Conditions on detecting three-photon entanglement in psychophysical experiments

This paper explores the sensitivity of the human visual system to the quantum entangled photons. We examine the possibility of human subjects perceiving higher dimensional quantum entangled photons through psychophysical experiments. Our focus begins with a two-photon entangled state to make a comparative study with the literature by taking into account additive noise for false positive on two-photon entanglement perception by humans. After that, we limit our similar investigation to a three-photon entangled state for simplicity in higher dimensions. To model the photodetection by humans, we employ the probability of seeing determined for coherently amplified photons in Fock number states, including an additive noise. Our results indicate that detecting two-photon and three-photon entanglement with the human eye is possible for a certain range of additive noise levels and visual thresholds.