Exploring the relationship between the faithfulness and entanglement of two qubits

Riccardi, Gabriele; Jones, D. E.; Yu, Xiao-Dong; Gühne, Otfried; Kirby, Brian T.

doi:10.1103/physreva.103.042417

Cited by 8 publications

(4 citation statements)

References 27 publications

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“…Recently, faithfulness of entanglement was studied by experiments [7,20]. The authors demonstrated a situation in which an unfaithful state is brought to a faithful one in the amplitude damping channel [7]. In this paper, we want to further investigate the effect of qubit channels on the faithfulness of two-qubit states.…”

Section: Introductionmentioning

confidence: 99%

“…The smallest value of α can be reached when |ψ⟩ is a maximally entangled state. However, there are still some entangled states cannot be detected by any construction of a fidelity witness [4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

“…As the faithful sates are equivalent to the states with f > 1/d, faithfulness of entanglement can be enhanced by this class of channel. Recently, faithfulness of entanglement was studied by experiments [7,20]. The authors demonstrated a situation in which an unfaithful state is brought to a faithful one in the amplitude damping channel [7].…”

Section: Introductionmentioning

confidence: 99%

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Non-unital channel can sometimes enhance faithfulness of two-qubit entanglement

Liu,

2024

Preprint

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States whose entanglement can be detected by a fidelity-based entanglement witness are faithful. In this paper, we introduce a new necessary and sufficient condition for identifying faithful states. This condition is based on trace norm. With the help of this condition, we investigate the effect of local channels on faithfulness of two-qubit entangled states. The result shows that all the unital channels cannot enhance the faithfulness of entangled states. Some non-unital channels can improve the faithfulness of a restricted set of entangled states, and even can change an unfaithful entangled state to a faithful one. However, the faithfulness of all the states with maximally mixed marginals only can decrease when they are subjected to local channels.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Non-unital channel can sometimes enhance faithfulness of two-qubit entanglement

Liu,

2024

Preprint

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show abstract

“…There are many other theoretically attractive entanglement criteria and concepts based on EWs. Examples like the positive map criteria [13] and faithful entanglement [30][31][32] are equivalent to infinitely many EWs. As a result, Eq.…”

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confidence: 99%