It's also quite interesting to compare to the Soviet Union, which managed around 30 Nobel laureates in spite of also going through a communist revolution and some genocides like China did.
Russia / the USSR had a recent intellectual, scientific, and technological history in ways that China largely did not.
One datapoint: Sir John Barrow, Second Secretary to the Admiralty from 1804--1845, was part of a British envoy to China in the 1790s. Attempts to impress the Emperor with British science and technology left far less an impression than was hoped, with the Emperor dismissing the demonstration. A brief account of this being in the biography Barrows Boys by Fergus Fleming (1998).
China does have a long history of scientific and technological development, though by the 20th century this was all but forgotten / overlooked by the Chinese themselves, and it fell on an outsider, Joseph Needham (TK-chinese) to reacquaint them with this past, in Science and Civilisation in China, a 30-plus volume work begun in the 1950s and still in production.
