Based on Einstein's special relativity, light speed is limited, but, the entanglement of the quantum states proves the instant replacement of information between two entangled quantum states.is there any contradiction in this regard?
What you are adressing there is essentially the Einstein-Podolski-Rosen paradox and its implications: https://en.wikipedia.org/wiki/Einstein%E2%80%93Podolsky%E2%80%93Rosen_paradox
It has been quite a hot topic over the decades, but in the meantime some experiments have been published, see also https://en.wikipedia.org/wiki/Bell_test
These experiments are mostly, but not universally accepted.
Quantum mechanics allows for the transfer of interactions between particles that exceed the speed of light. Why does he allow it? Because if you localize a particle at one point, then its momentum, that is, its speed, will be infinite (from the Heisenberg uncertainty principle). This happens in the context of Einstein’s special concepts, where the speed in nature cannot be higher than the speed of light.
And one more thing... Einstein could not go against Heisenberg’s principle, but he believed that all this is connected with our ignorance of the microworld, in fact, everything there in the microworld is determined, it’s just not given to us to know (local realism). Bohr, on the contrary, believed that the microcosm is fundamentally stochastic....
Entanglement is one of the most fundamental yet confusing consequences of the Quantum Nature of the world. It has been proven to be a correct description of nature in a large number of increasingly sophisticated experiments, and it is already used for practical applications, including information transfer ("teleportation") and quantum computing. All attempts (including by Einstein, Podolski and Rosen and many others) to come up with an explanation that supersedes the purely statistical interpretation of QM have been proven to be incompatible with experiments (see Bell's theorem).
The "conflict" with Einstein's theory of special relativity is only an apparent conflict - somehow we cannot imagine how the "quantum state" of one particle in an entangled pair can instantaneously change due to a measurement on the other particle, without there being some information exchanged between the two. However, none of the above experiments REQUIRES an exchange of ANYTHING between the 2 particles - the only thing that changes instantaneously is our knowledge of their state. In particular, quantum entanglement CANNOT be used to transfer information or anything else faster than the speed of light, so there really is no contradiction.
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