Entanglement in block-scalable and block-scaled states
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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.
KeywordsSpin chain Remote state creation Block-scalable states Block-scaled states Quantum entanglement Perturbation of quantum state MQ-coherence matrices
This work was performed in accordance with the state task, state registration No. 0089-2019-0002, and was partially supported by the program of the Presidium of RAS No. 5 “Photonic technologies in probing inhomogeneous media and biological objects”.
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