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Single quantum bit achieves complex systems modeling
A PMD process with period N can be exactly modelled with N memory states. At each time step, the process either "survives" (no tick occurs) and the model advances to the next state or undergoes a tick event, and the model moves to a reset state. Due to the N-periodic nature of the conditional statistics, the model also returns to the reset state after surviving N timesteps, leading to the clock-like structure of the model dynamics as depicted.
Single quantum bit achieves complex systems modeling
by Staff Writers
Beijing, China (SPX) Jun 09, 2023
A team led by Academician GUO Guangcan from the University of Science and Technology of China (USTC) of the Chinese Academy of Sciences (CAS), with collaborative efforts from the University of Manchester, and Nanyang Technological University, has achieved new progress in applying quantum technologies in complex systems modeling. The results were published in Nature Communications on May 6.

Stochastic modeling can help us to predict the future behavior of complex processes, which are non-Markovian. In order to simulate a non-Markovian process, a memory is of necessity to store a large amount of observed information about the past of the system. However, it remains elusive to reduce the memory while ensuring the accuracy of predictions.

Researchers demonstrated that their quantum model based on photonic systems can simulate any process in non-Markovian stochastic processes using only a single quantum bit, even in the presence of experimental noise. The quantum model was capable of making more accurate predictions of future behaviors than the optimal classical model with the same memory dimension.

This study successfully demonstrates the storage benefits of quantum technology for modeling non-Markovian processes in complex systems. This is also a key step toward demonstrating the scalability and robustness of quantum memory advantage.

Research Report:Implementing quantum dimensionality reduction for non-Markovian stochastic simulation

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