The DOI matches its Crossref record; 37 of the 37 references it cites were found in a registry or an index.
Efficient quantum state tomography
Open accessAbstract
Quantum state tomography--deducing quantum states from measured data--is the gold standard for verification and benchmarking of quantum devices. It has been realized in systems with few components, but for larger systems it becomes unfeasible because the number of measurements and the amount of computation required to process them grows exponentially in the system size. Here, we present two tomography schemes that scale much more favourably than direct tomography with system size. One of them requires unitary operations on a constant number of subsystems, whereas the other requires only local measurements together with more elaborate post-processing. Both rely only on a linear number of experimental operations and post-processing that is polynomial in the system size. These schemes can be applied to a wide range of quantum states, in particular those that are well approximated by matrix product states. The accuracy of the reconstructed states can be rigorously certified without any a priori assumptions.
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Cites
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Cited by
Predicting many properties of a quantum system from very few measurements
Huang, H.-Y., Kueng, R., & Preskill, J. (2020) · Nature Physics · doi:10.1038/s41567-020-0932-7 · Cited by 1,240
The Variational Quantum Eigensolver: A review of methods and best practices
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Chen, M., Menicucci, N. C., & Pfister, O. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.120505 · Cited by 468
Direct Fidelity Estimation from Few Pauli Measurements
Flammia, S. T., & Liu, Y.-K. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.230501 · Cited by 449
Self-citationQuantum simulation and computing with Rydberg-interacting qubits
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Metadata
- Authors
- Cramer, M., Plenio, M. B., Flammia, S. T., Somma, R., Gross, D., Bartlett, S. D., Landon-Cardinal, O., Poulin, D., & Liu, Y.-K.
- Venue
- Nature Communications
- Published
- 2010-12-21
- Volume
- 1
- Issue
- 1
- Pages
- 149-149
- ISSN
- 2041-1723 (ISSN-L)
- OpenAlex
- W1971384536
- Cited by
- 666
- References
- 37
- FWCI
- 16.66
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Cramer, M., Plenio, M. B., Flammia, S. T., Somma, R., Gross, D., Bartlett, S. D., Landon-Cardinal, O., Poulin, D., & Liu, Y.-K. (2010). Efficient quantum state tomography. Nature Communications. https://doi.org/10.1038/ncomms1147
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