It is considered impossible to transmit information faster than light. It has been never achieved in an experiment and the scientific consensus it is that it's impossible.
A good breakdown of the arguments is here.
In short, faster-than-light travel of information is equivalent to time travel, which is ripe with paradoxes.
More information on wikipedia
The current scientific consensus is that faster-than-light communication is not possible, and to date it has not been achieved in any experiment.
Superluminal communication is believed to be impossible because, in a Lorentz-invariant theory, it could be used to transmit information into the past. This contradicts causality and leads to logical paradoxes.
Wikipedia also mentions the no communication theorem which specifically applies to quantum information theory.
In physics, the no-communication theorem is a no-go theorem from quantum information theory which states that, during measurement of an entangled quantum state, it is not possible for one observer, by making a measurement of a subsystem of the total state, to communicate information to another observer. The theorem is important because, in quantum mechanics, quantum entanglement is an effect by which certain widely separated events can be correlated in ways that suggest the possibility of instantaneous communication.
In fact, this directly disproves the CRI article, which claims
The tiny particles act as if it's in two places at the same time - a phenomenon known as "superposition."
in practice it means that calculations can be carried out faster than light. [sic]
In other words, the article is confusing quantum entanglement ("spooky action at a distance", without communication of information), with quantum computing, which would allow us to calculate stuff really fast, but... not faster than light, which is meaningless.