Open Quantum Neural Networks: from Fundamental Concepts to Implementations with Atoms and Photons

Información del proyecto

QNets

Identificador del acuerdo de subvención: 804247

DOI

10.3030/804247

Proyecto cerrado

Fecha de la firma de la CE 4 Septiembre 2018

Fecha de inicio 1 Octubre 2019

Fecha de finalización 30 Septiembre 2025

Financiado con arreglo a

• EXCELLENT SCIENCE - European Research Council (ERC)

Coste total

€ 1 486 439,00

Aportación de la UE

€ 1 486 439,00

Coordinado por

FORSCHUNGSZENTRUM JULICH GMBH
Germany

CORDIS proporciona enlaces a los documentos públicos y las publicaciones de los proyectos de los programas marco HORIZONTE.

Los enlaces a los documentos y las publicaciones de los proyectos del Séptimo Programa Marco, así como los enlaces a algunos tipos de resultados específicos, como conjuntos de datos y «software», se obtienen dinámicamente de OpenAIRE .

Publicaciones

Peer reviewed articles (36)

Measurement-Free Quantum Error Correction Optimized for Biased Noise

Autores: Katharina Brechtelsbauer, Friederike Butt, David F. Locher, Santiago Higuera Quintero, Sebastian Weber, Markus Müller, Hans Peter Büchler
Publicado en: PRX Quantum, Edición 6, 2025, ISSN 2691-3399
Editor: American Physical Society (APS)
DOI: 10.1103/wsnf-prwl

Fundamental Thresholds for Computational and Erasure Errors via the Coherent Information

Autores: Luis Colmenarez, Seyong Kim, Markus Müller
Publicado en: PRX Quantum, Edición 6, 2025, ISSN 2691-3399
Editor: American Physical Society (APS)
DOI: 10.1103/d8rx-srpn

Experimental Bayesian Calibration of Trapped-Ion Entangling Operations

Autores: Lukas Gerster, Fernando Martínez-García ,Pavel Hrmo , Martin W. van Mourik ,Benjamin Wilhelm, Davide Vodola, Markus Müller, Rainer Blatt, Philipp Schindler, and Thomas Monz
Publicado en: PRX Quantum, 2022, ISSN 2691-3399
Editor: American Physical Society
DOI: 10.1103/prxquantum.3.020350

On the Interpretability of Neural Network Decoders

Autores: Lukas Bödeker, Luc J. B. Kusters, Markus Müller
Publicado en: Advanced Quantum Technologies, Edición 8, 2025, ISSN 2511-9044
Editor: Wiley
DOI: 10.1002/qute.202500158

Optimal storage capacity of quantum Hopfield neural networks

Autores: Lukas Bödeker; Eliana Fiorelli; Markus Müller
Publicado en: Physical review / Physics education research, Edición 5, 2022, Página(s) 023074, ISSN 2643-1564
Editor: American Physical Society
DOI: 10.1103/physrevresearch.5.023074

Compressed-sensing Lindbladian quantum tomography with trapped ions

Autores: Dmitrii Dobrynin, Lorenzo Cardarelli, Markus Müller, Alejandro Bermudez
Publicado en: Quantum Science and Technology, Edición 10, 2025, Página(s) 045041, ISSN 2058-9565
Editor: IOP Publishing
DOI: 10.1088/2058-9565/ae0363

Accessing the topological Mott insulator in cold atom quantum simulators with realistic Rydberg dressing

Autores: Lorenzo Cardarelli; Sergi Julià-Farré; Maciej Lewenstein; Alexandre Dauphin; Markus Müller
Publicado en: Quantum science and technology, Edición 8(2), 2023, Página(s) 025018, ISSN 2058-9565
Editor: IOP Pubishing
DOI: 10.1088/2058-9565/acbc45

Demonstration of fault-tolerant universal quantum gate operations

Autores: Lukas Postler; Sascha Heuβen; Ivan Pogorelov; Manuel Rispler; Thomas Feldker; Michael Meth; Christian D. Marciniak; Roman Stricker; Martin Ringbauer; Rainer Blatt; Philipp Schindler; Markus Müller; Thomas Monz
Publicado en: Nature, Edición 605(7911), 2022, Página(s) 675 - 680, ISSN 1476-4687
Editor: Nature Potfolio
DOI: 10.1038/s41586-022-04721-1

Characterizing Quantum Instruments: From Nondemolition Measurements to Quantum Error Correction

