Publications – Markus Müller

Preprints

Measurement-free, scalable and fault-tolerant universal quantum computing
F. Butt, D. F. Locher, K. Brechtelsbauer, H. P. Büchler, and M. Müller
arXiv:2410.13568 (2024)
Bosonic Quantum Error Correction with Neutral Atoms in Optical Dipole Traps
L. H. Bohnmann, D. F. Locher, J. Zeiher, and M. Müller
arXiv: 2408.14251 (2024)
Automated Synthesis of Fault-Tolerant State Preparation Circuits for Quantum Error Correction Codes
T. Peham, L. Schmid, L. Berent, M. Müller, and R. Wille
arXiv:2407.08566 (2024)
The XYZ ruby code: Making a case for a
three-colored graphical calculus for quantum error correction in spacetime
J. C. Magdalena de la Fuente, J. Old, A. Townsend-Teague, M. Rispler, J. Eisert, and M. Müller
arXiv:2407.08566 (2024)
Demonstration of two-dimensional connectivity for a scalable error-corrected ion-trap quantum processor architecture
M. Valentini, M. W. van Mourik, F. Butt, J. Wahl, M. Dietl, M. Pfeifer, F. Anmasser, Y. Colombe, C. Rössler, P. C. Holz, R. Blatt, M. Müller, T. Monz, and P. Schindler
arXiv:2406.02406 (2024)
Optimized measurement-free and fault-tolerant quantum error correction for neutral atoms
S. Veroni, M. Müller, G. Giudice
arXiv:2404.11663 (2024)
Lindblad-like quantum tomography for non-Markovian quantum dynamical maps
S. Varona, M. Müller, A. Bermudez
arXiv:2403.19799 (2024)
Experimental fault-tolerant code switching
I. Pogorelov, F. Butt, L. Postler, C. D. Marciniak, P. Schindler, M. Müller, T. Monz
arXiv:2403.13732 (2024)
Compressed-sensing Lindbladian quantum tomography with trapped ions
D. Dobrynin, L. Cardarelli, M. Müller, A. Bermudez
arXiv:2403.07462 (2024)
Quantum Circuit Discovery for Fault-Tolerant Logical State Preparation with Reinforcement Learning
R. Zen, J. Olle, L. Colmenarez, M. Puviani, M. Müller, F. Marquardt
arXiv:2402.17761 (2024)
Robustness and measurement-induced percolation of the surface code
T. Botzung, M. Buchhold, S. Diehl, and M. Müller
arXiv:2311.14338 (2023)

Peer-reviewed publications

Accurate optimal quantum error correction thresholds from coherent information
L. Colmenarez, Z.-M. Huang, S. Diehl, M. Müller
Physical Review Research 6, L042014 (2024)
Quantum cellular automata for quantum error correction and density classification
T. L. M. Guedes, D. Winter, and M. Müller
Physical Review Letters 133, 150601 (2024)
Noise-aware variational eigensolvers: a dissipative route for lattice gauge theories
J.Cobos, D.F.Locher, A.Bermudez, M.Müller, and E.Rico
PRX Quantum 5, 030340 (2024)
Lift-Connected Surface Codes
J. Old, M. Rispler, M. Müller
Quantum Science and Technology 9, 045012 (2024)
Demonstration of fault-tolerant Steane quantum error correction
L. Postler, F. Butt, I. Pogorelov, C. D. Marciniak, S. Heußen, R. Blatt, P. Schindler, M. Rispler, M. Müller, T. Monz
PRX Quantum 5, 030326 (2024)
Fault-Tolerant Code Switching Protocols for Near-Term Quantum Processors
F. Butt, S. Heußen, M. Rispler, and M. Müller
PRX Quantum 5, 020345 (2024)
Computational Capabilities and Compiler Development for Neutral Atom Quantum Processors: Connecting Tool Developers and Hardware Experts
L. Schmid, D. F. Locher, M. Rispler, S. Blatt, J. Zeiher, M. Müller, and R. Wille
Quantum Sci. Technol. 9, 033001 (2024)
Measurement-free fault-tolerant quantum error correction in near-term
devices
S. Heußen and D. F. Locher and M. Müller
PRX Quantum 5, 010333 (2024)
Dynamical subset sampling of quantum error correcting protocols
S. Heußen, D. Winter, M. Rispler, and M. Müller
Phys. Rev. Research 6, 013177 (2024)
Topological stripe state in an extended Fermi-Hubbard model
S. Julià-Farré, L. Cardarelli, M. Lewenstein, M. Müller, A. Dauphin
Phys. Rev. B 109, 075109 (2024)
Mean-field dynamics of open quantum systems with collective operator-valued rates: validity and application
E. Fiorelli, M. Müller, I. Lesanovsky, F. Carollo
New J. Phys. 25, 083010 (2023)
Optimal storage capacity of quantum Hopfield neural networks
L. Bödeker, E. Fiorelli, M. Müller
