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Q: Quantenoptik
Q 9: Poster: Quantum Information
Q 9.10: Poster
Tuesday, April 3, 2001, 12:30–15:00, AT2
Decomposition of Mixed Quantum States — •Alexander Otte and Günter Mahler — Universität Stuttgart, Institut für Theoretische Physik I, Pfaffenwaldring 57/IV, 70550 Stuttgart
The decomposition of non-pure quantum states into a mixture of product states has for long been a problem in quantum mechanics and is of special importance in the context of quantum information theory.
We propose a simple constructive method to decompose a separable mixed density matrix into pure product states. It is an iterative method with an intuitive geometrical interpretation. The result can be transformed to give a decomposition into no more than n2 pure product states, if n is the dimension of the overall Hilbert-space. We further want to discuss the interesting point of generality for our proposed method as a separability criterion.