Quantum-capacity bounds in spin-network communication channels
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quant-ph
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capacitiescommunicationspin-networkadoptsarbitraryassumptionsattainbound
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Using the Lieb-Robinson inequality and the continuity property of the quantum capacities in terms of the diamond norm, we derive an upper bound on the values that these capacities can attain in spin-network communication i.i.d. models of arbitrary topology. Differently from previous results we make no assumptions on the encoding mechanisms that the sender of the messages adopts in loading information on the network.
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