The DOI matches its Crossref record; 17 of the 17 references it cites were found in a registry or an index.
Experimental quantum Hamiltonian learning
Open accessAbstract
With the help of a quantum simulator and Bayesian inference it is possible to determine the unknown Hamiltonian of a quantum system. An experiment demonstrates this using a photonic quantum simulator and a solid-state system. The efficient characterization of quantum systems1,2,3, the verification of the operations of quantum devices4,5,6 and the validation of underpinning physical models7,8,9, are central challenges for quantum technologies10,11,12 and fundamental physics13,14. The computational cost of such studies could be improved by machine learning enhanced by quantum simulators15,16. Here we interface two different quantum systems through a classical channel—a silicon-photonics quantum simulator and an electron spin in a diamond nitrogen–vacancy centre—and use the former to learn the Hamiltonian of the latter via Bayesian inference. We learn the salient Hamiltonian parameter with an uncertainty of approximately 10−5. Furthermore, an observed saturation in the learning algorithm suggests deficiencies in the underlying Hamiltonian model, which we exploit to further improve the model. We implement an interactive version of the protocol and experimentally show its ability to characterize the operation of the quantum photonic device.
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Citations
Cites
Simulating physics with computers
Feynman, R. P. (1982) · International Journal of Theoretical Physics · doi:10.1007/bf02650179 · Cited by 7,691
A variational eigenvalue solver on a photonic quantum processor
Peruzzo, A., McClean, J., Shadbolt, P., Yung, M.-H., Zhou, X.-Q., Love, P. J., Aspuru-Guzik, A., & O’Brien, J. L. (2014) · Nature Communications · doi:10.1038/ncomms5213 · Cited by 4,552
Self-citationLloyd, S. (1996) · Science · doi:10.1126/science.273.5278.1073 · Cited by 3,088 · cited 1×
“However, predicting behaviour in the exponentially large configuration space of quantum systems is known to be intractable to classical computing machines [18, 19].”
BackgroundSuperconducting 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
Buhrman, H., Cleve, R., Watrous, J., & de Wolf, R. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.167902 · Cited by 1,190
Heralded entanglement between solid-state qubits separated by three metres
Bernien, H., Hensen, B., Pfaff, W., Koolstra, G., Blok, M. S., Robledo, L., Taminiau, T. H., Markham, M., Twitchen, D. J., Childress, L., et al. (2013) · Nature · doi:10.1038/nature12016 · Cited by 1,187
Carolan, J., Harrold, C., Sparrow, C., Martín-López, E., Russell, N. J., Silverstone, J. W., Shadbolt, P. J., Matsuda, N., Oguma, M., Itoh, M., et al. (2015) · Science · doi:10.1126/science.aab3642 · Cited by 1,093
Self-citationScalable Quantum Simulation of Molecular Energies
O’Malley, P. J. J., Babbush, R., Kivlichan, I. D., Romero, J., McClean, J. R., Barends, R., Kelly, J., Roushan, P., Tranter, A., Ding, N., et al. (2016) · Physical Review X · doi:10.1103/physrevx.6.031007 · Cited by 1,059
Towards quantum chemistry on a quantum computer
Lanyon, B. P., Whitfield, J. D., Gillett, G. G., Goggin, M. E., Almeida, M. P., Kassal, I., Biamonte, J. D., Mohseni, M., Powell, B. J., Barbieri, M., et al. (2010) · Nature Chemistry · doi:10.1038/nchem.483 · Cited by 796
Demonstration of a small programmable quantum computer with atomic qubits
