JACIII Vol.19 No.1 pp. 134-142
doi: 10.20965/jaciii.2015.p0134


Bloch Sphere-Based Representation for Quantum Emotion Space

Fei Yan*1,*2, Abdullah M. Iliyasu*2,*3, Zhen-Tao Liu*4,
Ahmed S. Salama*3, Fangyan Dong*2, and Kaoru Hirota*2

*1School of Computer Science and Technology, Changchun University of Science and Technology, No. 7089, Weixing Road, Changchun 130022, China
*2Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, G3-49, 4259 Nagatsuta, Midori-ku, Yokohama 226-8502, Japan
*3College of Engineering, Salman Bin Abdulaziz University, Al-Kharj 11942, Kingdom of Saudi Arabia
*4School of Automation, China University of Geosciences, Wuhan 430074, China

March 8, 2014
November 13, 2014
Online released:
January 20, 2015
January 20, 2015
quantum computation, emotion space, Bloch sphere, quantum emotion, visualization

A Bloch Sphere-based Emotion Space (BSES), where two angles φ and θ in the Bloch sphere represent the emotion (such as happiness, surprise, anger, sadness, expectation, or relaxation in [0, 2π)) and its intensity (from neutral to maximum in [0, π]), respectively, is proposed. It exploits the psychological interpretation of color to assign a basic color to each emotion subspace such that the BSES can be visualized, and by using quantum gates, changes in emotions can be tracked and recovered. In an experimental validation, two typical human emotions, happiness and sadness, are analyzed and visualized using the BSES according to a preset emotional transmission model. A transition matrix that tracks emotional change can be used to control robots allowing them to adapt and respond to human emotions.

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