An experiment by researchers at the University of Science and Technology of China used quantum computers to calculate Betti numbers for the first time. The work "suggests that data analytics may be an important future application for quantum computing, with widespread applications in our increasingly data-centric world," the researchers say.
The team ran a quantum algorithm developed by the Massachusetts Institute of Technology's Seth Lloyd and colleagues to accelerate Betti number calculation on a quantum system, using a six-photon quantum processor to analyze the topological features of Betti numbers in a network of three data points at two different scales. The researchers say the outcome fulfilled their expectations precisely.
"Future advances in the field could open up new frontiers in data analysis for quantum computing, including signal and image analysis, astronomy, network and social media analysis, behavioral dynamics, biophysics, oncology, and neuroscience," the team predicts.
From Technology Review
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