That’s not really how quantum entanglement works. When particles are entangled, their quantum mechanical states cannot be described independently. So you couldn’t write down a waveform for just one particle and have it correctly describe reality, you would need the waveform of the entire state and therefore all entangled particles.
As a consequence, certain physical observables can be highly correlated between the particles. For example, if the spin of the overall entangled state of 2 particles is 0, then the spin of 1 particle will be exactly opposite the spin of the other. But these spins are only defined upon measurement (interaction with a system that is deterministic), and at that point the entangled state is collapsed. There’s no mechanism for transporting information while maintaining an entangled state.
Ignoring this fundamental issue, it still wouldn’t be possible to maintain an entangled state between particles in a pair of twins for any practical amount of time. Maintaining coherence in qubits (entailed bits) is one of the big challenges in quantum computing. If the qubits interact with the environment it breaks their entanglement. Even just thermal vibrations will destroy the state. So typically qubits are held at near absolute 0 in a dilution refrigerator. Even still, the longest a qubit has been kept coherent is 5 seconds.