Comparison of confidence regions for quantum state tomography
- URL: http://arxiv.org/abs/2303.07136v2
- Date: Tue, 14 Nov 2023 17:21:48 GMT
- Title: Comparison of confidence regions for quantum state tomography
- Authors: Jessica O. de Almeida, Matthias Kleinmann and Gael Sent\'is
- Abstract summary: The quantum state associated to an unknown experimental preparation procedure can be determined by performing quantum state tomography.
A rigorous way to accomplish this is via statistical confidence regions in state space.
We compare recent methods for constructing confidence regions as well as a reference method based on a Gaussian approximation.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The quantum state associated to an unknown experimental preparation procedure
can be determined by performing quantum state tomography. If the statistical
uncertainty in the data dominates over other experimental errors, then a
tomographic reconstruction procedure must express this uncertainty. A rigorous
way to accomplish this is via statistical confidence regions in state space.
Naturally, the size of this region decreases when increasing the number of
samples, but it also depends critically on the construction method of the
region. We compare recent methods for constructing confidence regions as well
as a reference method based on a Gaussian approximation. For the comparison, we
propose an operational measure with the finding, that there is a significant
difference between methods, but which method is preferable can depend on the
details of the state preparation scenario.
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