According to one embodiment, a quantum computation apparatus includes a plurality of quantum nonlinear oscillators, a controller, and a measuring device. Each of the quantum nonlinear oscillators implements superposition of distinguishable quantum states by bifurcating one quantum state via a quantum adiabatic change controlled by a bifurcation parameter. The quantum nonlinear oscillators couple with each other by nondissipative coupling accompanying no loss. The controller individually controls the bifurcation parameters of the quantum nonlinear oscillators. A measuring device measures outputs from the quantum nonlinear oscillators.