Summary
The use of quantum information theory and the understanding of the information it conveys seems to be one of the most challenging and rapidly developing research areas at present. In this article we concentrate on the implications quantum information theory might have on rather classical problems that are rephrased and embedded into a quantum space. Especially, the area of signal and image processing seems to be well suited for this approach. We give an example of mapping colour spaces into the quantum space and show that the resulting quantum systems are highly beneficial when dealing with this kind of data.
Zusammenfassung
Die Quanteninformationstheorie ist ein herausforderndes und sich sehr rasch entwickelndes Forschungsgebiet. In diesem Artikel diskutieren die Autoren einige Implikationen, die die Ergebnisse dieser Forschung auf klassische Problemstellungen haben können, sofern diese in den Quantenraum eingebettet werden. Derartige Einbettungen scheinen insbesondere im Bereich der Signal- und Bildverarbeitung besonders vorteilhaft. Beispielhaft wird dies an der Einbettung von Farbräumen in den Quantenraum gezeigt. Die daraus resultierenden Quantensysteme ermöglichen einen besonders einfachen Umgang mit den gegebenen Farbdaten.
Similar content being viewed by others
References
Comaniciu, D., Ramesh, V., Meer, P. (2003): Kernel based object tracking. IEEE Transactions on Pattern Analysis And Machine Ingtelligence 25(5): 564–575.
Curtis, D., Meyer, D. A. (2004): Towards quantum template matching. Quantum communications and quantum imaging (Ronald E. Meyers, Yanhua Shih, eds.) Proc. of SPIE, vol. 5161, February 2004: 134–141.
Eldar, Y. C., Oppenheim, A. V. (2002): Quantum signal processing. IEEE Signal Processing Magazine.
Hanbury, A. (2003): Advances in imaging and electron physics. Vol. 128, ch. Mathematical morphology applied to circular data. Academic Press: 123–205.
Hwang, T. M., Tseng, C. C. (2003): Quantum digital image processing algorithms. 16th IPPR Conf. on Computer Vision, Graphics and Image Processing (CVGIP 2003).
Meglicki, Z. (2005): Introduction to quantum computing (m743). http://beige.ucs.indiana.edu/M743/, April 2005: 153.
Nielsen, M. A., Chuang, I. L. (2000): Quantum computation and quantum information. Cambridge University Press.
Nölle, M. (2003): Distribution distance measures applied to 3-d object recognition – a case study. Proc. of the 25th Pattern Recognition Symp. of the German Assoc. for Pattern Recognition, Magdeburg, Germany, September 10–12, 2003.
Nölle, M., Ömer, B. (2005): Representation of cyclic colour spaces within quantum space. Proc. the 7th Int. Conf. on Digital Image Computing – Techniques and Applications (DICTA'05), Cairns, Australia: 31.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Nölle, M., Ömer, B. & Suda, M. Quantum information algorithms – new solutions for known problems. Elektrotech. Inftech. 124, 154–157 (2007). https://doi.org/10.1007/s00502-007-0434-7
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s00502-007-0434-7