A Protocol for Quantum Energy Distribution

A new protocol, quantum energy distribution (QED), is proposed in which multiple parties can simultaneously extract positive energy from spin chains by common secret keys shared by an energy supplier. QED is robust against impersonation; an adversary, who does not have a common secret key and attempts to get energy, will instead give energy to the spin chains. The total amount of energy transfer gives a lower bound of the residual energy of any local cooling process by the energy supplier.