Abstract
We here extend the field of blind (i.e. unsupervised) quantum computation into two directions. On the one hand, we introduce a new class of blind quantum source separation (BQSS) methods, which perform quantum/classical data conversion by means of spin component measurements, followed by classical processing. They differ from our previous class of classical-processing BQSS methods by using extended types of measurements (three directions, possibly different for the considered two spins), which yield a more complete nonlinear mixing model. This allows us (i) to develop a new disentanglement-based separation procedure, which requires a much lower number of source values for adaptation and (ii) to restore a larger set of sources. On the other hand, these extended measurements motivate us to introduce a new research field, namely Blind Quantum Process Tomography, which may be seen both as the blind extension of its existing non-blind version and as the quantum extension of classical blind identification of mixing systems.
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Deville, Y., Deville, A. (2015). From Blind Quantum Source Separation to Blind Quantum Process Tomography. In: Vincent, E., Yeredor, A., Koldovský, Z., Tichavský, P. (eds) Latent Variable Analysis and Signal Separation. LVA/ICA 2015. Lecture Notes in Computer Science(), vol 9237. Springer, Cham. https://doi.org/10.1007/978-3-319-22482-4_21
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DOI: https://doi.org/10.1007/978-3-319-22482-4_21
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