  A model of joint random walk of two agents on an infinite plane is
considered. The agents possess no means of mutual classical communication, but
have access to quantum entanglement resource which is used according to a
pre-arranged protocol. Depending on the details of the protocol, an effective
force of attraction or repulsion emerges between the two agents. The emergence
of this force from quantum entanglement is interpreted in terms of spherical or
hyperbolic geometries for attraction or repulsion, respectively.
