Preprints

• Aaron Sander, Rosaria Cercola, Andrea Capogrosso, Stefan Filipp, Bernhard Jobst, Christian B. Mendl, Frank Pollmann, Christopher Trummer, Isabell Welpe, Max Werninghaus, Robert Wille, Christian Wimmer
  Quantum Entrepreneurship Lab: Training a future workforce for the quantum industry
  arXiv:2505.06298
• Yu Wang, Zhangyu Yang, Christian B. Mendl
  Improved Lanczos algorithm using matrix product states
  arXiv:2504.21786
• Yanbin Chen, Innocenzo Fulginiti, Christian B. Mendl
  Optimization framework for reducing mid-circuit measurements and resets
  arXiv:2504.16579
• Yanbin Chen, Christian B. Mendl, Helmut Seidl
  Dead gate elimination
  arXiv:2504.12729
• Martina Nibbi, Luca Frediani, Evgueni Dinvay, Christian B. Mendl
  Wavefunction optimization at the complete basis set limit with Multiwavelets and DMRG
  arXiv:2503.10808
• Hazar Çakır, Richard M. Milbradt, Christian B. Mendl
  Optimal symbolic construction of matrix product operators and tree tensor network operators
  arXiv:2502.18630
• Aaron Sander, Maximilian Fröhlich, Martin Eigel, Jens Eisert, Patrick Gelß, Michael Hintermüller, Richard M. Milbradt, Robert Wille, Christian B. Mendl
  Large-scale stochastic simulation of open quantum systems
  arXiv:2501.17913
• Isabel Nha Minh Le, Shuo Sun, Christian B. Mendl
  Riemannian quantum circuit optimization based on matrix product operators
  arXiv:2501.08872
• Thilo R. Müller, Manuel Geiger, Christian B. Mendl
  Ground-state preparation of the Fermi-Hubbard model on a quantum computer with 2D topology via quantum eigenvalue transformation of unitary matrices
  arXiv:2411.18535
• Egor Agapov, Oriol Bertomeu, Andrés Carballo, Christian B. Mendl, Aaron Sander
  Predicting interacting Green's functions with neural networks
  arXiv:2411.13644
• Pedro Hack, Christian B. Mendl, Alexandru Paler
  Belief propagation for general graphical models with loops
  arXiv:2411.04957
• Nathaniel Tornow, Christian B. Mendl, Pramod Bhatotia
  Quantum-classical computing via tensor networks
  arXiv:2410.15080
• Yu Wang, Maxine Luo, Christian B. Mendl
  Enhanced Krylov methods for molecular Hamiltonians: Reduced memory cost and complexity scaling via tensor hypercontraction
  arXiv:2409.12708
• Emiliano Godinez-Ramirez, Richard M. Milbradt, Christian B. Mendl
  A Riemannian approach to the Lindbladian dynamics of a locally purified tensor network
  arXiv:2409.08127
• Richard M. Milbradt, Qunsheng "Keefe" Huang, Christian B. Mendl
  PyTreeNet: A Python library for easy utilisation of tree tensor networks
  arXiv:2407.13249
  Source code: github.com/Drachier/PyTreeNet
• Pedro Hack, Christian B. Mendl
  Universality and classification of elementary thermal operations
  arXiv:2312.11223
• Daniel Haag, Richard M. Milbradt, Christian B. Mendl
  Correlations in disordered solvable tensor network states
  arXiv:2309.04776
• Wiktor Jurasz, Christian B. Mendl
  Quantum Wasserstein GANs for state preparation at unseen points of a phase diagram
  arXiv:2309.09543
• Amr Elsharkawy, Xiao-Ting Michelle To, Philipp Seitz, Yanbin Chen, Yannick Stade, Manuel Geiger, Qunsheng Huang, Xiaorang Guo, Muhammad Arslan Ansari, Christian B. Mendl, Dieter Kranzlmüller, Martin Schulz
  Integration of quantum accelerators with high performance computing - A review of quantum programming tools
  arXiv:2309.06167

