en.Wedoany.com Reported - Researchers at the Duke Quantum Center and IonQ have demonstrated the distributed generation of Greenberger-Horne-Zeilinger (GHZ) states using individual trapped ions on a three-node quantum network. The experimental setup comprises three spatially separated hardware modules, each approximately 2 meters apart, connected via 3-meter single-mode optical fibers to a centralized free-space GHZ state generator. This network achieves remote three-party entanglement without requiring local two-qubit gates or post-selection protocols, establishing atomic state fidelities ranging from 0.841(17) to 0.881(17) at an entanglement generation rate of 0.095(5) s−1.

Each hardware node isolates a single 138Ba+ (barium) ion qubit confined in a four-rod Paul trap. A static magnetic field of 4.2446(2) G lifts the ground-state degeneracy, defining Zeeman qubit levels ∣↓⟩ and ∣↑⟩ with a splitting frequency of ω0=2π×11.8964(5) MHz. A 3-picosecond laser pulse simultaneously excites the ions, triggering a spontaneous emission sequence at 493 nm that generates entangled ion-photon states with an average fidelity of 0.983(1). The emitted single photons are transmitted via optical fiber networks to the centralized generator, where a waveplate array aligns their polarization to a shared horizontal/vertical basis before pairwise interference at polarization beam splitters. Triple coincidence detection on six avalanche photodiodes erases the photon "which-path" information, heralding the entangled state of the target atomic memories.
Analysis of system operational constraints indicates that the primary sources of state infidelity are polarization mixing (0.037) and spatial mode mismatch (<0.03). Motion decoherence induced by photon recoil within the 50-nanosecond heralding window contributes an additional 0.03 infidelity, while state preparation and measurement (SPAM) configurations introduce an error rate of 0.015. The net end-to-end single-photon collection efficiencies (pi) for the three nodes range from 0.0074 to 0.0145. These efficiency limitations are determined by fiber coupling drift and cumulative recoil heating over repeated 1-microsecond entanglement cycles, currently requiring periodic interruptions for Doppler cooling.
This three-node network performs a deterministic test of quantum nonlocality by measuring the Mermin parameter at 3.203(45), violating the classical local hidden variable upper bound of ≤2 by 27 standard deviations. Qubit states are analyzed by driving a 1762 nm laser π-pulse to transfer the ∣↓⟩ state population to the target 2D5/2 level, followed by fluorescence imaging under combined 493 nm and 650 nm illumination. Due to the high state readout efficiency (>99.7%) of trapped ions, the experiment closes the detection loophole. This represents a verification of multi-node Mermin inequality violation using remote, individually addressable atomic memories rather than purely photonic or ensemble media.
The realization of fully distributed three-party entanglement outlines an engineering pathway for modular quantum computing systems. This infrastructure model does not attempt to scale processing power within a single monolithic vacuum chamber; instead, it connects distinct localized quantum processing nodes via photonic interconnects to distribute computational workloads. The event-ready generation of these distributed states establishes a foundational framework for multi-party cryptographic protocols, secure quantum secret sharing, and distributed quantum sensing networks using interconnected atomic nodes.
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