Preprints

  1. Compressed-sensing Lindbladian quantum tomography with trapped ions
    D. Dobrynin, L. Cardarelli, M. Müller, A. Bermudez
    arXiv:2403.07462 (2024)
  2. 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)
  3. Lift-Connected Surface Codes
    J. Old, M. Rispler, M. Müller
    arXiv:2401.02911 (2024)
  4. 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
    arXiv:2312.09745 (2023)
  5. Accurate optimal quantum error correction thresholds from coherent information
    L. Colmenarez, Z.-M. Huang, S. Diehl, M. Müller
    arXiv:2312.06664 (2023)
  6. Robustness and measurement-induced percolation of the surface code
    T. Botzung, M. Buchhold, S. Diehl, and M. Müller
    arXiv:2311.14338 (2023)
  7. 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
    arXiv:2309.08656 (2023)
  8. Quantum cellular automata for quantum error correction and density classification
    T. L. M. Guedes, D. Winter, and M. Müller
    arXiv:2309.03608 (2023)
  9. Noise-aware variational eigensolvers: a dissipative route for lattice gauge theories
    J.Cobos, D.F.Locher, A.Bermudez, M.Müller, and E.Rico
    arXiv:2308.03618 (2023)
  10. Fault-Tolerant Code Switching Protocols for Near-Term Quantum Processors
    F. Butt, S. Heußen, M. Rispler, and M. Müller
    arXiv:2306.17686 (2023)

Peer-reviewed publications

  1. 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)
  2. Dynamical subset sampling of quantum error correcting protocols
    S. Heußen, D. Winter, M. Rispler, and M. Müller
    Phys. Rev. Research 6, 013177 (2024)
  3. 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)
  4. 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)
  5. Optimal storage capacity of quantum Hopfield neural networks
    L. Bödeker, E. Fiorelli, M. Müller
    Physical Review Research 5, 023074 (2023)
  6. 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)
  7. 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)
  8. Quantum Error Correction with Quantum Autoencoders
    D. F. Locher, L. Cardarelli, and M. Müller
    Quantum 7, 942 (2023)
  9. 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)
  10. 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)
  11. 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)
  12. 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)
  13. 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)
  14. 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)
  15. 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)
  16. 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)
  17. Phase diagram of quantum generalized Potts-Hopfield neural networks
    E. Fiorelli, I. Lesanovsky, M. Müller
    New Journal of Physics 24, 033012 (2022)
  18. Fundamental thresholds of realistic quantum error correction circuits from classical spin models
    D. Vodola, M. Rispler, S. Kim, M. Müller
    Quantum 6, 618 (2022)
  19. 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)
  20. 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)
  21. 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)
  22. 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)
  23. 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)
  24. 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)
  25. Scalable characterization of localizable entanglement in noisy topological quantum codes
    David Amaro, Markus Müller, Amit Kumar Pal
    New J. Phys. 22, 053038 (2020)
  26. 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)
  27. Analytical percolation theory for topological color codes under qubit loss
    D. Amaro, J. Bennett, D. Vodola, M. Müller
    Phys. Rev. A 101, 032317 (2020)
  28. Design and experimental performance of local entanglement witness operators
    D. Amaro, M. Müller
    Phys. Rev. A 101, 012317 (2020)
  29. 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)
  30. 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)
  31. Adaptive Bayesian phase estimation for quantum error correcting codes
    F. Martínez-García, D. Vodola, M. Müller
    New J. Phys. 21, 123027 (2019)
  32. 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)
  33. 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)
  34. 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)
  35. 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)
  36. 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)
  37. Estimating localizable entanglement from witnesses
    D. Amaro, M. Müller, A. K. Pal
    New Journal of Physics 20, 063017 (2018)
  38. 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)
  39. 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)
  40. 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)
  41. Quantum sensors for the generating functional of interacting quantum field theories
    A. Bermudez, G. Aarts, M. Müller
    Physical Review X 7, 041012 (2017)

  42. 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)
  43. 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)
  44. Quantifying spatial correlations in general quantum dynamics
    A. Rivas, M. Müller
    New Journal of Physics 17, 062001 (2015)
  45. Efficient algorithm to compute the Berry conductivity
    A. Dauphin, M. Müller, M. A. Martin-Delgado
    New Journal of Physics 16, 073016 (2014)
  46. 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)
  47. 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)
  48. Quantum Google in a Complex Network
    G. D. Paparo, M. Müller, F. Comellas, M. A. Martin-Delgado
    Scientific Reports 3, 2773 (2013).
  49. 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).
  50. 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).
  51. 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)
  52. 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).
  53. 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.
  54. 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).
  55. 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).
  56. 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).
  57. 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).
  58. 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).
  59. Efficient quantum repeater based on deterministic Rydberg gates
    B. Zhao, M. Müller, K. Hammerer, P. Zoller
    Phys. Rev. A 81, 052329, (2010).
  60. Thermalization of a strongly interacting 1D Rydberg lattice gas
    B. Olmos, M. Müller, I. Lesanovsky
    New Journal of Physics 12, 013024, (2010).
  61. A Rydberg Quantum Simulator
    H. Weimer, M. Müller, I. Lesanovsky, P. Zoller, H.-P. Büchler
    Nature Phys. 6, 382 (2010).
  62. Mesoscopic Rydberg Gate based on Electromagnetically Induced Transparency
    M. Müller, I. Lesanovsky, H. Weimer, H. Büchler, P. Zoller
    Phys. Rev. Lett. 102, 170502 (2009).
  63. 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).
  64. 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).
  65. 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.

 Proceedings

  1. Digital and Open-System Quantum Simulation with Trapped Ions
    M. Müller, P. Zoller
    Schrödinger Symposium Proceedings, 2011
  2. Open-System Quantum Simulation with Atoms and Ions
    P. Zoller, J. T. Barreiro, M. Müller
    Proceedings of the 20th International Conference on Laser Spectroscopy ICOLS 2011

Thesis

  1. Many-Body Quantum Simulation with Rydberg Atoms and Ions
    M. Müller (2011)
    Click to download thesis (20MB) >