Elements of information theory
Elements of information theory
Independent component analysis, a new concept?
Signal Processing - Special issue on higher order statistics
Quantum computation and quantum information
Quantum computation and quantum information
ICA'07 Proceedings of the 7th international conference on Independent component analysis and signal separation
Handbook of Blind Source Separation: Independent Component Analysis and Applications
Handbook of Blind Source Separation: Independent Component Analysis and Applications
LVA/ICA'10 Proceedings of the 9th international conference on Latent variable analysis and signal separation
Classical-processing and quantum-processing signal separation methods for qubit uncoupling
Quantum Information Processing
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As a tool for solving the Blind Quantum Source Separation problem introduced in our previous papers, we here propose the concept of Quantum Independent Component Analysis (QICA). Starting from quantum bits (qubits) with cylindrical-symmetry Heisenberg coupling, quantum-to-classical conversion yields an original nonlinear mixing model, which leads us to develop QICA methods dedicated to this model. Our first method consists in minimizing the mutual information of the outputs of our nonlinear separating system. It is attractive because it yields an exact solution, without any spurious points thanks to the (Q)ICA separability of the considered model. The second proposed method is a simpler approximation of the first one. It is based on a truncated expansion of differential entropy (or negentropy), derived from the Edgeworth expansion of probability density functions.