Using three-partite GHZ states for partial quantum error detection in entanglement-based protocols

Moreno, M. G. M.; Fonseca, Alejandro; Cunha, Márcio M.

doi:10.1007/s11128-018-1960-4

Cited by 10 publications

(13 citation statements)

References 27 publications

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“…Should this not be the case, a bit-flip has occurred on one of those qubits, meaning that the teleported state can be rejected. This means that partial bit-flip errors can be detected in the teleportation protocol, [52] resulting in an improved overall fidelity [23], which is fundamental for teleportation protocols in ascertaining that the transmitted information is correct. Finally, Bob can retrieve the state in Eq.…”

Section: Ghz Channel and Measurement Teleportation Protocolmentioning

confidence: 99%

“…Note that the last measurement also serves to ascertain that both of the measurements on Alice's tripartite state qubits give the same measurement value, that is both ones or zeros. If they differ, then one can be certain that a bit-flip error has occurred in one of the qubits [23], allowing for the post-selection of noisy measurements, which cannot be carried out by using a Bell channel. This partial error detection leads to a better overall fidelity of teleportation.…”

Section: Localizable Concurrencementioning

confidence: 99%

“…One known benefit of using 𝑛-qubit GHZ states over a Bell state, to teleport qubits, is that they can be used for partial error-detection. Implementing the post-selection after detection of a bit-flip (or phase-flip) error leads to an overall improved fidelity over the standard teleportation scheme involving a Bell channel [23].…”

Section: Introductionmentioning

confidence: 99%

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The Role of Localizable Concurrence in Quantum Teleportation Protocols

Consiglio,

Mangion,

Apollaro

2021

Preprint

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Teleporting an unknown qubit state is a paradigmatic quantum information processing task revealing the advantage of quantum communication protocols over their classical counterpart. For a teleportation protocol using a Bell state as quantum channel, the resource has been identified to be the concurrence. However, for mixed multi-partite states the lack of computable entanglement measures has made the identification of the quantum resource responsible for this advantage more challenging. Here, by building on previous results showing that localizable concurrence is the necessary resource for controlled quantum teleportation, we show that any teleportation protocol using an arbitrary multi-partite state, that includes a Bell measurement, requires a non-vanishing localizable concurrence between two of its parties in order to perform better than the classical protocol. By first analyzing the GHZ channel and GHZ measurement teleportation protocol, in the presence of GHZ-symmetric-preserving noise, we compare different multi-partite entanglement measures with the fidelity of teleportation, and we find that the protocol performs better than the classical protocol when all multi-partite entanglement measures vanish, except for the localizable concurrence. Finally, we extend our proof to an arbitrary teleportation protocol with an arbitrary multi-partite entangled channel.

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Section: Ghz Channel and Measurement Teleportation Protocolmentioning

confidence: 99%

Section: Localizable Concurrencementioning

confidence: 99%

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The Role of Localizable Concurrence in Quantum Teleportation Protocols

Consiglio,

Mangion,

Apollaro

2021

Preprint

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“…To diversify the mathematical approach used here, let us now write the states by using the formalism of the density matrix. This problem has been discussed in [66], where was considered a maximally entangled state as the channel as well in the measurement. It was showed that this procedure can help to improve the quality of the protocol on the occurrence of bit-flip error.…”

Section: B Teleportation Of a Single Qubit State: Ghz Channel And Mementioning

confidence: 99%

Tripartite Entanglement: Foundations and Applications

2019

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We review some current ideas about tripartite entanglement, the case representing the next level of complexity beyond the simplest one (though far from trivial), namely the bipartite. This kind of entanglement has an essential role in the understanding of foundations of quantum mechanics. Also, it allows several applications in the fields of quantum information processing and quantum computing. In this paper, we make a revision about the main foundational aspects of tripartite entanglement and we discuss the possibility of using it as a resource to execute quantum protocols. We present some examples of quantum protocols in detail.

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“…By using the same approach, the authors of [7] contrast theoretical predictions with experimental results. In addition, there are even some approaches to the problem of multipartite noisy teleportation [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

High-dimensional quantum teleportation under noisy environments

Fonseca

2019

Phys. Rev. A

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We study the protocol of qudit teleportation using quantum systems subjected to several kinds of noise for arbitrary dimensionality d. We consider four classes of noise: dit-flip, d-phase-flip, ditphase-flip and depolarizing, each of them corresponding to a family of Weyl operators, introduced via Kraus formalism. We derive a general expression for the average fidelity of teleportation in arbitrary dimension d for any combination of noise on the involved qudits. Under a different approach we derive the average fidelity of teleportation for a more general scenario involving the d-dimensional generalization of amplitude damping noise as well. We show that all possible scenarios may be classified in four different behaviours and discuss the cases in which it is possible to improve the fidelity by increasing the associated noise fractions. All our results are in agreement with previous analysis by Fortes and Rigolin for the case of qubits (Phys. Rev. A, 92 012338, 2015).

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Using three-partite GHZ states for partial quantum error detection in entanglement-based protocols

Cited by 10 publications

References 27 publications

The Role of Localizable Concurrence in Quantum Teleportation Protocols

The Role of Localizable Concurrence in Quantum Teleportation Protocols

Tripartite Entanglement: Foundations and Applications

High-dimensional quantum teleportation under noisy environments

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