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Open Quantum Systems Decoherence

Quantum-state estimation problem via optimal design of experiments

arXiv

Authors: Jun Suzuki

Year

2020

Paper ID

18194

Status

Preprint

Abstract Read

~2 min

Abstract Words

113

Citations

N/A

Abstract

In this paper, we study the quantum-state estimation problem in the framework of optimal design of experiments. We first find the optimal designs about arbitrary qubit models for popular optimality criteria such as A-, D-, and E-optimal designs. We also give the one-parameter family of optimality criteria which includes these criteria. We then extend a classical result in the design problem, the Kiefer-Wolfowitz theorem, to a qubit system showing the D-optimal design is equivalent to a certain type of the A-optimal design. We next compare and analyze several optimal designs based on the efficiency. We explicitly demonstrate that an optimal design for a certain criterion can be highly inefficient for other optimality criteria.

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This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
It adds a 2020 reference point for readers tracking recent quantum research.
In this paper, we study the quantum-state estimation problem in the framework of optimal design of experiments.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2012.11949 [2] arXiv https://arxiv.org/abs/2012.11949 [3] Publisher https://arxiv.org/abs/2012.11949

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