Autores: Roman Stricker; Davide Vodola; Alexander Erhard; Lukas Postler; Michael Meth; Martin Ringbauer; Philipp Schindler; Rainer Blatt; Markus Müller; Thomas Monz
Publicado en: PRX Quantum, Edición 2, 2022, ISSN 2691-3399
Editor: American Physical Society
DOI: 10.18154/rwth-2022-08526

Optimized measurement-free and fault-tolerant quantum error correction for neutral atoms

Autores: Stefano Veroni, Markus Müller, Giacomo Giudice
Publicado en: Physical Review Research, Edición 6, 2024, ISSN 2643-1564
Editor: American Physical Society (APS)
DOI: 10.1103/physrevresearch.6.043253

Engineered dissipation induced entanglement transition in quantum spin chains: from logarithmic growth to area law

Autores: Thomas Botzung; Thomas Botzung; Sebastian Diehl; Markus Müller; Markus Müller
Publicado en: Phys. Rev. B, Edición 104, 184422, 2021, ISSN 2469-9950
Editor: American Institute of Physics
DOI: 10.1103/physrevb.104.184422

Taming Thiemann’s Hamiltonian constraint in canonical loop quantum gravity: Reversibility, eigenstates, and graph-change analysis

Autores: T. L. M. Guedes, G. A. Mena Marugán, M. Müller, F. Vidotto
Publicado en: Physical Review D, Edición 112, 2025, ISSN 2470-0010
Editor: American Physical Society (APS)
DOI: 10.1103/hjdk-kdhk

Quantum Error Correction with Quantum Autoencoders

Autores: David F. Locher; Lorenzo Cardarelli; Markus Müller
Publicado en: Quantum, Edición 7, 2023, Página(s) 942, ISSN 2521-327X
Editor: Association for the Promotion of Open Access Publishing in the Quantum Sciences
DOI: 10.22331/q-2023-03-09-942

Demonstration of Two-Dimensional Connectivity for a Scalable Error-Corrected Ion-Trap Quantum Processor Architecture

Autores: 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, A. Bermudez, M. Müller, T. Monz, P. Schindler
Publicado en: Physical Review X, Edición 15, 2025, ISSN 2160-3308
Editor: American Physical Society
DOI: 10.1103/b9s1-6r44

Quantum Circuit Discovery for Fault-Tolerant Logical State Preparation with Reinforcement Learning

Autores: Remmy Zen, Jan Olle, Luis Colmenarez, Matteo Puviani, Markus Müller, Florian Marquardt
Publicado en: Physical Review X, Edición 15, 2025, ISSN 2160-3308
Editor: American Physical Society
DOI: 10.1103/gqpr-dgz7

Fault-Tolerant Code Switching Protocols for Near-Term Quantum Processors

Autores: Butt, Friederike; Heußen, Sascha; Rispler, Manuel; Müller, Markus
Publicado en: PRX QUANTUM, Edición 5, 2024, Página(s) 020345, ISSN 2691-3399
Editor: American Physical Society
DOI: 10.1103/prxquantum.5.020345

Self-Trapped Polarons and Topological Defects in a Topological Mott Insulator

Autores: Sergi Julià-Farré, Markus Müller, Maciej Lewenstein, Alexandre Dauphin
Publicado en: Physical Review Letters, Edición 125/24, 2020, Página(s) 240601, ISSN 0031-9007
Editor: American Physical Society
DOI: 10.1103/physrevlett.125.240601

Topological stripe state in an extended Fermi-Hubbard model

Autores: Sergi Julià-Farré; Lorenzo Cardarelli; Maciej Lewenstein; Markus Müller; Alexandre Dauphin
Publicado en: Physical review B, Edición 109, 2024, Página(s) 075109, ISSN 2469-9969
Editor: American Physical Society}
DOI: 10.1103/physrevb.109.075109

Fault-Tolerant Stabilizer Measurements in Surface Codes with Three-Qubit Gates

Autores: Josias Old, Stephan Tasler, Michael J. Hartmann, Markus Müller
Publicado en: Physical Review Letters, Edición 135, 2025, ISSN 0031-9007
Editor: American Physical Society
DOI: 10.1103/sblg-fbq4

Efficient and Robust Certification of Genuine Multipartite Entanglement in Noisy Quantum Error Correction Circuits

Autores: Andrea Rodriguez-Blanco, Alejandro Bermudez, Markus Müller, Farid Shahandeh
Publicado en: PRX Quantum, Edición 2/2, 2021, Página(s) 020304, ISSN 2691-3399
Editor: American Physical Society (APS)
DOI: 10.1103/prxquantum.2.020304

