[21p-S224-1~15] 3.3 Information photonics and image engineering

[21p-S224-15] Theoretical Approach to Single-Photon Decision Maker based on Category Theory

〇Makoto Naruse¹, Horikazu Hori², Masashi Aono^3,4, Serge Huant⁵, Song-Ju Kim⁶ (1.NICT, 2.Univ. Yamanashi, 3.Tokyo Tech, 4.JST PRESTO, 5.Inst. NEEL, CNRS and Univ. Joseph Fourier, 6.NIMS)

Keywords:single photon,decision making

In our former study, we demonstrated that single photons can be used to make decisions in uncertain, dynamically changing environments. The multiarmed bandit problem was successfully solved using the dual probabilistic and particle attributes of single photons. In this work, we present theoretical background for single-photon-based decision making using geometry-based modeling and analysis. We construct an abstracted model of a single-photon decision maker utilizing the concepts of category theory to reveal complex interdependencies of the entities of the subject matter in the most simplified manner. In particular, the octahedral structure in triangulated categories provides a clear understanding of the underlying mechanisms of the single-photon decision maker.