I have read that you can use quantum teleportation to transmit states from one place to another.
If you have two entangled systems A and B you can measure the A system in such a way that measuring the B system will give you correlated measurements. For example measuring spin up on one photon of an entangled pair implies you will measure spin down on the other one. Can this be made with momentum?
If I understand correctly entanglement happens because of conservation laws. When two systems become entangled some properties (like spin) become entangled or "undetermined" until the moment you interact with some part of the system at which point the measurement gives you a concrete but random answer for that subsystem alone which automatically fixes any measurement outcome for the other subsystem in order to maintain the conservation law.
Since momentum is a conserved quantity I though perhaps this could also be done with momentum.
Could this be used to transfer momentum from one place to another? If it can be done then you could make a rocket engine where the propellant and the engine itself are located on earth and the rest of the ship on space. Of course you would need a classical communication channel between the two parts.