Should we insure ourselves for the risk of quantum computers breaching our cyber defenses?

Imagine it is 2052. The Chinese head of the quantum computer development program connects the first fully operable quantum computer to the internet. His team is under direct supervision of Xi Mingze, the daughter of XI Jinping. She has become the new General Secretary of the Chinese Communist Party. During a smooth transition period, she took over the office from her father in 2035. The Chinese operator waits a second, but then the magic machine switches on and starts to gather data from the world wide web.