I have a question regarding time dilation and particle entanglement. As I have read a few forums and questions here, I am aware both aspects do not contradict each other. Still, a question that I am having remains quite unanswered.
Imagine we are using a fictional device that relies on entangled particles to transfer information from a station on Earth and a space ship. Regard this as a communication device, that provides "real-time" communication, since it is not subjected to the delays that time lag causes with radio waves. The communication is established as a two way, and each end is responsible for sending signals for its state and receiving data from the other end. There is no central system in between, the two ends communicate directly to each other. For the sake of the question, please assume the device simply exists, rather than discuss whether is it possible at all to create such.
Now, the scenario involves a direct audio and video communication (like a Skype conference call) between the station and spaceship.
What would be the experience of the communication for both parties as the ship is launched in space and hypothetically reaches relative speed to the one of light?
I personally assume that the Einstein paradox of both clocks slowing down will not be present, as the quantum entanglement should provide real-time communication. Still as the speed difference becomes significant, I assume the guys on earth would observe slower rate of signals coming from the space ship due to the time dilation, thus they will see it slowing down to still image. On the contrary, the ship crew could see the events on earth getting faster and faster. At such point a meaningful real-time video and audio communication (supposedly supported by the device) would probably be impossible.
What are you thoughts on this?
Update: (regarding the answer of fellow user vnb)
The device does not transmit information faster than light. The communication is immediate in terms of reflecting the action on any of the parties and immediately presenting it to the other (which I believe is achievable via quantum entanglement). Thus, the speed of the information flow will be the maximum possible speed of decoding the particle's state of the receiving reference frame.
Therefore the purpose of the question is, what would be the possible twists and distortions of the information that the other party receives when one of the parties is affected by time dilation?