When the Left Hand and the Right Hand Cooperate Without Informing their Owner

A specific instantiation of classical correlation from entangled quantum resources can be established at a distance through the use of local measurements without classical communication. It is thereby possible to, e.g., allow distant entities to randomly combine forces on a course of action which is an element of a predetermined set of possible actions. When this protocol is used, no one knows which action has been chosen. The protocol is intrinsically secure in the same sense as a one-time pad. The entities must have a shared entanglement resource, be able to measure that resource in a predetermined reference frame, and know what they must do to carry out all of the possible actions.