conference
21.01.06
10:00 - 10:45 |
Armin Uhlmann (Universität Leipzig)
On convex (concave) roofs
Given a function g on the exrtremal points of a convex compact set K, one may ask for the largest convex extension
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10:45 - 11:30 |
Shao-Ming Fei (MPI MiS)
Theory of Quantum Entanglement: Measure and Local Equivalence
We introduce some recent results on quantum entanglement (which plays key roles in quantum information processing): in particular, the derivation of the measure of entanglement: Entanglement of Formation and Concurrence for mixed bipartite quantum states; the classification of quantum states under local unitary transformations: nonlocal properties and local invariants, geometry and dimensions of the orbits.
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11:30 - 11:45 | |
11:45 - 12:30 |
Sabine Jansen (Technische Universität Berlin)
The adiabatic theorem and quantum adiabatic computing
The quantum adiabatic approximation has a long history. Recently, the realization that the adiabatic approximation could be used as the basis for a method of quantum computing has generated a resurgence of interest in this topic. We present a simple proof of the theorem with explicit error bounds and sketch the application of the bounds to Grovers algorithm.
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12:30 - 14:30 | |
14:30 - 15:30 |
Markus Müller (Technische Universität Berlin)
Stationary algorithmic probability
The randomness of finite words can be measured in terms of Kolmogorov complexity and algorithmic probability. Nevertheless, both notions depend on the arbitrary choice of an underlying universal computer U. We propose a machine-independent approach to algorithmic probability, resulting from a Markov process that describes computers that randomly simulate each other.
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15:30 - 16:00 |
Stephan Weis (Universität Erlangen)
Curvature of exponential families and ruled surfaces
The state space of two bits contains the exponential family of product states. This family forms a surface of second order and is also a ruled surface. For the latter, there exists a geometrically motivated parametrization that implies an easy curvature formula. Which of these structures may be extended to exponential families of a more general type?
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16:00 - 16:15 | |
16:15 - 17:00 |
Nihat Ay (MPI MiS)
On the affine structure of exponential families
A natural geometric approach to dual structures will be presented. In particular exponential families will be discussed within the context of Stephan Weis' talk.
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17:30 - 18:30 |