Here, you can find a list of my publications. You are also welcome to check my papers on arXiv and my Google Scholar profile.
- Anticoncentration and State Design of Doped Real Clifford Circuits and Tensor Networks
- Beatrice Magni, Markus Heinrich, Lorenzo Leone, Xhek Turkeshi
- arXiv:2512.15880 (2025)
- Anti-concentration is (almost) all you need
- Markus Heinrich, Jonas Haferkamp, Ingo Roth, Jonas Helsen
- arXiv:2510.23719 (2025)
- Symmetry-accelerated classical simulation of Clifford-dominated circuits
- Giulio Camillo, Filipa C. R. Peres, Markus Heinrich, Juani Bermejo-Vega
- arXiv:2510.18977 (2025)
- Free Independence and Unitary Design from Random Matrix Product Unitaries
- Neil Dowling, Jacopo De Nardis, Markus Heinrich, Xhek Turkeshi, Silvia Pappalardi
- arXiv:2508.00051 (2025)
- Will it glue? On short-depth designs beyond the unitary group
- Lorenzo Grevink, Jonas Haferkamp, Markus Heinrich, Jonas Helsen, Marcel Hinsche, Thomas Schuster, Zoltán Zimborás
- arXiv:2506.23925 (2025)
- General, efficient, and robust Hamiltonian engineering
- Pascal Baßler, Markus Heinrich, and Martin Kliesch
- PRX Quantum 6, 040346 (2025) [open access]
- Bosonic randomized benchmarking with passive transformations
- Mirko Arienzo, Dmitry Grinko, Martin Kliesch, Markus Heinrich
- PRX Quantum 6, 020305 (2025) [open access]
- Stability of classical shadows under gate-dependent noise
- Raphael Brieger, Markus Heinrich, Ingo Roth, and Martin Kliesch
- Phys. Rev. Lett. 134, 090801 (2025); arXiv:2310.19947
- Time-optimal multi-qubit gates: Complexity, efficient heuristic and gate-time bounds
- Pascal Baßler, Markus Heinrich, and Martin Kliesch
- Quantum 8, 1279 (2024) [open access]
- Randomized benchmarking with random quantum circuits
- Markus Heinrich, Martin Kliesch, and Ingo Roth
- arXiv:2212.06181 (2022); Extended abstract
- Closed-form analytic expressions for shadow estimation with brickwork circuits
- Mirko Arienzo, Markus Heinrich, Ingo Roth, and Martin Kliesch
- Quantum Information and Computation 23, 961 (2023) [open access]
- Synthesis of and compilation with time-optimal multi-qubit gates
- Pascal Baßler, Matthias Zipper, Christopher Cedzich, Markus Heinrich, Patrick Huber, Michael Johanning, and Martin Kliesch
- Quantum 7, 984 (2023) [open access]
- The axiomatic and the operational approaches to resource theories of magic do not coincide
- Arne Heimendahl, Markus Heinrich, and David Gross
- Journal of Mathematical Physics 63, 112201 (2022); arXiv:2011.11651
- Efficient Unitary Designs with a System-Size Independent Number of Non-Clifford Gates
- Jonas Haferkamp, Felipe Montealegre-Mora, Markus Heinrich, Jens Eisert, David Gross, and Ingo Roth
- Communications in Mathematical Physics 397, 995 (2023) [open access]
- Robustness of Magic and Symmetries of the Stabiliser Polytope
- Markus Heinrich and David Gross
- Quantum 3, 132 (2019) [open access]
PhD thesis
Markus Heinrich
On stabiliser techniques and their application to simulation and certification of quantum devices
University of Cologne, Germany, 2021