The DOI matches its Crossref record; 31 of the 31 references it cites were found in a registry or an index.
Digital quantum simulation of fermionic models with a superconducting circuit
Open accessAbstract
One of the key applications of quantum information is simulating nature. Fermions are ubiquitous in nature, appearing in condensed matter systems, chemistry and high energy physics. However, universally simulating their interactions is arguably one of the largest challenges, because of the difficulties arising from anticommutativity. Here we use digital methods to construct the required arbitrary interactions, and perform quantum simulation of up to four fermionic modes with a superconducting quantum circuit. We employ in excess of 300 quantum logic gates, and reach fidelities that are consistent with a simple model of uncorrelated errors. The presented approach is in principle scalable to a larger number of modes, and arbitrary spatial dimensions.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Simulating physics with computers
Feynman, R. P. (1982) · International Journal of Theoretical Physics · doi:10.1007/bf02650179 · Cited by 7,691
Electron correlations in narrow energy bands
Hubbard, J. (1963) · Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences · doi:10.1098/rspa.1963.0204 · Cited by 6,699
Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics
Wallraff, A., Schuster, D. I., Blais, A., Frunzio, L., Huang, R. S., Majer, J., Kumar, S., Girvin, S. M., & Schoelkopf, R. J. (2004) · Nature · doi:10.1038/nature02851 · Cited by 3,796
Lloyd, S. (1996) · Science · doi:10.1126/science.273.5278.1073 · Cited by 3,088
�ber das Paulische �quivalenzverbot
Jordan, P., & Wigner, E. (1928) · Zeitschrift f�r Physik · doi:10.1007/bf01331938 · Cited by 2,597
Superconducting quantum circuits at the surface code threshold for fault tolerance
Barends, R., Kelly, J., Megrant, A., Veitia, A., Sank, D., Jeffrey, E., White, T. C., Mutus, J., Fowler, A. G., Campbell, B., et al. (2014) · Nature · doi:10.1038/nature13171 · Cited by 1,733
Self-citationAltland, A., & Simons, B. D. (2010) · Cambridge University Press eBooks · doi:10.1017/cbo9780511789984 · Cited by 1,601
Computational Complexity and Fundamental Limitations to Fermionic Quantum Monte Carlo Simulations
Troyer, M., & Wiese, U.-J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.170201 · Cited by 1,246
A Mott insulator of fermionic atoms in an optical lattice
Jördens, R., Strohmaier, N., Günter, K., Moritz, H., & Esslinger, T. (2008) · Nature · doi:10.1038/nature07244 · Cited by 1,038
About the Pauli exclusion principle
Jordán, P., & Wigner, E. P. (1928) · Cited by 951
State preservation by repetitive error detection in a superconducting quantum circuit
Kelly, J., Barends, R., Fowler, A. G., Megrant, A., Jeffrey, E., White, T. C., Sank, D., Mutus, J. Y., Campbell, B., Chen, Y., et al. (2015) · Nature · doi:10.1038/nature14270 · Cited by 916
Self-citationSuzuki, M. (1990) · Physics Letters A · doi:10.1016/0375-9601(90)90962-n · Cited by 853
Coherent Josephson Qubit Suitable for Scalable Quantum Integrated Circuits
Barends, R., Kelly, J., Megrant, A., Sank, D., Jeffrey, E., Chen, Y., Yin, Y., Chiaro, B., Mutus, J., Neill, C., et al. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.080502 · Cited by 779
Self-citationSimulating Physics with Computers
Feynman, R. P. (2018) · Feynman and Computation · doi:10.1201/9780429500459-11 · Cited by 731
Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice
Schneider, U., Hackermüller, L., Will, S., Best, T., Bloch, I., Costi, T. A., Helmes, R. W., Rasch, D., & Rosch, A. (2008) · Science · doi:10.1126/science.1165449 · Cited by 720
Universal Digital Quantum Simulation with Trapped Ions
Lanyon, B. P., Hempel, C., Nigg, D., Müller, M., Gerritsma, R., Zähringer, F., Schindler, P., Barreiro, J. T., Rambach, M., Kirchmair, G., et al. (2011) · Science · doi:10.1126/science.1208001 · Cited by 613
Fast Accurate State Measurement with Superconducting Qubits
Jeffrey, E., Sank, D., Mutus, J. Y., White, T. C., Kelly, J., Barends, R., Chen, Y., Chen, Z., Chiaro, B., Dunsworth, A., et al. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.190504 · Cited by 449
Self-citationSchneider, U., Hackermüller, L., Ronzheimer, J. P., Will, S., Braun, S., Best, T., Bloch, I., Demler, E., Mandt, S., Rasch, D., et al. (2012) · Nature Physics · doi:10.1038/nphys2205 · Cited by 443
Short-Range Quantum Magnetism of Ultracold Fermions in an Optical Lattice
Greif, D., Uehlinger, T., Jotzu, G., Tarruell, L., & Esslinger, T. (2013) · Science · doi:10.1126/science.1236362 · Cited by 402
