Quantum and classical temporal ghost imaging of a non-reproducible signal

Exploitation of the statistical properties of classical or non-classical light sources is the cause of fascinating new applications. For the two last decades, ghost imaging has emerged as a way to form images of an object with a Single Point Detector (SPD) that does not have spatial resolution [1-5]. By taking into account space-time duality in optics, the extension of the results of spatial ghost imaging to the time domain was investigated [6]. However, the proposed solution used an SPD and many realizations (several thousands) of the same temporal signal, limiting the current applications to the detection of synchronized and reproducible signals. This is in contrast with the original concept of spatial ghost imaging, where the object is unique, but multiplied in the time domain by a random modulation, different from one pixel to another, leading to multiplexing in this time domain.