2025

• Peter J. Eder, Jernej Rudi Finžgar, Sarah Braun, Christian B. Mendl
  Quantum dissipative search via Lindbladians
  Phys. Rev. A 111, 042430 (2025), arXiv:2407.11782
• Shuo Sun, Chandan Kumar, Kevin Shen, Elvira Shishenina, Christian B. Mendl
  Evaluating ground state energies of chemical systems with low-depth quantum circuits and high accuracy
  J. Phys. Chem. A 129, 2379-2386 (2025), arXiv:2402.13960
• Erenay Karacan, Yanbin Chen, Christian B. Mendl
  Enhancing scalability of quantum eigenvalue transformation of unitary matrices for ground state preparation through adaptive finer filtering
  Quantum 9, 1624 (2025), arXiv:2401.09091

2024

• Martina Nibbi, Christian B. Mendl
  Block encoding of matrix product operators
  Phys. Rev. A 110, 042427 (2024), arXiv:2312.08861
• Philipp Seitz, Manuel Geiger, Christian Ufrecht, Axel Plinge, Christopher Mutschler, Daniel D. Scherer, Christian B. Mendl
  SCIM MILQ: An HPC quantum scheduler
  2024 IEEE International Conference on Quantum Computing and Engineering (QCE), 292-298 (2024), arXiv:2404.03512
• Yanbin Chen, Innocenzo Fulginiti, Christian B. Mendl
  Reducing mid-circuit measurements via probabilistic circuits
  2024 IEEE International Conference on Quantum Computing and Engineering (QCE), 952-958 (2024), arXiv:2405.13747
• Philipp Seitz, Manuel Geiger, Christian B. Mendl
  Multithreaded parallelism for heterogeneous clusters of QPUs
  ISC High Performance 2024 Research Paper Proceedings (39th International Conference), 1-8 (2024), arXiv:2311.17490
• Manuel Schnaus, Lilly Palackal, Benedikt Poggel, Xiomara Runge, Hans Ehm, Jeanette Miriam Lorenz, Christian B. Mendl
  Efficient encodings of the travelling salesperson problem for variational quantum algorithms
  2024 IEEE International Conference on Quantum Software (QSW), 81-87 (2024), arXiv:2404.05448
• Mihail Stoian, Richard M. Milbradt, Christian B. Mendl
  On the optimal linear contraction order of tree tensor networks, and beyond
  SIAM J. Sci. Comput. 46, B647-B668 (2024), arXiv:2209.12332
• Richard M. Milbradt, Qunsheng "Keefe" Huang, Christian B. Mendl
  State diagrams to determine tree tensor network operators
  SciPost Phys. Core 7, 036 (2024), arXiv:2311.13433
• Jernej Rudi Finžgar, Aron Kerschbaumer, Martin J. A. Schuetz, Christian B. Mendl, Helmut G. Katzgraber
  Quantum-informed recursive optimization algorithms
  PRX Quantum 5, 020327 (2024), arXiv:2308.13607
• Ayse Kotil, Rahul Banerjee, Qunsheng "Keefe" Huang, Christian B. Mendl
  Riemannian quantum circuit optimization for Hamiltonian simulation
  J. Phys. A: Math. Theor. 57, 135303 (2024), arXiv:2212.07556

