The DOI matches its Crossref record; 37 of the 37 references it cites were found in a registry or an index.
Cross-Platform Verification of Intermediate Scale Quantum Devices
Open accessAbstract
We describe a protocol for cross-platform verification of quantum simulators and quantum computers. We show how to measure directly the overlap Tr[ρ_{1}ρ_{2}] and the purities Tr[ρ_{1,2}^{2}], and thus a fidelity of two, possibly mixed, quantum states ρ_{1} and ρ_{2} prepared in separate experimental platforms. We require only local measurements in randomized product bases, which are communicated classically. As a proof of principle, we present the measurement of experiment-theory fidelities for entangled 10-qubit quantum states in a trapped ion quantum simulator.
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“Alternatively, one can use randomized measurements to measure the overlap Tr ( ρ 1 ρ 2 ) of two density matrices ρ 1 , ρ 2 (Elben et al. , 2020, 2019; van Enk and Beenakker, 2012).”
From Noisy intermediate-scale quantum algorithms (2022) · cites this paper as Elben et al., 2020
In the citing paper
“Using randomized measurements (Elben et al. , 2020), the kernel can be computed in a time that scales linearly with the dataset size D , which allows for processing large datasets with quantum computers (Haug et al. , 2021c).”
From Noisy intermediate-scale quantum algorithms (2022) · cites this paper as Elben et al. , 2020
Citations
Cites
Quantum Computing in the NISQ era and beyond
Preskill, J. (2018) · Quantum · doi:10.22331/q-2018-08-06-79 · Cited by 8,830
A leisurely look at the bootstrap, the jackknife, and cross-validation
Efron, B., & Gong, G. (1983) · The American Statistician · doi:10.1080/00031305.1983.10483087 · Cited by 3,229
Haake, F. (2010) · Springer series in synergetics · doi:10.1007/978-3-642-05428-0 · Cited by 2,072
Fidelity for Mixed Quantum States
Jozsa, R. (1994) · Journal of Modern Optics · doi:10.1080/09500349414552171 · Cited by 1,911
The Theory of Quantum Information
Watrous, J. (2018) · doi:10.1017/9781316848142 · Cited by 1,325
Scalable multiparticle entanglement of trapped ions
Häffner, H., Hänsel, W., Roos, C. F., Benhelm, J., Chek-al-kar, D., Chwalla, M., Körber, T., Rapol, U. D., Riebe, M., Schmidt, P. O., et al. (2005) · Nature · doi:10.1038/nature04279 · Cited by 1,249
Self-citationMeasuring entanglement entropy in a quantum many-body system
Islam, R., Ma, R., Preiss, P. M., Tai, M. E., Lukin, A., Rispoli, M., & Greiner, M. (2015) · Nature · doi:10.1038/nature15750 · Cited by 1,209
Quantum State Tomography via Compressed Sensing
Gross, D., Liu, Y.-K., Flammia, S. T., Becker, S., & Eisert, J. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.150401 · Cited by 1,133
Randomized benchmarking of quantum gates
Knill, E., Leibfried, D., Reichle, R., Britton, J., Blakestad, R. B., Jost, J. D., Langer, C., Ozeri, R., Seidelin, S., & Wineland, D. J. (2008) · Physical Review A · doi:10.1103/physreva.77.012307 · Cited by 1,019
Neural-network quantum state tomography
Torlai, G., Mazzola, G., Carrasquilla, J., Troyer, M., Melko, R. G., & Carleo, G. (2018) · Nature Physics · doi:10.1038/s41567-018-0048-5 · Cited by 906
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Noisy intermediate-scale quantum algorithms
Bharti, K., Cervera-Lierta, A., Kyaw, T. H., Haug, T., Alperin-Lea, S., Anand, A., Degroote, M., Heimonen, H., Kottmann, J. S., Menke, T., et al. (2022) · Reviews of Modern Physics · doi:10.1103/revmodphys.94.015004 · Cited by 2,231
Practical quantum advantage in quantum simulation
Daley, A. J., Bloch, I., Kokail, C., Flannigan, S., Pearson, N., Troyer, M., & Zoller, P. (2022) · Nature · doi:10.1038/s41586-022-04940-6 · Cited by 783
Self-citationQuantum certification and benchmarking
Eisert, J., Hangleiter, D., Walk, N., Roth, I., Markham, D., Parekh, R., Chabaud, U., & Kashefi, E. (2020) · Nature Reviews Physics · doi:10.1038/s42254-020-0186-4 · Cited by 436
Quantum simulation and computing with Rydberg-interacting qubits
Morgado, M., & Whitlock, S. (2021) · AVS Quantum Science · doi:10.1116/5.0036562 · Cited by 370
The randomized measurement toolbox
Elben, A., Flammia, S. T., Huang, H.-Y., Kueng, R., Preskill, J. P., Vermersch, B., & Zoller, P. (2022) · Nature Reviews Physics · doi:10.1038/s42254-022-00535-2 · Cited by 460
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Metadata
- Authors
- Elben, A., Vermersch, B., van Bijnen, R., Kokail, C., Brydges, T., Maier, C., Joshi, M. K., Blatt, R., Roos, C. F., & Zoller, P.
- Affiliations
- Austrian Academy of Sciences (AT)
- ORCID
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2020-01-06
- Volume
- 124
- Issue
- 1
- Pages
- 010504-010504
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2971898467
- Cited by
- 151
- References
- 37
- Citations by year
- 2026: 11 · 2025: 28 · 2024: 27 · 2023: 21 · 2022: 26 · 2021: 22 · 2020: 16
- FWCI
- 8.35
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University)
- Funders
- H2020 European Research Council
- Horizon 2020 Framework Programme (741541, 817482, 731473)
- Simons Foundation (651440)
- Austrian Science Fund
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- quantum fidelity, quantum state purity, quantum simulators, quantum computing hardware, entangled states, trapped-ion quantum simulator
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