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23 April 2024
 
  » arxiv » 1907.3393

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Low-Loss High-Fidelity Frequency-Mode Hadamard Gates Based on Electromagnetically Induced Transparency
Kao-Fang Chang ; Ta-Pang Wang ; Chun-Yi Chen ; Yi-Hsin Chen ; Yu-Sheng Wang ; Yong-Fan Chen ; Ying-Cheng Chen ; Ite A. Yu ;
Date 8 Jul 2019
AbstractFrequency-encoded photonic qubits are not only more stable over long transmission distances but also more robust against birefringent materials. A 50/50 frequency beam splitter (FBS) is the Hadamard gate in quantum logic operation, which coherently converts a photon in one frequency or wavelength mode to another photon in the superposition of two different modes. Previous works revealed that the Hadamard gates or FBS’s operating at the single-photon level had overall efficiencies or output-to-input ratios less than 50%. Here, our FBS is made with the four-wave mixing (FWM) process based on the dual-$Lambda$ electromagnetically induced transparency (EIT) scheme. We achieved an overall efficiency of 90$pm$4% with coherent-state single photons, which is the best up-to-date record for 50/50 FBS. In addition, we utilized this EIT-based scheme to perform wavelength conversion with light pulses of photon number less than one. We obtained an output-to-input ratio of 84$pm$4%, which is not only the highest record currently achieved, but also the first experimental demonstration of preservation of the quantum state in the dual-$Lambda$ EIT scheme. This demonstration was revealed by the fidelity of our Hadamard gate. To measure the fidelity, we propose a novel method using Hong-Ou-Mandel interference (HOMI) for quantum process tomography. The fidelity of our Hadamard gate indicated by the HOMI’s $g^{(2)}$ measurement is 0.99$pm$0.01. This low-loss high-fidelity Hadamard gate or wavelength converter based on the dual-$Lambda$ EIT scheme can lead to useful operations or devices, such as entanglement swapping, multiplexer, etc., in long-distance quantum communication.
Source arXiv, 1907.3393
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