2023

• Ansgar Schubert, Christian B. Mendl
  Trotter error with commutator scaling for the Fermi-Hubbard model
  Phys. Rev. B 108, 195105 (2023), arXiv:2306.10603
• David Winderl, Qunsheng "Keefe" Huang, Christian B. Mendl
  A recursively partitioned approach to architecture-aware ZX polynomial synthesis and optimization
  2023 IEEE International Conference on Quantum Computing and Engineering (QCE), Bellevue, WA, USA, 837-847 (2023), arXiv:2303.17366
• Lilly Palackal, Benedikt Poggel, Matthias Wulff, Hans Ehm, Jeanette Miriam Lorenz, Christian B. Mendl
  Quantum-assisted solution paths for the capacitated vehicle routing problem
  2023 IEEE International Conference on Quantum Computing and Engineering (QCE), Bellevue, WA, USA, 648-658 (2023), arXiv:2304.09629
• Amine Bentellis, Andrea Matic-Flierl, Christian B. Mendl, Jeanette Miriam Lorenz
  Benchmarking the Variational Quantum Eigensolver using different quantum hardware
  2023 IEEE International Conference on Quantum Computing and Engineering (QCE), Bellevue, WA, USA, 518-523 (2023), arXiv:2305.07092
• Guido Mazzuca, Tamara Grava, Thomas Kriecherbauer, Kenneth T-R McLaughlin, Christian B. Mendl, Herbert Spohn
  Equilibrium spacetime correlations of the Toda lattice on the hydrodynamic scale
  J. Stat. Phys. 190, 149 (2023), arXiv:2301.02431
• Irene López Gutiérrez, Felix Dietrich, Christian B. Mendl
  Quantum process tomography of unitary maps from time-delayed measurements
  Quantum Inf. Process. 22, 251 (2023), arXiv:2112.09021
• Philipp Seitz, Ismael Medina, Esther Cruz, Qunsheng "Keefe" Huang, Christian B. Mendl
  Simulating quantum circuits using tree tensor networks
  Quantum 7, 964 (2023), arXiv:2206.01000
• Richard Milbradt, Lisa Scheller, Christopher Aßmus, Christian B. Mendl
  Ternary unitary quantum lattice models and circuits in 2 + 1 dimensions
  Phys. Rev. Lett. 130, 090601 (2023), arXiv:2206.01499
• Simon Wiedemann, Daniel Hein, Steffen Udluft, Christian B. Mendl
  Quantum policy iteration via amplitude estimation and Grover search - Towards quantum advantage for reinforcement learning
  Transactions on Machine Learning Research (03/2023), arXiv:2206.04741
• Theodora-Augustina Drăgan, Maureen Monnet, Christian B. Mendl, Jeanette Miriam Lorenz
  Quantum reinforcement learning for solving a stochastic frozen lake environment and the impact of quantum architecture choices
  ICAART 2023 15th International Conference on Agents and Artificial Intelligence, RP-103, arXiv:2212.07932

2022

• Alona Sakhnenko, Corey O'Meara, Kumar J. B. Ghosh, Christian B. Mendl, Giorgio Cortiana, Juan Bernabé-Moreno
  Hybrid classical-quantum autoencoder for anomaly detection
  Quantum Mach. Intell. 4, 27 (2022), arXiv:2112.08869
• Raúl Berganza Gómez, Corey O'Meara, Giorgio Cortiana, Christian B. Mendl, Juan Bernabé-Moreno
  Towards AutoQML: A cloud-based automated circuit architecture search framework
  2022 IEEE 19th International Conference on Software Architecture Companion (ICSA-C), 129-136 (2022), arXiv:2202.08024
• Qunsheng "Keefe" Huang, Christian B. Mendl
  Classical simulation of quantum circuits using a multiqubit Bloch vector representation of density matrices
  Phys. Rev. A 105, 022409 (2022), arXiv:2103.13962
• Christian B. Mendl, Herbert Spohn
  High-low pressure domain wall for the classical Toda lattice
  SciPost Phys. Core 5, 002 (2022), arXiv:2011.11008
• Irene López Gutiérrez, Christian B. Mendl
  Real time evolution with neural-network quantum states
  Quantum 6, 627 (2022), arXiv:1912.08831

2021

• Benjamin Zanger, Christian B. Mendl, Martin Schulz, Martin Schreiber
  Quantum algorithms for solving ordinary differential equations via classical integration methods
  Quantum 5, 502 (2021), arXiv:2012.09469
• Christian B. Mendl, Folkmar Bornemann
  Efficient numerical evaluation of thermodynamic quantities on infinite (semi-)classical chains
  J. Stat. Phys. 182, 57 (2021), arXiv:2006.13587
• Christian B. Mendl, Marco Polini, Andrew Lucas
  Coherent terahertz radiation from a nonlinear oscillator of viscous electrons
  Appl. Phys. Lett. 118, 013105 (2021), arXiv:1909.11093

2020

• Lisa Sahlmann, Christian B. Mendl
  GuiTeNet: A graphical user interface for tensor networks
  J. Open Res. Softw. 8(1), 29 (2020), arXiv:1808.00532
  Online demo at guitenet.org
• Avijit Das, Kedar Damle, Abhishek Dhar, David A. Huse, Manas Kulkarni, Christian B. Mendl, Herbert Spohn
  Nonlinear fluctuating hydrodynamics for the classical XXZ spin chain
  J. Stat. Phys. 180, 238-262 (2020), arXiv:1901.00024

