The arrow of time describes the notion that in many macroscopic physical processes time seems to flow in one direction only. For example, if we leave an ice cube under the sun, after half an hour we expect the cube to have melted completely, and we do not expect the melted water to form the ice cube again after another half hour under the sun. But what about microscopic processes ruled by the quantum physics? I will give an overview of a recent paper describing an experiment of time reversal simulated on a working quantum computer.