Quantum computational advantage using photons
Han-Sen Zhong, Hui Wang, Yu-Hao Deng, Ming-Cheng Chen, Li-Chao Peng,, Yi-Han Luo, Jian Qin, Dian Wu, Xing Ding, Yi Hu, Peng Hu, Xiao-Yan Yang,, Wei-Jun Zhang, Hao Li, Yuxuan Li, Xiao Jiang, Lin Gan, Guangwen Yang, Lixing, You, Zhen Wang, Li Li, Nai-Le Liu, Chao-Yang Lu

TL;DR
This paper demonstrates a quantum computational advantage using Gaussian boson sampling with 50 squeezed states, a 100-mode interferometer, and 100 detectors, achieving a sampling rate vastly surpassing classical simulations.
Contribution
It presents an experimental realization of quantum advantage with high indistinguishability and large-scale optical setup, surpassing classical simulation capabilities.
Findings
Sampling rate 10^14 times faster than classical methods
Output state space dimension of 10^30
Validation against multiple classical hypotheses
Abstract
Gaussian boson sampling exploits squeezed states to provide a highly efficient way to demonstrate quantum computational advantage. We perform experiments with 50 input single-mode squeezed states with high indistinguishability and squeezing parameters, which are fed into a 100-mode ultralow-loss interferometer with full connectivity and random transformation, and sampled using 100 high-efficiency single-photon detectors. The whole optical set-up is phase-locked to maintain a high coherence between the superposition of all photon number states. We observe up to 76 output photon-clicks, which yield an output state space dimension of and a sampling rate that is faster than using the state-of-the-art simulation strategy and supercomputers. The obtained samples are validated against various hypotheses including using thermal states, distinguishable photons, and uniform…
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