The DOI matches its Crossref record; 58 of the 58 references it cites were found in a registry or an index.
Soundness and completeness of quantum root-mean-square errors
Open accessAbstract
Defining and measuring the error of a measurement is one of the most fundamental activities in experimental science. However, quantum theory shows a peculiar difficulty in extending the classical notion of root-mean-square (rms) error to quantum measurements. A straightforward generalization based on the noise-operator was used to reformulate Heisenberg’s uncertainty relation on the accuracy of simultaneous measurements to be universally valid and made the conventional formulation testable to observe its violation. Recently, its reliability was examined based on an anomaly that the error vanishes for some inaccurate measurements, in which the meter does not commute with the measured observable. Here, we propose an improved definition for a quantum generalization of the classical rms error, which is state-dependent, operationally definable, and perfectly characterizes accurate measurements. Moreover, it is shown that the new notion maintains the previously obtained universally valid uncertainty relations and their experimental confirmations without changing their forms and interpretations, in contrast to a prevailing view that a state-dependent formulation for measurement uncertainty relation is not tenable.
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Cites
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Cited by
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
The power of quantum neural networks
Abbas, A., Sutter, D., Zoufal, C., Lucchi, A., Figalli, A., & Woerner, S. (2021) · Nature Computational Science · doi:10.1038/s43588-021-00084-1 · Cited by 1,082
Computational advantage of quantum random sampling
Hangleiter, D., & Eisert, J. (2023) · Reviews of Modern Physics · doi:10.1103/revmodphys.95.035001 · Cited by 145
Cai, Z. (2021) · npj Quantum Information · doi:10.1038/s41534-021-00404-3 · Cited by 76
Variational Circuit Compiler for Quantum Error Correction
Xu, X., Benjamin, S. C., & Yuan, X. (2021) · Physical Review Applied · doi:10.1103/physrevapplied.15.034068 · Cited by 36
Metadata
- Authors
- Ozawa, M.
- Venue
- npj Quantum Information
- Published
- 2019-01-15
- Volume
- 5
- Issue
- 1
- ISSN
- 2056-6387 (ISSN-L)
- OpenAlex
- W2805713135
- Cited by
- 265
- References
- 58
- FWCI
- 14.84
- Type
- journal article
- Language
- en
- Open access
- gold
- Licence
- creativecommons.org/licenses/by/4.0 (tdm)
- creativecommons.org/licenses/by/4.0 (vor)
- Funders
- Japan Society for the Promotion of Science (17K19970, 26247016)
- IRI-NU collaboration, funding based on a research collaboration contract between the Internet Research Institute, Inc. and Nagoya University.
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