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A Fixed Point Result for Environment-Induced Semigroups | | A. M. Lisewski
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11 Nov 2002 | | Subject: | quant-ph | | Abstract: | Based on the environment induced semigroup approach to the quantum measurement process, we show that a certain class of these semigroups, referred to as contractive uniformly $k$-Lipschitzian semigroups, exhibit a fixed point property. With regard to the quantum measurement problem, semigroups of this kind ensure decoherence and the selection of a single state from the familiy of pointer states. In fact, the common fixed point is the selected state. | | Source: | arXiv, quant-ph/0211054 | | Services: | Forum | Review | PDF | Favorites | |
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