Physical Review Research 5, 023074 (2023)
Strategies for practical advantage of fault-tolerant circuit design in noisy trapped-ion quantum computers
S. Heußen, L. Postler, M. Rispler, I. Pogorelov, C. D. Marciniak, T. Monz, P. Schindler and M. Müller
Phys. Rev. A 107, 042422 (2023)
Accessing the topological Mott insulator in cold atom quantum simulators with realistic Rydberg dressing
L. Cardarelli, S. Julià-Farré, M. Lewenstein, A. Dauphin, and M. Müller
Quantum Sci. Technol. 8 025018 (2023)
Quantum Error Correction with Quantum Autoencoders
D. F. Locher, L. Cardarelli, and M. Müller
Quantum 7, 942 (2023)
Rescaling decoder for 2D topological quantum color codes on 4.8.8 lattices
P. Parrado-Rodriguez, M. Rispler, and M. Müller
Phys. Rev. A 106, 032431 (2022)
Characterizing quantum instruments: from non-demolition measurements to quantum error correction
R. Stricker, D. Vodola, A. Erhard, L. Postler, M. Meth, M. Ringbauer, P. Schindler, R. Blatt, M. Müller, T. Monz
PRX Quantum 3, 030318 (2022)
Experimental Bayesian calibration of trapped ion entangling operations
L. Gerster, F. Martínez-García, P. Hrmo, M. van Mourik, B. Wilhelm, D. Vodola, M. Müller, R. Blatt, P. Schindler, T. Monz
PRX Quantum 3, 020350 (2022)
Demonstration of fault-tolerant universal quantum gate operations
L. Postler, S. Heußen, I. Pogorelov, M. Rispler, T. Feldker, M. Meth, C. D. Marciniak, R. Stricker, M. Ringbauer, R. Blatt, P. Schindler, M. Müller, T. Monz
Nature 605, 675 (2022)
Realizing Repeated Quantum Error Correction in a Distance-Three Surface Code
S. Krinner, N. Lacroix, A. Remm, A. Di Paolo, E. Genois, C. Leroux, C. Hellings, S. Lazar, F. Swiadek, J. Herrmann, G. J. Norris, C. Kraglund Andersen, M. Müller, A. Blais, C. Eichler, A. Wallraff
Nature 605, 669 (2022)
Long-range Ising interactions mediated by λ φ^4 fields: probing the renormalisation of sound in crystals of trapped ions
G. Martin-Vazquez, G. Aarts, M. Müller, and A. Bermudez
PRX Quantum 3, 020352 (2022)
Analytical and experimental study of center line miscalibrations in Mølmer-Sørensen gates
F. Martínez-García, L. Gerster, D. Vodola, P. Hrmo, T. Monz, P. Schindler, and M. Müller
Phys. Rev. A 105, 032437 (2022)
Fault-tolerant parity readout on a shuttling-based trapped-ion quantum computer
J. Hilder, D. Pijn, O. Onishchenko, A. Stahl, M. Orth, B. Lekitsch, A. Rodriguez-Blanco, M. Müller, F. Schmidt-Kaler, U. Poschinger
Physical Review X 12, 011032 (2022)
Phase diagram of quantum generalized Potts-Hopfield neural networks
E. Fiorelli, I. Lesanovsky, M. Müller
New Journal of Physics 24, 033012 (2022)
Fundamental thresholds of realistic quantum error correction circuits from classical spin models
D. Vodola, M. Rispler, S. Kim, M. Müller
Quantum 6, 618 (2022)
Relaxation times do not capture logical qubit dynamics
A. K. Pal, P. Schindler, A. Erhard, Á. Rivas, M.-A. Martin-Delgado, R. Blatt, T. Monz, M. Müller
Quantum 6, 632 (2022)
Engineered dissipation induced entanglement transition in quantum spin chains: from logarithmic growth to area law
T. Botzung, S. Diehl, M. Müller
Phys. Rev. B 104, 184422 (2021)
Crosstalk suppression for fault-tolerant quantum error correction with trapped ions
P. Parrado-Rodríguez, C. Ryan-Anderson, A. Bermudez, M. Müller
Quantum 5, 487 (2021)
Efficient and robust certification of genuine multipartite entanglement in noisy quantum error correction circuits
A. Rodriguez-Blanco, A. Bermudez, M. Müller, F. Shahandeh
PRX Quantum 2, 020304 (2021)
Self-Trapped Polarons and Topological Defects in a Topological Mott Insulator
S. Julià-Farré, M. Müller, M. Lewenstein, A. Dauphin
Phys. Rev. Lett. 125, 240601 (2020)
Deterministic correction of qubit loss
R. Stricker, D. Vodola, A. Erhard, L. Postler, M. Meth, M. Ringbauer, P. Schindler, T. Monz, M. Müller, R. Blatt
Nature 585, 207 (2020)
Scalable characterization of localizable entanglement in noisy topological quantum codes
David Amaro, Markus Müller, Amit Kumar Pal
New J. Phys. 22, 053038 (2020)
Shuttling-based trapped-ion quantum information processing
