Abstract
We give a complete proposal showing how to detect the non-classical nature of photonic states with naked eyes as detectors. The enabling technology is a sub-Poissonian photonic state that is obtained from single photons, displacement operations in phase space and basic non-photon-number-resolving detectors. We present a detailed statistical analysis of our proposal including imperfect photon creation and detection and a realistic model of the human eye. We conclude that a few tens of hours are sufficient to certify non-classical light with the human eye with a p-value of 10%.
Highlights
Introduction & motivationsEfforts have been recently devoted to the realization of quantum experiments with the human eye
The enabling technology is a sub-Poissonian photonic state that is obtained from single photons, displacement operations in phase space and basic non-photon-number-resolving detectors
Through a detailed feasibility study including a realistic model of the human eye with a reasonable recovery time as well as imperfect photon creation and detection, that a few tens of hours are sufficient for our witness to conclude about non-classicality with a p-value of 10%
Summary
Efforts have been recently devoted to the realization of quantum experiments with the human eye. [2] and [4], entanglement is detected before the amplification That is, these proposals allow one to conclude that few-photon entanglement can be detected by the human eye upgraded by phase-covariant cloning and displacement operations respectively. [4] is appealing as it uses simple ingredients, namely single-photon entanglement and displacement operations In this manuscript, we derive a witness for non-classical states and we show how the same ingredients allow one to reveal the non-classical nature of a superposition state with the eye. While entanglement detection requires measurements in different bases, the experiment that we propose is simpler as it uses displacement operations with fixed amplitudes and phases. It does not need interferometric stabilization of optical paths and is very robust against loss. Our results point towards a concrete proposal for implementing the first experiment where the quantum nature of light is revealed directly with the human eye
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