Quantum mechanics is at the heart of our technology and economy - the laser and the transistor are quantum devices - but its full potential is far from being realized. Recent technological advances in optics, nanoscience and engineering allow experimentalists to create artificial structures or put microscopic and mesoscopic systems under new manipulable conditions in which quantum phenomena play a fundamental role.

Quantum technologies exploit these effects with practical purposes. The objective of Quantum Science is to discover, study, and control quantum efects at a fundamental level. These are two sides of a virtuous circle: new technologies lead to the discovery and study of new phenomena that will lead to new technologies.

Our group's aim is  to control and understand quantum phenomena in a multidisciplinary intersection of  Quantum Information, Quantum optics and cold atoms, Quantum Control, Spintronics, Quantum metrology, Atom interferometry, Superconducting qubits and Circuit QED and Foundations of Quantum Mechanics.



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Claude Kloeckl, University of Vienna (Austria) (Seminar)

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Claude Kloeckl, University of Vienna (Austria)

Thursday, 17th of December, 2015, at 15:00 hours

Location: seminar room of the Department of Theoretical Physics

Title: Alternative generators of the SU(d): Heisenberg-Weyl basis
observables and related applications


The Bloch vector formalism allows for a convenient and geometrical way to consider qubit systems. One big advantage in the qubit case are the convenient properties of Pauli basis, that can be used to represent them. In order to study higher dimensional qudit systems in a similar way, there is no unique analogue of  the Pauli Matrices. The canonical basis choice of higher dimensional systems are the generalized Gell-Mann matrices.

In the talk we present a different basis for qudits, a symmetrized
Hermann-Weyl basis. We go on to argue that this representation can be sensibly applied to problems in entanglement detection, as well as in the infinite-dimensional case.