V. Kaushal, B. Lekitsch, A. Stahl, J. Hilder, D. Pijn, C. Schmiegelow, A. Bermudez, M. Müller, F. Schmidt-Kaler, U. Poschinger
AVS Quantum Sci. 2, 014101 (2020)
Analytical percolation theory for topological color codes under qubit loss
D. Amaro, J. Bennett, D. Vodola, M. Müller
Phys. Rev. A 101, 032317 (2020)
Design and experimental performance of local entanglement witness operators
D. Amaro, M. Müller
Phys. Rev. A 101, 012317 (2020)
Algebraic localization from power-law couplings in disordered quantum wires
T. Botzung, D. Vodola, P. Naldesi, M. Müller, E. Ercolessi, G. Pupillo
Phys. Rev. B 100, 155136 (2019)
Fault-tolerant protection of near-term trapped-ion topological qubits under realistic noise sources
A. Bermudez, X. Xu, M. Gutiérrez, S. C. Benjamin, M. Müller
Phys. Rev. A 100, 062307 (2019)
Adaptive Bayesian phase estimation for quantum error correcting codes
F. Martínez-García, D. Vodola, M. Müller
New J. Phys. 21, 123027 (2019)
ZN gauge theories coupled to topological fermions:
QED2 with a quantum mechanical θ angle
G. Magnifico, D. Vodola, E. Ercolessi, S. P. Kumar, M. Müller, and A. Bermudez
Phys. Rev. B 100, 115152 (2019)
Transversality and lattice surgery: exploring realistic routes towards coupled logical qubits with trapped-ion quantum processors
M. Gutiérrez, M. Müller, and A. Bermudez
Phys. Rev. A. 99, 022330 (2019)
Symmetry-protected topological phases in lattice gauge theories: topological QED2
G. Magnifico, D. Vodola, E. Ercolessi, S. P. Kumar, M. Müller, A. Bermudez
Phys. Rev. D 99, 014503 (2019)
Experimental quantification of spatial correlations in quantum dynamics
L. Postler, A. Rivas, P. Schindler, A. Erhard, R. Stricker, D. Nigg, T. Monz, R. Blatt, M. Müller
Quantum 2, 90 (2018)
Twins Percolation for Qubit Losses in Topological Color Codes
D. Vodola, D. Amaro, M.A. Martin-Delgado, M. Müller
Phys. Rev. Lett. 121, 060501 (2018)
Estimating localizable entanglement from witnesses
D. Amaro, M. Müller, A. K. Pal
New Journal of Physics 20, 063017 (2018)
Open quantum generalisation of Hopfield neural networks
P. Rotondo, M. Marcuzzi, J. P. Garrahan, I. Lesanovsky, and M. Müller
Journal of Physics A: Mathematical and Theoretical 51, 115301 (2018)
Assessing the progress of trapped-ion processors towards fault-tolerant quantum computation
A. Bermudez, X. Xu, R. Nigmatullin, J. O'Gorman, V. Negnevitsky, P. Schindler, T. Monz, U. G. Poschinger, C. Hempel, J. Home, F. Schmidt-Kaler, M. Biercuk, R. Blatt, S. Benjamin, M. Müller
Physical Review X 7, 041061 (2017)
Micromotion-enabled improvement of quantum logic gates with trapped ions
Alejandro Bermudez, Philipp Schindler, Thomas Monz, Rainer Blatt, Markus Müller
New Journal of Physics 19, 113038 (2017)
Quantum sensors for the generating functional of interacting quantum field theories
A. Bermudez, G. Aarts, M. Müller
Physical Review X 7, 041012 (2017)
Iterative Phase Optimisation of Elementary Quantum Error Correcting Codes
M. Müller, A. Rivas, E. A. Martínez, D. Nigg, P. Schindler, T. Monz, R. Blatt, M. A. Martin-Delgado
Physical Review X 6, 031030 (2016)
Quantum simulation of a topological Mott insulator with Rydberg atoms in a Lieb lattice
A. Dauphin, M. Müller, M. A. Martin-Delgado
Phys. Rev. A 93, 043611 (2016)
Quantifying spatial correlations in general quantum dynamics
A. Rivas, M. Müller
New Journal of Physics 17, 062001 (2015)
Efficient algorithm to compute the Berry conductivity
A. Dauphin, M. Müller, M. A. Martin-Delgado
New Journal of Physics 16, 073016 (2014)
Quantum computations on a topologically encoded qubit
D. Nigg*, M. Müller*, E. A. Martinez, P. Schindler, M. Hennrich, T. Monz, M. A. Martin-Delgado, R. Blatt
Science 345, 302 (2014)
Quantum Google Algorithm: Construction and Application to Complex Networks
G. D. Paparo, M. Müller, F. Comellas, M. A. Martin-Delgado
European Journal of Physics 129 150 (2014)
Quantum Google in a Complex Network
G. D. Paparo, M. Müller, F. Comellas, M. A. Martin-Delgado
Scientific Reports 3, 2773 (2013).