"Long-Range Ising Interactions Mediated by<mml:math xmlns:mml=""http://www.w3.org/1998/Math/MathML"" display=""inline"" overflow=""scroll""><mml:mi>λ</mml:mi><mml:msup><mml:mi>ϕ</mml:mi><mml:mn>4</mml:mn></mml:msup></mml:math>Fields: Probing the Renormalization of Sound in Crystals of Trapped Ions"

Autores: G. Martín-Vázquez, G. Aarts, M. Müller, A. Bermudez
Publicado en: PRX Quantum, Edición 3, 2023, ISSN 2691-3399
Editor: American Physical Society (APS)
DOI: 10.1103/prxquantum.3.020352

Strategies for a practical advantage of fault-tolerant circuit design in noisy trapped-ion quantum computers

Autores: Heußen, Sascha; Postler, Lukas; Rispler, Manuel; Pogorelov, Ivan; Marciniak, Christian D.; Monz, Thomas; Schindler, Philipp; Müller, Markus
Publicado en: Physical Review A, Edición 107, 2023, Página(s) 042422, ISSN 1094-1622
Editor: American Physical Society
DOI: 10.1103/physreva.107.042422

Computing the Graph-Changing Dynamics of Loop Quantum Gravity

Autores: Thiago L. M. Guedes, Guillermo A. Mena Marugán, Francesca Vidotto, Markus Müller
Publicado en: Universe, Edición 11, 2025, Página(s) 387, ISSN 2218-1997
Editor: MDPI AG
DOI: 10.3390/universe11120387

Mean-field dynamics of open quantum systems with collective operator-valued rates: validity and application

Autores: Eliana Fiorelli; Markus Müller; Igor Lesanovsky; Federico Carollo
Publicado en: New Journal of Physics, Edición 25 (8), 2023, Página(s) 083010, ISSN 1367-2630
Editor: Institute of Physics Publishing
DOI: 10.1088/1367-2630/ace470

Automated Synthesis of Fault-Tolerant State Preparation Circuits for Quantum Error-Correction Codes

Autores: Tom Peham, Ludwig Schmid, Lucas Berent, Markus Müller, Robert Wille
Publicado en: PRX Quantum, Edición 6, 2025, ISSN 2691-3399
Editor: American Physical Society (APS)
DOI: 10.1103/prxquantum.6.020330

Lift-connected surface codes

Autores: Josias Old, Manuel Rispler, Markus Müller
Publicado en: Quantum Science and Technology, Edición 9, 2024, Página(s) 045012, ISSN 2058-9565
Editor: IOP Publishing
DOI: 10.1088/2058-9565/ad5eb6

Coherent information as a mixed-state topological order parameter of fermions

Autores: Ze-Min Huang, Luis Colmenarez, Markus Müller, Sebastian Diehl
Publicado en: Physical Review Research, Edición 7, 2025, ISSN 2643-1564
Editor: American Physical Society (APS)
DOI: 10.1103/fx56-8nvy

Two-qubit gate protocols with microwave-dressed Rydberg ions in a linear Paul trap

Autores: Joseph W P Wilkinson, Katrin Bolsmann, Thiago L M Guedes, Markus Müller, Igor Lesanovsky
Publicado en: New Journal of Physics, Edición 27, 2025, Página(s) 064502, ISSN 1367-2630
Editor: Institute of Physics Publishing
DOI: 10.1088/1367-2630/add494

Phase diagram of quantum generalized Potts-Hopfield neural networks

Autores: Eliana Fiorelli; Igor Lesanovsky; Markus Müller
Publicado en: New Journal of Physics, Edición 24, 033012, 2022, ISSN 1367-2630
Editor: Institute of Physics Publishing
DOI: 10.1088/1367-2630/ac5490

Fault-tolerant parity readout on a shuttling-based trapped-ion quantum computer

Autores: J. Hilder; D. Pijn; O. Onishchenko; A. Stahl; M. Orth; B. Lekitsch; A. Rodriguez-Blanco; M. Müller; F. Schmidt-Kaler; U. G. Poschinger
Publicado en: Physical Review X, Edición 12, 011032, 2022, ISSN 2160-3308
Editor: American Physical Society
DOI: 10.1103/physrevx.12.011032

Dynamical subset sampling of quantum error-correcting protocols

Autores: Sascha Heußen; Don Winter; Manuel Rispler; Markus Müller
Publicado en: Physical Review Research, Edición 6, 2024, Página(s) 013177, ISSN 2643-1564
Editor: American Physical Society
DOI: 10.1103/physrevresearch.6.013177

