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Dehomogenization for Completely Positive Tensors
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Dehomogenization for Completely Positive Tensors
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A real symmetric tensor is completely positive (CP) if it is a sum of symmetric tensor powers of nonnegative vectors. We propose a dehomogenization approach for studying CP tensors. This gives new Moment-SOS relaxations for CP tensors. Detection for CP tensors and the linear conic optimization with CP tensor cones can be solved more efficiently by the dehomogenization approach.
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Cited by 1 Pith paper
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Entanglement in the Dicke subspace
Mixtures of Dicke states are separable exactly when their parametrizing tensor is completely positive; this yields PPT-entangled examples for all n≥3, d≥3 and SDP relaxations for separability.
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