Robust Phase Estimation of Gaussian States in the Presence of Outlier Quantum States
Source abstract
Abstract
In this paper, we investigate the problem of estimating the phase of a coherent state in the presence of unavoidable noisy quantum states. These unwarranted quantum states are represented by outlier quantum states in this study. We first present a statistical framework of robust statistics in a quantum system to handle outlier quantum states. We then apply the method of M-estimators to suppress untrusted measurement outcomes due to outlier quantum states. Our proposal has the advantage over the classical methods in being systematic, easy to implement, and robust against occurrence of noisy states.
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Research context
OpenAlex topics: Quantum Information and Cryptography · Advanced Statistical Methods and Models · Scientific Measurement and Uncertainty Evaluation
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Affiliations
Graduate School of Informatics and Engineering, The University of Electro-Communications, 1-5-1 Chofugaoka, Chofu-shi, Tokyo 182-8585, Japan
Funding
Japan Society for the Promotion of Science
References (37)
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