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arXiv · 1310.1886

Translation invariant pure state on $\clb=\otimes_{\IZ}M_d(\IC)$ and its split property

Anilesh Mohari
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Abstract

We prove that a real lattice symmetric reflection positive translation invariant pure state of $\clb=\otimes_{\IZ}M_d(\IC)$ is a split state if its two points spatial correlations functions decay exponentially.

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Anilesh Mohari. 2013-10-07. Translation invariant pure state on $\clb=\otimes_{\IZ}M_d(\IC)$ and its split property. https://arxiv.org/abs/1310.1886

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