Overview

Topic status: We're looking for students to study this topic.

Quantum state tomography is a means of reconstructing the source of quantum systems by measurements of quantum systems coming from the source. The reconstruction results in a density matrix. Derka et al (1997) put forward an algorithm which looks very much like a density matrix can be reconstructed from conditional probabilities. Hypothesis/Aims: The emerging field of quantum cognition assumes the human mental lexicon can be modelled in a quantum-like way. The human word association date collected in the University of South Florida database represent conditional probabilities P(u|v) where word v is a cue and the word u is a word produced by a subject in a human memory experiment. This project will investigate apply Derka et al's algorithm to the USF data to produce a density matrix corresponding to an inter-subjective human mental lexicon. The density matrix will then be used to compute probabilities of recall of words. Suits: Student with a strong background in mathematics or physics.

Approaches:

  • Design of a modular concept combination system
  • Computational implementation of Derka et al's algorithm

References

  1. Derka, R., Buzek, B., Adam, G., Knight, P.L (1997) From quantum Bayesian inference to quantum tomography, arxiv:quanth-ph/9701029v1
Study level
Honours
Supervisors
QUT
Organisational unit

Science and Engineering Faculty

Research area

Information Systems

Contact

Please contact the supervisor.