Debnath, S., Linke, N. M., Figgatt, C., Landsman, K. A., Wright, K., & Monroe, C. (2016) · Nature · doi:10.1038/nature18648 · Cited by 777
Quantum simulation of frustrated Ising spins with trapped ions
Kim, K., Chang, M.-S., Korenblit, S., Islam, R., Edwards, E. E., Freericks, J. K., Lin, G.-D., Duan, L.-M., & Monroe, C. (2010) · Nature · doi:10.1038/nature09071 · Cited by 750
Testing the limits of quantum mechanical superpositions
Arndt, M., & Hornberger, K. (2014) · Nature Physics · doi:10.1038/nphys2863 · Cited by 432
Site-resolved measurement of the spin-correlation function in the Fermi-Hubbard model
Parsons, M. F., Mazurenko, A., Chiu, C. S., Ji, G., Greif, D., & Greiner, M. (2016) · Science · doi:10.1126/science.aag1430 · Cited by 337
On-chip detection of non-classical light by scalable integration of single-photon detectors
Najafi, F., Mower, J., Harris, N. C., Bellei, F., Dane, A., Lee, C., Hu, X., Kharel, P., Marsili, F., Assefa, S., et al. (2015) · Nature Communications · doi:10.1038/ncomms6873 · Cited by 330
Experimental validation of photonic boson sampling
Spagnolo, N., Vitelli, C., Bentivegna, M., Brod, D. J., Crespi, A., Flamini, F., Giacomini, S., Milani, G., Ramponi, R., Mataloni, P., et al. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.135 · Cited by 312
Adding control to arbitrary unknown quantum operations
Zhou, X.-Q., Ralph, T. C., Kalasuwan, P., Zhang, M., Peruzzo, A., Lanyon, B. P., & O'Brien, J. L. (2011) · Nature Communications · doi:10.1038/ncomms1392 · Cited by 173
Self-citationLearning an unknown transformation via a genetic approach
Spagnolo, N., Maiorino, E., Vitelli, C., Bentivegna, M., Crespi, A., Ramponi, R., Mataloni, P., Osellame, R., & Sciarrino, F. (2017) · Scientific Reports · doi:10.1038/s41598-017-14680-7 · Cited by 40
Cited by
Integrated photonic quantum technologies
Wang, J., Sciarrino, F., Laing, A., & Thompson, M. G. (2020) · Nature Photonics · doi:10.1038/s41566-019-0532-1 · Cited by 1,576
Self-citationMultidimensional quantum entanglement with large-scale integrated optics
Wang, J., Paesani, S., Ding, Y., Santagati, R., Skrzypczyk, P., Salavrakos, A., Tura, J., Augusiak, R., Mančinska, L., Bacco, D., et al. (2018) · Science · doi:10.1126/science.aar7053 · Cited by 816
Self-citationChallenges and opportunities in quantum machine learning
Cerezo, M., Verdon, G., Huang, H.-Y., Cincio, L., & Coles, P. J. (2022) · Nature Computational Science · doi:10.1038/s43588-022-00311-3 · Cited by 689
Photonic quantum information processing: a concise review
Slussarenko, S., & Pryde, G. J. (2019) · Applied Physics Reviews · doi:10.1063/1.5115814 · Cited by 644
The potential and global outlook of integrated photonics for quantum technologies
Pelucchi, E., Fagas, G., Aharonovich, I., Englund, D., Figueroa, E., Gong, Q., Hannes, H., Liu, J., Lu, C.-Y., Matsuda, N., et al. (2021) · Nature Reviews Physics · doi:10.1038/s42254-021-00398-z · Cited by 533
Self-citation
Metadata
- Authors
- Wang, J., Paesani, S., Santagati, R., Knauer, S., Gentile, A. A., Wiebe, N., Petruzzella, M., O’Brien, J. L., Rarity, J. G., Laing, A., & Thompson, M. G.
- Venue
- Nature Physics
- Published
- 2017-03-13
- Volume
- 13
- Issue
- 6
- Pages
- 551-555
- ISSN
- 1745-2473 (ISSN-L)
- 1745-2481
- OpenAlex
- W2597208492
- Cited by
- 247
- References
- 17
- FWCI
- 12.46
- Type
- journal article
- Language
- en
- Open access
- bronze
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