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Quantum-capacity bounds in spin-network communication channels

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arxiv 1905.11920 v2 pith:HDIW4PL2 submitted 2019-05-28 quant-ph

Quantum-capacity bounds in spin-network communication channels

classification quant-ph
keywords capacitiescommunicationspin-networkadoptsarbitraryassumptionsattainbound
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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