The Shannon-McMillan Theorem for AF $C^*$ -systems

preprint2013arXivOpen access

We give a new proof of quantum Shannon-McMillan theorem, extending it to AF $C^*$ -systems. Our proof is based on the variational principle, instead of the classical Shannon-McMillan theorem.

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The Shannon-McMillan Theorem for AF $C^*$ -systems

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The Shannon-McMillan Theorem for AF C∗C^*C∗-systems

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The Shannon-McMillan Theorem for AF $C^*$ -systems