Masataka Kimizu, Fuyuhiko Tanaka, and Akio Fujiwara, ``Adaptive quantum state estimation for two optical point sources,'' Phys. Rev. A, vol. 109, 032434 (2024).
Akio Fujiwara and Koichi Yamagata, ``Efficiency of estimators for locally asymptotically normal quantum statistical models,'' Ann. Statist., vol. 51, 1159--1182 (2023) ; This paper continues to ``Supplementary material.''
Akio Fujiwara, ``Hommage to Chentsov's theorem,'' Info. Geo. (2022). https://doi.org/10.1007/s41884-022-00077-7.
Yuzuru Sato, Daiji Tsutsui, and Akio Fujiwara, ``Noise-induced degeneration in online learning,'' Physica D, vol. 430, 133095 (2022).
Akio Fujiwara, ``Dually flat structures induced from monotone metrics on a two-level quantum state space,'' Eur. Phys. J. Plus, vol. 135, 860 (2020).
Saki Nohara, Ryo Okamoto, Akio Fujiwara, and Shigeki Takeuchi, ``Adaptive quantum state estimation for dynamic quantum states,'' Phys. Rev. A, vol. 102, 030401(R) (2020).
Akio Fujiwara and Koichi Yamagata, ``Noncommutative Lebesgue decomposition and contiguity with applications in quantum statistics,'' Bernoulli, vol. 26, 2105-2142 (2020) ; This paper continues to ``Supplementary material.''
Akio Fujiwara, ``Complementing Chentsov's characterization,'' in Information Geometry and Its Applications, Springer Proceedings in Mathematics & Statistics 252, edited by N. Ay et al. (Springer, 2018), pp. 335-347.
Akio Fujiwara and Koichi Yamagata, ``Information geometry of randomized quantum state tomography,'' Entropy, vol. 20, 609 (2018).
Ryo Okamoto, Satoshi Oyama, Koichi Yamagata, Akio Fujiwara, and Shigeki Takeuchi, ``Experimental demonstration of adaptive quantum state estimation for single photonic qubits,'' Phys. Rev. A, vol. 96, 022124 (2017).
Kaito Takahashi and Akio Fujiwara, ``Information geometry of sandwiched Rényi α-divergence,'' J. Phys. A: Math. Theor., vol. 50, 165301 (2017).
Koichi Yamagata, Akio Fujiwara, and Richard D. Gill, ``Quantum local asymptotic normality based on a new quantum likelihood ratio,'' Annals of Statistics, vol. 41, 2197-2217 (2013) ; This paper continues to ``Supplementary material.''
Ryo Okamoto, Minako Iefuji, Satoshi Oyama, Koichi Yamagata, Hiroshi Imai, Akio Fujiwara, and Shigeki Takeuchi, ``Experimental demonstration of adaptive quantum state estimation,'' Phys. Rev. Lett., vol. 109, 130404 (2012).
Akio Fujiwara and Shigeru Shuto, ``Hereditary structure in Hamiltonians: Information geometry of Ising spin chains,'' Phys. Lett. A, vol. 374, 911-914 (2010).
Akio Fujiwara and Hiroshi Imai, ``A fibre bundle over manifolds of quantum channels and its application to quantum statistics,'' J. Phys. A: Math. Theor., vol. 41, 255304 (2008).
Akio Fujiwara, ``Randomness criteria in terms of α-divergences,'' IEEE Trans. Inform. Theory, vol. 54, pp. 1252-1261 (2008).
Hiroshi Imai and Akio Fujiwara, ``Geometry of optimal estimation scheme for SU(D) channels,'' J. Phys. A: Math. Theor., vol. 40, pp. 4391-4400 (2007).
Akio Fujiwara, ``Strong consistency and asymptotic efficiency for adaptive quantum estimation problems,'' J. Phys. A: Math. Gen., vol. 39, pp. 12489-12504 (2006); Akio Fujiwara, ``Corrigendum,'' J. Phys. A: Math. Theor., vol. 44, 079501 (2011).
Akio Fujiwara, ``Estimation of a generalized amplitude-damping channel,'' Phys. Rev. A, vol. 70, 012317 (2004).
Akio Fujiwara and Hiroshi Imai, ``Quantum parameter estimation of a generalized Pauli channel,'' J. Phys. A: Math. Gen., vol. 36, pp. 8093-8103 (2003).
Akio Fujiwara and Takashi Hashizume, ``Additivity of the capacity of depolarizing channels,'' Phys. Lett. A, vol. 299, pp. 469-475 (2002).
Akio Fujiwara, ``Estimation of SU(2) operation and dense coding: An information geometric approach,'' Phys. Rev. A, vol. 65, 012316 (2002).
Akio Fujiwara, ``Quantum birthday problems: Geometrical aspects of quantum random coding,'' IEEE Trans. Inform. Theory, vol. 47, pp. 2644-2649 (2001).
Akio Fujiwara, ``Quantum channel identification problem,'' Phys. Rev. A, vol. 63, 042304 (2001).
Akio Fujiwara and Hiroshi Nagaoka, ``An estimation theoretical characterization of coherent states,'' J. Math. Phys., vol. 40, pp. 4227-4239 (1999).
Akio Fujiwara and Paul Algoet, ``One-to-one parametrization of quantum channels,'' Phys. Rev. A, vol. 59, pp. 3290-3294 (1999).
Akio Fujiwara, ``Geometry of Quantum Information Systems,'' in Geometry in Present Day Science, edited by O.E. Barndorff-Nielsen and E.B.V. Jensen (World Scientific, Singapore, 1999), pp. 35-48.
Akio Fujiwara and Hiroshi Nagaoka, ``Operational capacity and pseudoclassicality of a quantum channel,'' IEEE Trans. Inform. Theory, vol. 44, pp. 1071-1086 (1998).
Akio Fujiwara and Shun-ichi Amari, ``Gradient systems in view of information geometry,'' Physica D, vol. 80, pp. 317-327 (1995).
Akio Fujiwara and Hiroshi Nagaoka, ``Quantum Fisher metric and estimation for pure state models,'' Phys. Lett. A, vol. 201, pp. 119-124 (1995).
Last update : 5 April 2024