2010/11/30 by Masahito Hayashi, Masahito HAYASHI · 16 citations
Computer Science · Physics and Astronomy · #Constraint (computer-aided design) #Estimation #Estimation theory #Fisher information #Noon #Phase (matter) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #State (computer science) #Upper and lower bounds #quant-ph
paper · pdf · doi:10.2201/niipi.2011.8.9
published in Progress in Informatics (8), 81 · Several typos are fixed. New section "ANALYSIS ON NOON STATE" is added
arxiv created 2011/01/12 · openalex publication_date 2011/03/01 · arxiv updated 2011/06/24 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05
Many researches proposed the use of the noon state as the input state for phase estimation, which is one topic of quantum metrology. This is because the input noon state provides the maximum Fisher information at the specific point. However, the Fisher information does not necessarily give the attainable bound for estimation error. In this paper, we adopt the local asymptotic mini-max criterion as well as the mini-max criterion, and show that the maximum Fisher information does not give the attainable bound for estimation error under these criteria in the phase estimation. We also propose the optimal input state under the constraints for photon number of the input state instead of the noon state.