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. Different from previous results we make no assumptions about the encoding mechanisms that the sender of the messages adopts in loading information on the network.

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. Different from previous results we make no assumptions about the encoding mechanisms that the sender of the messages adopts in loading information on the network.

Quantum-capacity bounds in spin-network communication channels

Chessa S.;Fanizza M.;Giovannetti V.
2019

Abstract

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. Different from previous results we make no assumptions about the encoding mechanisms that the sender of the messages adopts in loading information on the network.
2019
Settore FIS/03 - Fisica della Materia
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/101095
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