High-fidelity entanglement swapping and generation of three-qubit GHZ state using asynchronous telecom photon pair sources
Yoshiaki Tsujimoto, Motoki Tanaka, Nobuo Iwasaki, Rikizo Ikuta,, Shigehito Miki, Taro Yamashita, Hirotaka Terai, Takashi Yamamoto, Masato, Koashi, and Nobuyuki Imoto

TL;DR
This paper demonstrates high-fidelity entanglement swapping and GHZ state generation using asynchronous telecom photon sources, employing time-resolved detection to achieve indistinguishability without active synchronization.
Contribution
It introduces a method for entanglement swapping and GHZ state creation with asynchronous sources using time-resolved detection, eliminating the need for active timing synchronization.
Findings
Fidelities of 0.84 for entanglement swapping and 0.70 for GHZ state generation.
Use of fiber-based Bragg gratings and superconducting nanowire detectors for high-quality photon detection.
Successful demonstration of asynchronous photon source compatibility with quantum communication protocols.
Abstract
We experimentally demonstrate a high-fidelity entanglement swapping and a generation of the Greenberger-Horne-Zeilinger~(GHZ) state using polarization-entangled photon pairs at telecommunication wavelength produced by spontaneous parametric down conversion with continuous-wave pump light. While spatially separated sources asynchronously emit photon pairs, the time-resolved photon detection guarantees the temporal indistinguishability of photons without active timing synchronizations of pump lasers and/or adjustment of optical paths. In the experiment, photons are sufficiently narrowed by fiber-based Bragg gratings with the central wavelengths of 1541~nm and 1580~nm, and detected by superconducting nanowire single-photon detectors with low timing jitters. Observed fidelities are 0.84 \pm 0.04 and 0.70 \pm 0.05 for the entanglement swapping and generation of the GHZ state, respectively.
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