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