Quantum delayed-choice experiment in an environment with arbitrary white noise

The development of quantum technologies depends on the investigation of the behaviour of quantum systems in noisy environments, since complete isolation from its environment is impossible to achieve. In this paper, we show that the main features of a quantum delayed-choice experiment hold even if performed in a system with an arbitrary level of white noise. In light of our results, we analyse recent optical and NMR experiments and show that a loophole on non-locality is not fundamental. (paper)