You don't need to assume any sort of transmission is possible as it already is allowed mathematically in deterministic hidden variable theories being developed to unify the discrepancies between quantum mechanics and general relativity. Quantum mechanics is non-deterministic by definition, as a derivitive of the Heisenberg Uncertainty Principle, and therefore it is a simple axiom that nothing at all is predetermined and nothing at all can be exactly known. So some may quarrel with how your idea is denounced by quantum mechanics - because it is - but quantum mechanics is only one partial explanation of our universe, and everyone getting paid in that area accepts that it is incomplete (which is why we still look for the Grand Unified Theory).
Many have accepted in the discoveries of dark matter, dark energy, and matter-antimatter asymmetry problem that there simply must be some constants and variables in this universe which are beyond our perception. The De Broglie–Bohm theory supports that somehow, fundamentally, there are deterministic quantities at the foundation of this universe. It's not really hard to accept, and it is well supported in mathematical HVT models.
Hidden Variable theory does allow for instantaneous information transmission via quantum entanglement, so your world simply supports the De Broglie–Bohm theory of quantum operations rather than a rigid quantum mechanical doctrine.
But before we go into the instantaneous information transmission application, they are currently being used to transmit code keys for sending secure information. For example, assume I send you a jumble of letters that only make sense when you add or subtract some number from each letter. The problem today is that I have to get you that code somehow. Assume the number is "1011010," now when I send this to you in an email, someone can hack it and decode our secret. However, with entangled particles, we can send beams of entangled photons to you and I, and the "number" in that beam does not exist until one of us measures the light. When I get my beam, I decode a number (which is random, by the way), and get "1011010". With quantum entanglement, I already know two things:
This is very valuable in transmitting information with no possibility of being decoded.
Per HVT, you and I can get the same quantum entangled beams, and I could encode quantum counterfactual information onto my photon, and mathematically your entangled photon would also contain that counterfactual information.
The technology would mostly be wasted in computers due to the loss rate and difficulty of entangling a single particle. It's best suited for larger scale, interplanetary links or further, where radio propagation delays become an obstacle.