of Physics A: Mathematical and Theoretical 51, 435301 (2018)

[6] Quantum States and their Marginals: From Multipartite Entanglement to Quantum Error-Correcting Codes
Felix Huber
PhD Thesis, Universität Siegen (2018)

[5] Constraints on correlations in multiqubit systems
Nikolai Wyderka, Felix Huber, and Otfried Gühne
arXiv:1710.00758. Physical Review A 97, 060101(R) (2018)

[4] Bounds on absolutely maximally entangled states from shadow inequalities, and the quantum MacWilliams identity
Felix Huber, Christopher Eltschka, Jens Siewert, and Otfried Gühne
arXiv:1708.06298. Journal of Physics A: Mathematical and Theoretical 51, 175301 (2018)
Selected for Highlights 2018 of the Journal of Physics A: Mathematical and Theoretical.

[3] Almost all four-particle pure states are determined by their two-body marginals
Nikolai Wyderka, Felix Huber, and Otfried Gühne;
arXiv:1703.10950. Physical Review A 96, 010102(R) (2017)

[2] Absolutely maximally entangled states of seven qubits do not exist
Felix Huber, Otfried Gühne, and Jens Siewert
arXiv:1608.06228. Physical Review Letters 118, 200502 (2017)

[1] Characterizing ground and thermal states of few-body Hamiltonians
Felix Huber and Otfried Gühne
arXiv:1601.01630. Physical Review Letters 117, 010403 (2016)

Software

Teaching

Theme's credit