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Cramer, Marcus; Plenio, Martin B.; Flammia, Steven T.; Somma, Rolando; Gross, David et al.: Efficient quantum state tomography. In: Nature Communications 1 (2010), 149. DOI: https://doi.org/10.1038/ncomms1147

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To cite the version in the repository, please use this identifier: https://doi.org/10.15488/1616

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Sum total of downloads: 60




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Abstract: 
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.
License of this version: CC BY 4.0 Unported
Document Type: article
Publishing status: publishedVersion
Issue Date: 2010
Appears in Collections:Fakultät für Mathematik und Physik

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pos. country downloads
total perc.
1 image of flag of Germany Germany 50 83.33%
2 image of flag of China China 3 5.00%
3 image of flag of Taiwan Taiwan 2 3.33%
4 image of flag of United States United States 1 1.67%
5 image of flag of United Kingdom United Kingdom 1 1.67%
6 image of flag of Czech Republic Czech Republic 1 1.67%
7 image of flag of Chile Chile 1 1.67%
8 image of flag of Switzerland Switzerland 1 1.67%

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