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This research investigates how specific preparation phases in four-qubit cluster-state registers can protect recoverable entanglement against collective noise and acceleration-induced decoherence. By deriving exact trace-norm formulas for uniformly accelerated detectors, the study identifies optimal conditions to maintain Bell pairs and teleportation resources within weak-coupling dynamics. These findings advance our understanding of preserving quantum coherence in non-inertial frames, a critical consideration for future quantum communication networks.
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Phase-controlled recoverable entanglement in accelerated detector registers

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arXiv:2610.05079v1 Announce Type: new Abstract: We study recoverable entanglement in a four-qubit cluster-state register whose two detector qubits couple to a scalar field. A local preparation phase leaves the initial reference--register entanglement and detector marginal unchanged, but controls protection under collective noise. At the optimal phase, a fixed decoder recovers a Bell pair after any channel preserving the singlet and triplet sectors. For uniformly accelerated detectors at finite separation, an exact trace-norm formula shows that the same phase is optimal at every time within the secular weak-coupling dynamics. Small separation produces a slow decay, whose rate and phase-dependent amplitude we derive. Matching the local response to an inertial thermal bath gives an analytic optimum time for the entanglement contrast. A detector measurement and conditional phase correction recover a two-qubit teleportation resource. Spatial smearing and an ordered weak-coupling then small-separation limit specify the microscopic scope of the lifetime prediction.

Abstract:We study recoverable entanglement in a four-qubit cluster-state register whose two detector qubits couple to a scalar field. A local preparation phase leaves the initial reference--register entanglement and detector marginal unchanged, but controls protection under collective noise. At the optimal phase, a fixed decoder recovers a Bell pair after any channel preserving the singlet and triplet sectors. For uniformly accelerated detectors at finite separation, an exact trace-norm formula shows that the same phase is optimal at every time within the secular weak-coupling dynamics. Small separation produces a slow decay, whose rate and phase-dependent amplitude we derive. Matching the local response to an inertial thermal bath gives an analytic optimum time for the entanglement contrast. A detector measurement and conditional phase correction recover a two-qubit teleportation resource. Spatial smearing and an ordered weak-coupling then small-separation limit specify the microscopic scope of the lifetime prediction.

arXiv:2610.05079 [quant-ph]

(or arXiv:2610.05079v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2610.05079 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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