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arXiv · 1812.01411

Entanglement in block-scalable and block-scaled states

G. A. Bochkin·S. I. Doronin·A. I. Zenchuk
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Abstract

There is a special class of so-called block-scalable initial states of the sender whose transfer to the receiver through the spin chain results in multiplying {their} MQ-coherence matrices by scalar factors (block-scaled receiver's states). We study the entanglement in block-scalable and block-scaled states and show that, generically, the entanglement in block scaled states is less than the entanglement in the corresponding block-scalable states, although the balance between these entanglements depends on particular values of parameters characterizing these states. Using the perturbations of the sender's block-scalable initial states we show that generically the entanglement in the block-scalable states is bigger, while the entanglement in the block-scaled states is less than the entanglements in the appropriate states from their neighborhoods. A short chain of 6 and a long chain of 42 spin-1/2 particles are considered as examples.}

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G. A. Bochkin, S. I. Doronin, A. I. Zenchuk. 2018-12-04. Entanglement in block-scalable and block-scaled states. https://arxiv.org/abs/1812.01411

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