Translation invariant pure state on clb=otimes_(IZ)M_d(IC) and its split property
classification
🧮 math.OA
math-phmath.MP
keywords
stateinvariantotimespuresplittranslationcorrelationsdecay
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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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