Non-standard Hubbard models in optical lattices: a review
Dutta, O., Gajda, M., Hauke, P., Lewenstein, M., Lühmann, D.-S., Malomed, B. A., Sowiński, T., & Zakrzewski, J. (2015) · Reports on Progress in Physics · doi:10.1088/0034-4885/78/6/066001 · Cited by 389
Optimal Quantum Control Using Randomized Benchmarking
Kelly, J., Barends, R., Campbell, B., Chen, Y., Chen, Z., Chiaro, B., Dunsworth, A., Fowler, A. G., Hoi, I.-C., Jeffrey, E., et al. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.240504 · Cited by 247
Self-citationSingle-qubit-gate error below10−4in a trapped ion
Brown, K. R., Wilson, A. C., Colombe, Y., Ospelkaus, C., Meier, A. M., Knill, E., Leibfried, D., & Wineland, D. J. (2011) · Physical Review A · doi:10.1103/physreva.84.030303 · Cited by 214
Process verification of two-qubit quantum gates by randomized benchmarking
Córcoles, A. D., Gambetta, J. M., Chow, J. M., Smolin, J. A., Ware, M., Strand, J., Plourde, B. L. T., & Steffen, M. (2013) · Physical Review A · doi:10.1103/physreva.87.030301 · Cited by 211
Fast adiabatic qubit gates using onlyσzcontrol
Martinis, J. M., & Geller, M. R. (2014) · Physical Review A · doi:10.1103/physreva.90.022307 · Cited by 195
Self-citationQuantum Simulation of Interacting Fermion Lattice Models in Trapped Ions
Casanova, J., Mezzacapo, A., Lamata, L., & Solano, E. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.190502 · Cited by 118
Self-citationQubit Metrology of Ultralow Phase Noise Using Randomized Benchmarking
O’Malley, P. J. J., Kelly, J., Barends, R., Campbell, B., Chen, Y., Chen, Z., Chiaro, B., Dunsworth, A., Fowler, A. G., Hoi, I.-C., et al. (2015) · Physical Review Applied · doi:10.1103/physrevapplied.3.044009 · Cited by 93
Self-citationFermion-Fermion Scattering in Quantum Field Theory with Superconducting Circuits
García-Álvarez, L., Casanova, J., Mezzacapo, A., Egusquiza, I. L., Lamata, L., Romero, G., & Solano, E. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.070502 · Cited by 85
Self-citationEfficient quantum simulation of fermionic and bosonic models in trapped ions
Lamata, L., Mezzacapo, A., Casanova, J., & Solano, E. (2014) · EPJ Quantum Technology · doi:10.1140/epjqt9 · Cited by 56
Self-citationRolling quantum dice with a superconducting qubit
Barends, R., Kelly, J., Veitia, A., Megrant, A., Fowler, A. G., Campbell, B., Chen, Y., Chen, Z., Chiaro, B., Dunsworth, A., et al. (2014) · Physical Review A · doi:10.1103/physreva.90.030303 · Cited by 35
Self-citationFermionic models with superconducting circuits
Heras, U. L., García-Álvarez, L., Mezzacapo, A., Solano, E., & Lamata, L. (2015) · EPJ Quantum Technology · doi:10.1140/epjqt/s40507-015-0021-5 · Cited by 26
Self-citationError matrices in quantum process tomographyPreprint
Korotkov, A. N. (2013) · arXiv (Cornell University) · doi:10.48550/arxiv.1309.6405 · Cited by 9
Cited by
Superconducting Qubits: Current State of Play
Kjaergaard, M., Schwartz, M. E., Braumüller, J., Krantz, P., Wang, J. I.-J., Gustavsson, S., & Oliver, W. D. (2020) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031119-050605 · Cited by 1,544
Microwave photonics with superconducting quantum circuits
Gu, X., Kockum, A. F., Miranowicz, A., Liu, Y.-X., & Nori, F. (2017) · Physics Reports · doi:10.1016/j.physrep.2017.10.002 · Cited by 1,307
Characterizing quantum supremacy in near-term devices
Boixo, S., Isakov, S. V., Smelyanskiy, V. N., Babbush, R., Ding, N., Jiang, Z., Bremner, M. J., Martinis, J. M., & Neven, H. (2018) · Nature Physics · doi:10.1038/s41567-018-0124-x · Cited by 1,175
Self-citationObservation of a many-body dynamical phase transition with a 53-qubit quantum simulator
Zhang, J., Pagano, G., Hess, P. W., Kyprianidis, A., Becker, P., Kaplan, H., Gorshkov, A. V., Gong, Z.-X., & Monroe, C. (2017) · Nature · doi:10.1038/nature24654 · Cited by 1,079
Quantum information processing with superconducting circuits: a review
Wendin, G. (2017) · Reports on Progress in Physics · doi:10.1088/1361-6633/aa7e1a · Cited by 890
Metadata
- Authors
- Barends, R., Lamata, L., Kelly, J., García-Álvarez, L., Fowler, A. G., Megrant, A., Jeffrey, E., White, T. C., Sank, D., Mutus, J. Y., Campbell, B., Chen, Y., Chen, Z., Chiaro, B., Dunsworth, A., Hoi, I.-C., Neill, C., O’Malley, P. J. J., Quintana, C., Roushan, P., Vainsencher, A., Wenner, J., Solano, E., & Martinis, J. M.
- Venue
- Nature Communications
- Published
- 2015-07-08
- Volume
- 6
- Issue
- 1
- Pages
- 7654-7654
- ISSN
- 2041-1723 (ISSN-L)
- OpenAlex
- W1870671750
- Cited by
- 338
- References
- 31
- FWCI
- 41.29
- Type
- journal article
- Language
- en
- Open access
- gold
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
