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Gerhard Zauner - Contact

http://www.gerhardzauner.at/cone.html

MUBs and SIC POVMs. Telephone: 43 676 3539444. Subject to change and error. Comments and suggestions are wellcome.

gerhardzauner.at

Gerhard Zauner - Quantum Designs, my old stuff

http://www.gerhardzauner.at/sicfiducials.html

MUBs and SIC POVMs. Below are files containing the fiducial vectors used for the calculations in the paper Galois Automorphisms of a Symmetric Measurement. For the definitions of the parameters a, r. See the tables on pp.33 and 34 of that paper. The fiducials are all unnormalized. Up to a normalization factor and a phase they are exact versions of the numerical fiducials with the same labelling as in the paper by A.J.Scott and M. Grassl arXiv:0910.5784. Dieser Text ist nur auf Englisch verfügbar.

gerhardzauner.at

Gerhard Zauner - Quantum Designs

http://www.gerhardzauner.at/qdstarte.html

MUBs and SIC POVMs. Quantum Theory lives in complex Hilbert Spaces. The closed linear subspaces of seperable Hilbert Spaces form a so called orthocomplemented and quasimodular lattice, featuring - in opposition to classical (boolean) logic - an own " Logic of Quantum Mechanics. GBirkhoff, J.v.Neumann, 1936). These subspaces also replace the sigma-algebra of classical probability theory with probability measures on it fixed via the Born Rule. The algorithms of quantum computing.

gerhardzauner.at

Gerhard Zauner - Links

http://www.gerhardzauner.at/linke.html

MUBs and SIC POVMs. The preprint server arXiv. Of Cornell University is the main source for newest results in Physics and Mathematics. On his homepage Arnold Neumaier. Kindly kept my Ph.D. Thesis available since 1999. At Workshop on quantum physics in higher dimensional Hilbert spaces. A short overview paper about Quantum Designs can be found. Of my nephew Matthias Maier. The homepage of my cousin Vincent J. Cannato.

gerhardzauner.at

Gerhard Zauner - Further Quantum Designs

http://www.gerhardzauner.at/qdfurthe.html

MUBs and SIC POVMs. Beside MUBs (affine quantum designs, independent observables) and SIC POVMs (quantum designs of degree 1. There exist (also in the case r=1) further interesting special cases of quantum designs. Be a quantum design of degree s. We call a pair of projections P. Associated iff tr( P. With this definition e.g. the concept of an association schemes. Classes) can be applied - as in combinatorial design theory (see the introduction to association schemes. By CGodsil (external link) .

gerhardzauner.at

Gerhard Zauner - Miscellaneous

http://www.gerhardzauner.at/vare.html

MUBs and SIC POVMs. Some authors, that I appreciate: Michel de Montaigne, Lawrence Sterne, Georg Christoph Lichtenberg, Christoph Martin Wieland, Heinrich Heine, Honore de Balzac, Fjodor Michailowitsch Dostojewski, Elias Canetti, Hans Blumenberg, Jorge Semprun, Thomas Bernhard, and many more. Two books about the development and status of science, that I like:. Paul J. Nahin: An imaginary tale. The story of. Lee Smolin: The Trouble with Physics. Hiking, Sailing, .

gerhardzauner.at

Gerhard Zauner - Pictures from travelling

http://www.gerhardzauner.at/pictre.html

MUBs and SIC POVMs. France, St. Tropez. Poland, Pomorskie (at Krzysztof). USA, New York. Cyprus, Aphrodites Rock. Croatia, Adriatic Coast. Romania, Danube delta.

gerhardzauner.at

Gerhard Zauner - Homepage

http://www.gerhardzauner.at/index.html

MUBs and SIC POVMs. We live in times of fascinating new insights into the foundations of Physics. For our understanding of Quantum Theory. Among others the theory of Quantum Designs. Can deliver new contributions. Part of my daily job is to follow the fascinating trends and advancements regarding new HW-platforms (e.g. mobile devices and wireless modules for "internet of things") and new tools, frameworks and paradigms in SW-development. More on Google ».

gerhardzauner.at

Gerhard Zauner - Pictures

http://www.gerhardzauner.at/picgze.html

MUBs and SIC POVMs.

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Gerhard Zauner - Quantum Designs Definitions

http://www.gerhardzauner.at/qddefe.html

MUBs and SIC POVMs. Quantum Designs - Definitions. A quantum design is a set D =. Of orthogonal d x d. Is said to be regular. If there exists an. Is given by the cardinality of the set. A subset of D. Is an orthogonal class. If its projections are pairwise orthogonal. If the sum of all its projections adds up to the identity matrix, the orthogonal class is said to be complete. A quantum design is called resolvable. If it can be written as a disjoint union of complete orthogonal classes.