2019

• Christian B. Mendl, Jan Carl Budich
  Stability of dynamical quantum phase transitions in quenched topological insulators: From multiband to disordered systems
  Phys. Rev. B 100, 224307 (2019), arXiv:1909.01402
• Giuseppe Carleo et al.
  NetKet: A machine learning toolkit for many-body quantum systems
  SoftwareX 10, 100311 (2019), arXiv:1904.00031
• Christian B. Mendl
  Fourier's law and many-body quantum systems
  C. R. Physique 20, 442-448 (2019)

2018

• Zi-Xiang Li, Abolhassan Vaezi, Christian B. Mendl, Hong Yao
  Numerical observation of emergent spacetime supersymmetry at quantum criticality
  Sci. Adv. 4, eaau1463 (2018), arXiv:1711.04772
• Christian B. Mendl
  PyTeNet: A concise Python implementation of quantum tensor network algorithms
  JOSS 3, 948 (2018)
  Source code: github.com/cmendl/pytenet/
• Christian B. Mendl, Andrew Lucas
  Dyakonov-Shur instability across the ballistic-to-hydrodynamic crossover
  Appl. Phys. Lett. 112, 124101 (2018), arXiv:1801.01501
• Edwin W. Huang, Christian B. Mendl, Hong-Chen Jiang, Brian Moritz, Thomas P. Devereaux
  Stripe order from the perspective of the Hubbard model
  npj Quantum Mater. 3, 22 (2018), arXiv:1709.02398
• Chunjing J. Jia, Yao Wang, Christian B. Mendl, Brian Moritz, Thomas P. Devereaux
  Paradeisos: a perfect hashing algorithm for many-body eigenvalue problems
  Comput. Phys. Commun. 224, 81-89 (2018), arXiv:1707.03974

2017

• Edwin W. Huang, Christian B. Mendl, Shenxiu Liu, Steven Johnston, Hong-Chen Jiang, Brian Moritz, Thomas P. Devereaux
  Numerical evidence of fluctuating stripes in the normal state of high-Tc cuprate superconductors
  Science 358, 1161-1164 (2017), arXiv:1612.05211
• Christian B. Mendl, Elizabeth A. Nowadnick, Edwin W. Huang, Steven Johnston, Brian Moritz, Thomas P. Devereaux
  Doping dependence of ordered phases and emergent quasiparticles in the doped Hubbard-Holstein model
  Phys. Rev. B 96, 205141 (2017), arXiv:1709.00245
• Annabelle Bohrdt, Christian B. Mendl, Manuel Endres, Michael Knap
  Scrambling and thermalization in a diffusive quantum many-body system
  New J. Phys. 19, 063001 (2017), arXiv:1612.02434
• Christian B. Mendl, Herbert Spohn
  Shocks, rarefaction waves, and current fluctuations for anharmonic chains
  J. Stat. Phys. 166, 841-875 (2017), arXiv:1607.05205

2016

• Christian B. Mendl, Jianfeng Lu, Jani Lukkarinen
  Thermalization of oscillator chains with onsite anharmonicity and comparison with kinetic theory
  Phys. Rev. E 94, 062104 (2016), arXiv:1608.08308
• Christian B. Mendl, Herbert Spohn
  Searching for the Tracy-Widom distribution in nonequilibrium processes
  Phys. Rev. E 93, 060101(R) (2016), arXiv:1512.06292
• Christian B. Mendl
  Efficient algorithm for many-electron angular momentum and spin diagonalization on atomic subshells
  Commun. Comput. Phys. 19, 192-204 (2016), arXiv:1409.6860

2015

• Christian B. Mendl, Herbert Spohn
  Low temperature dynamics of the one-dimensional discrete nonlinear Schrödinger equation
  J. Stat. Mech. (2015) P08028, arXiv:1505.04218
• Francesc Malet, André Mirtschink, Christian B. Mendl, Johannes Bjerlin, Elife Ö. Karabulut, Stephanie M. Reimann, Paola Gori-Giorgi
  Density functional theory for strongly-correlated bosonic and fermionic ultracold dipolar and ionic gases
  Phys. Rev. Lett. 115, 033006 (2015), arXiv:1502.01469
• Jianfeng Lu, Christian B. Mendl
  Numerical scheme for a spatially inhomogeneous matrix-valued quantum Boltzmann equation
  J. Comput. Phys. 291, 303-316 (2015), arXiv:1408.1782
• Christian B. Mendl, Herbert Spohn
  Current fluctuations for anharmonic chains in thermal equilibrium
  J. Stat. Mech. (2015) P03007, arXiv:1412.4609
• Christian B. Mendl
  Matrix-valued quantum lattice Boltzmann method
  Int. J. Mod. Phys. C 26, 1550113 (2015), arXiv:1309.1656
• Martin L. R. Fürst, Markus Kotulla, Christian B. Mendl, Herbert Spohn
  Quantum Boltzmann equation for spin-dependent reactions in the kinetic regime
  J. Phys. A: Math. Theor. 48, 095204 (2015), arXiv:1411.2576

