117 citations · 206 across the 10 of their papers we have counts for
10 papers
Adaptive quantum state estimation for two optical point sources
Masataka Kimizu, Fuyuhiko Tanaka, Akio Fujiwara
In classical optics, there is a well-known resolution limit, called Rayleigh's curse, in the separation of two incoherent optical sources in close proximity. Recently, Tsang et al.…
Autoparallelity of Quantum Statistical Manifolds in Light of Quantum Estimation Theory
Hiroshi Nagaoka, Akio Fujiwara
In this paper we study the autoparallelity w.r.t. the e-connection for an information-geometric structure called the SLD structure, which consists of a Riemannian metric and mutual…
Efficiency of estimators for locally asymptotically normal quantum statistical models
Akio Fujiwara, Koichi Yamagata
We herein establish an asymptotic representation theorem for locally asymptotically normal quantum statistical models. This theorem enables us to study the asymptotic efficiency of…
Noise-induced degeneration in online learning
Yuzuru Sato, Daiji Tsutsui, Akio Fujiwara
In order to elucidate the plateau phenomena caused by vanishing gradient, we herein analyse stability of stochastic gradient descent near degenerated subspaces in a multi-layer per…
Noncommutative Lebesgue decomposition and contiguity with applications in quantum statistics
Akio Fujiwara, Koichi Yamagata
We herein develop a theory of contiguity in the quantum domain based upon a novel quantum analogue of the Lebesgue decomposition. The theory thus formulated is pertinent to the wea…
Noncommutative Lebesgue decomposition with application to quantum local asymptotic normality
Akio Fujiwara, Koichi Yamagata
We develop a theory of local asymptotic normality in the quantum domain based on a noncommutative extension of the Lebesgue decomposition. This formulation gives a substantial gene…
Data processing for qubit state tomography: An information geometric approach
Akio Fujiwara, Koichi Yamagata
A statistically feasible data post-processing method for the conventional qubit state tomography is studied from an information geometrical point of view. It is shown that the spac…
Information geometry of sandwiched Rényi -divergence
Kaito Takahashi, Akio Fujiwara
Information geometrical structure induced from the sandwiched Rényi -divergence $D_α(ρ\|σ):=\frac{1}{α(α-1)}\log\,{\rm Tr} \left(σ^…
Experimental Demonstration of Adaptive Quantum State Estimation
Ryo Okamoto, Minako Iefuji, Satoshi Oyama +4
The first experimental demonstration of an adaptive quantum state estimation (AQSE) is reported. The strong consistency and asymptotic efficiency of AQSE have been mathematically p…
Quantum local asymptotic normality based on a new quantum likelihood ratio
Koichi Yamagata, Akio Fujiwara, Richard D. Gill
We develop a theory of local asymptotic normality in the quantum domain based on a novel quantum analogue of the log-likelihood ratio. This formulation is applicable to any quantum…