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Enhancing teleportation via noisy channels: effects of the induced multipartite entanglement

Published 14 Apr 2024 in quant-ph | (2404.09133v1)

Abstract: Quantum teleportation in the presence of noisy channels acting on a bipartite resource state is considered. We consider a family of generalized noisy channels that continuously connect the amplitude damping and the dephasing channels, encompassing a wide family of in-between scenarios, to delve into the relation between the teleportation success and the amount of 3- and 4-partite entanglement (distributed among the qubits of the resource state and those representing local environments) generated during the evolution. Our analysis reveals that for a fixed entanglement of the resource state, the channels that better protect the teleportation fidelity against the detrimental effects of noise are those that generate higher amounts of (GHZ-type) multipartite entanglement. This suggests that the dynamically induced multipartite correlations may serve as an additional resource for teleportation, and throws light into the characterization of processes, and of the type of induced entanglement, according to their capability of assisting the protocol.

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References (2)
  1. Some authors refer also to the resource state as quantum channel. Here we will keep the term ‘quantum channel’ to denote a completely positive trace-preserving map, that in the present context gives the reduced dynamics of an open system.
  2. In Ref. [38] the maximal singlet fraction is defined considering the maximum over all the maximally entangled states. Here we maximize only over those states that can be obtained from Bell states by means of unitary transformations of the form 𝖨2⊗σ(i)tensor-productsubscript𝖨2superscript𝜎𝑖\mathsf{I}_{2}\otimes\sigma^{(i)}sansserif_I start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT ⊗ italic_σ start_POSTSUPERSCRIPT ( italic_i ) end_POSTSUPERSCRIPT. With this restriction we adhere to the standard teleportation protocol (in which Bob’s operations are implemented via Pauli operators).

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