2014

• Huajie Chen, Gero Friesecke, Christian B. Mendl
  Numerical methods for a Kohn-Sham density functional model based on optimal transport
  J. Chem. Theory Comput. 10, 4360-4368 (2014), arXiv:1405.7026
• Christian B. Mendl, Herbert Spohn
  Equilibrium time-correlation functions for one-dimensional hard-point systems
  Phys. Rev. E 90, 012147 (2014), arXiv:1403.0213
• Suman G. Das, Abhishek Dhar, Keiji Saito, Christian B. Mendl, Herbert Spohn
  Numerical test of hydrodynamic fluctuation theory in the Fermi-Pasta-Ulam chain
  Phys. Rev. E 90, 012124 (2014), arXiv:1404.7081
• Martin L. R. Fürst, Christian B. Mendl, Herbert Spohn
  Dynamics of the Bose-Hubbard chain for weak interactions
  Phys. Rev. B 89, 134311 (2014), arXiv:1312.6737
• Christian B. Mendl, Francesc Malet, Paola Gori-Giorgi
  Wigner localization in quantum dots from Kohn-Sham density functional theory without symmetry breaking
  Phys. Rev. B 89, 125106 (2014), arXiv:1311.6011

2013

• Christian B. Mendl, Herbert Spohn
  Dynamic correlators of Fermi-Pasta-Ulam chains and nonlinear fluctuating hydrodynamics
  Phys. Rev. Lett. 111, 230601 (2013), arXiv:1305.1209
• Gero Friesecke, Christian B. Mendl, Brendan Pass, Codina Cotar, Claudia Klüppelberg
  N-density representability and the optimal transport limit of the Hohenberg-Kohn functional
  J. Chem. Phys. 139, 164109 (2013), arXiv:1304.0679
• Martin L. R. Fürst, Christian B. Mendl, Herbert Spohn
  Matrix-valued Boltzmann equation for the nonintegrable Hubbard chain
  Phys. Rev. E 88, 012108 (2013), arXiv:1302.2075
• Christian B. Mendl, Lin Lin
  Kantorovich dual solution for strictly correlated electrons in atoms and molecules
  Phys. Rev. B 87, 125106 (2013), arXiv:1210.7117
• Christian B. Mendl, Steven Eliuk, Michelle Noga, and Pierre Boulanger
  Comprehensive analysis of high-performance computing methods for filtered back-projection
  ELCVIA 12(1): 1-16 (2013)

2012

• Martin L. R. Fürst, Christian B. Mendl, Herbert Spohn
  Matrix-valued Boltzmann equation for the Hubbard chain
  Phys. Rev. E 86, 031122 (2012), arXiv:1207.6926
• Christian B. Mendl
  Efficient algorithm for two-center Coulomb and exchange integrals of electronic prolate spheroidal orbitals
  J. Comput. Phys. 231, 5157-5175 (2012), arXiv:1203.6256

2011

• Christian B. Mendl
  The FermiFab toolbox for fermionic many-particle quantum systems
  Comput. Phys. Commun. 182, 1327-1337 (2011), arXiv:1103.0872

2010

• Christian B. Mendl, Gero Friesecke
  Efficient algorithm for asymptotics-based configuration-interaction methods and electronic structure of transition metal atoms
  J. Chem. Phys. 133, 184101 (2010), arXiv:1009.2013

2009

• Christian B. Mendl, Michael M. Wolf
  Unital quantum channels - Convex structure and revivals of Birkhoff's theorem
  Commun. Math. Phys. 289, 1057-1086 (2009), arXiv:0806.2820