  Schr\"odinger's thought experiment to prepare a cat in a superposition of
both alive and dead states reveals profound consequences of quantum mechanics
and has attracted enormous interests. Here we propose a straightforward method
to create quantum superposition states of a living microorganism by putting a
small cryopreserved bacterium on top of an electromechanical oscillator. Our
proposal is based on recent developments that the center-of-mass oscillation of
a 15-$\mu$m-diameter aluminium membrane has been cooled to its quantum ground
state [Nature 475: 359 (2011)], and entangled with a microwave field [Science
342: 710 (2013)]. A microorganism with a mass much smaller than the mass of the
electromechanical membrane will not significantly affect the quality factor of
the membrane and can be cooled to the quantum ground state together with the
membrane. Quantum superposition and teleportation of its center-of-mass motion
state can be realized with the help of superconducting microwave circuits. More
importantly, the internal states of a microorganism, such as the electron spin
of a glycine radical, can be entangled with its center-of-mass motion and
teleported to a remote microorganism. Our proposal can be realized with
state-of-art technologies. The proposed setup is a quantum-limited magnetic
resonance force microscope. Since internal states of an organism contain
information, our proposal also provides a scheme for teleporting information or
memories between two remote organisms.