Quantum Simulation of Dynamical Maps with Trapped Ions
P. Schindler*, M. Müller*, D. Nigg, J. T. Barreiro, E. A. Martinez, M. Hennrich, T. Monz, S. Diehl, P. Zoller, R. Blatt
Nature Physics 9, 361 (2013).
Atomic Quantum Simulation of Dynamical Gauge Fields coupled to Fermionic Matter: From String Breaking to Evolution after a Quench
D. Banerjee, M. Dalmonte, M. Müller, E. Rico, P. Stebler, U.-J. Wiese, P. Zoller
Phys. Rev. Lett. 109, 175302 (2012).
Rydberg-atom quantum simulation and Chern-number characterization of a topological Mott insulator
A. Dauphin, M. Müller and M. A. Martin-Delgado
Phys. Rev. A 86, 053618 (2012)
Engineered Open Systems and Quantum Simulations with Atoms and Ions
M. Müller*, S. Diehl*, G. Pupillo, P. Zoller
Advances in Atomic, Molecular, and Optical Physics 61, 1-80 (2012).
Digital Quantum Simulation with Rydberg Atoms
H. Weimer, M. Müller, H. P. Büchler, I. Lesanovsky
Quantum Inf Process 10, 885 (2011), Special Issue on Neutral Particles.
Spatial Pauli-blocking of spontaneous emission in optical lattices
R. M. Sandner, M. Müller, A. J. Daley, P. Zoller
Phys. Rev. A 84, 043825, (2011).
Universal digital quantum simulation with trapped ions
B. P. Lanyon, C. Hempel, D. Nigg, M. Müller, R. Gerritsma, F. Zähringer, P. Schindler, J. T. Barreiro, M. Rambach, G. Kirchmair, M. Hennrich, P. Zoller, R. Blatt, C. F. Roos
Science 334, 57 (2011).
Simulating open quantum systems: from many-body interactions to stabilizer pumping
M. Müller, K. Hammerer, Y. L. Zhou, C. F. Roos, P. Zoller
New Journal of Physics 13, 085007 (2011).
Rydberg excitation of trapped cold ions: A detailed case study
F. Schmidt-Kaler, T. Feldker, D. Kolbe, J. Walz, M. Müller, P. Zoller, W. LI, I. Lesanovsky
New Journal of Physics 13, 075014 (2011).
An open-system quantum simulator with trapped ions
J. T. Barreiro*, M. Müller*, P. Schindler, D. Nigg, T. Monz, M. Chwalla, M. Hennrich, C. F. Roos, P. Zoller, R. Blatt
Nature 470, 486, (2011).
Efficient quantum repeater based on deterministic Rydberg gates
B. Zhao, M. Müller, K. Hammerer, P. Zoller
Phys. Rev. A 81, 052329, (2010).
Thermalization of a strongly interacting 1D Rydberg lattice gas
B. Olmos, M. Müller, I. Lesanovsky
New Journal of Physics 12, 013024, (2010).
A Rydberg Quantum Simulator
H. Weimer, M. Müller, I. Lesanovsky, P. Zoller, H.-P. Büchler
Nature Phys. 6, 382 (2010).
Mesoscopic Rydberg Gate based on Electromagnetically Induced Transparency
M. Müller, I. Lesanovsky, H. Weimer, H. Büchler, P. Zoller
Phys. Rev. Lett. 102, 170502 (2009).
Trap assisted creation of giant molecules and Rydberg-mediated coherent charge transfer in a Penning trap
I. Lesanovsky, M. Müller, P. Zoller
Phys. Rev. A 79, 010701(R) (2009).
Trapped Rydberg Ions: From Spin Chains to Fast Quantum Gates
M. Müller, L. Liang, I. Lesanovsky, P. Zoller
New Journal of Physics 10, 093009, (2008).
Interaction-Induced Renormalization of Andreev Reflection
M. Titov, M. Müller, W. Belzig
Phys. Rev. Lett. 97, 237006, (2006).

*These authors contributed equally to the work.