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原文連結
論文資訊
- 類型：已發表論文
- 日期：2012
摘要
We treat observable operator models (OOM) and their non-commutative generalisation, which we call NC-OOMs. A natural characteristic of a 隨機 process in the context of classical OOM theory is the process dimension. We investigate its properties within the more general formulation, which allows one to consider process dimension as a measure of complexity of non-commutative processes: We prove lower semi-continuity, and derive an 遍歷 decomposition formula. Further, we obtain results on the close relationship between the canonical OOM and the concept of causal states which underlies the definition of 統計 complexity. In particular, the topological 統計 complexity, i.e. the logarithm of the number of causal states, turns out to be an upper bound to the logarithm of process dimension.
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