Bosonic quantum error correction with neutral atoms in optical dipole traps

Autores: Leon H. Bohnmann, David F. Locher, Johannes Zeiher, Markus Müller
Publicado en: Physical Review A, Edición 111, 2025, ISSN 2469-9926
Editor: American Physical Society (APS)
DOI: 10.1103/physreva.111.022432

Long-range Ising interactions mediated by $λϕ^4$ fields: probing the renormalisation of sound in crystals of trapped ions

Autores: Martín-Vázquez, G.; Aarts, G.; Müller, Markus; Bermudez, A.
Publicado en: PRX Quantum, Edición 3(2), 2022, Página(s) 020352, ISSN 2691-3399
Editor: American Physical Society
DOI: 10.48550/arxiv.2105.06886

Scalable characterization of localizable entanglement in noisy topological quantum codes

Autores: David Amaro, Markus Müller, Amit Kumar Pal
Publicado en: New Journal of Physics, Edición 22/5, 2020, Página(s) 053038, ISSN 1367-2630
Editor: Institute of Physics Publishing
DOI: 10.1088/1367-2630/ab84b3

Lindblad-like quantum tomography for non-Markovian quantum dynamical maps

Autores: S. Varona, M. Müller, A. Bermudez
Publicado en: npj Quantum Information, Edición 11, 2025, ISSN 2056-6387
Editor: Springer Science and Business Media LLC
DOI: 10.1038/s41534-025-01044-7

Measurement-Free Fault-Tolerant Quantum Error Correction in Near-Term Devices

Autores: Heußen, Sascha; Locher, David; Müller, Markus
Publicado en: PRX Quantum, Edición 5, 2024, Página(s) 010333, ISSN 2691-3399
Editor: American Physical Society
DOI: 10.1103/prxquantum.5.010333

Non-peer reviewed articles (3)

Demonstration of Fault-Tolerant Steane Quantum Error Correction

Autores: Lukas Postler, Friederike Butt, Ivan Pogorelov, Christian D. Marciniak, Sascha Heußen, Rainer Blatt, Philipp Schindler, Manuel Rispler, Markus Müller, Thomas Monz
Publicado en: PRX Quantum, Edición 5, 2025, ISSN 2691-3399
Editor: American Physical Society (APS)
DOI: 10.1103/prxquantum.5.030326

Robustness and measurement-induced percolation of the surface code

Autores: T Botzung, M Buchhold, S Diehl, M Müller
Publicado en: Journal of Physics A: Mathematical and Theoretical, Edición 58, 2025, Página(s) 205304, ISSN 1751-8113
Editor: Institute of Physics Publishing
DOI: 10.1088/1751-8121/add2e3

Accurate optimal quantum error correction thresholds from coherent information

Autores: Luis Colmenarez, Ze-Min Huang, Sebastian Diehl, Markus Müller
Publicado en: Physical Review Research, Edición 6, 2024, ISSN 2643-1564
Editor: American Physical Society (APS)
DOI: 10.1103/physrevresearch.6.l042014

Other (5)

The random coupled-plaquette gauge model and the surface code under circuit-level noise

Autores: Manuel Rispler, Davide Vodola, Markus Müller, Seyong Kim
Publicado en: 2024
Editor: arXiv

Optical time-domain quantum state tomography on a subcycle scale

Autores: Hubenschmid, Emanuel; Guedes, Thiago L. M.; Burkard, Guido
Publicado en: arXiv, Edición 2307, 2023, Página(s) 13090
Editor: Cornell Tech
DOI: 10.48550/arxiv.2307.13090

Experimental fault-tolerant code switching

Autores: Ivan Pogorelov, Friederike Butt, Lukas Postler, Christian D. Marciniak, Philipp Schindler, Markus Müller, Thomas Monz
Publicado en: 2024
Editor: arXiv

Measurement-free, scalable and fault-tolerant universal quantum computing

Autores: F. Butt, D. F. Locher, K. Brechtelsbauer, H. P. Büchler, and M. Müller
Publicado en: 2024
Editor: arXiv

Quantum cellular automata for quantum error correction and density classification

Autores: Guedes, Thiago L. M.; Winter, Don; Müller, Markus
Publicado en: https://arxiv.org/abs/2309.03608, 2023, ISSN 2331-8422
Editor: Cornell Tech
DOI: 10.48550/arxiv.2309.03608