Proposal for witnessing non-classical light with the human eye

A. Dodel1, A. Mayinda1, E. Oudot1, A. Martin2, P. Sekatski3, J.-D. Bancal1, and N. Sangouard1

1Department of Physics, University of Basel, Klingelbergstrasse 82, 4056 Basel, Switzerland
2Group of Applied Physics, University of Geneva, Ch. de Pinchat 22, 1211 Geneva, Switzerland
3Institut for Theoretische Physik, Universitat of Innsbruck, Technikerstraße 25, A-6020 Innsbruck, Austria

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%.


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[1] N. Brunner, C. Branciard, and N. Gisin, Phys. Rev. A 78, 052110 (2008).

[2] P. Sekatski, N. Brunner, C. Branciard, N. Gisin and C. Simon, Phys. Rev. Lett. 103, 113601 (2009).

[3] P. Sekatski, B. Sanguinetti, E. Pomarico, N. Gisin, and C. Simon, Phys. Rev. A 82, 053814 (2010).

[4] V. Caprara Vivoli, P. Sekatski, and N. Sangouard, Optica 5, 473 (2016).

[5] N. Gisin and R. Thew, Nature Photonics 1, 165 (2007).

[6] V. Giovannetti, S. Lloyd, and L. Maccone, Nature Photonics 5, 222 (2011).

[7] C.L. Degen, F. Reinhard, and P. Cappellaro, arXiv:1611.02427.

[8] T.D. Ladd, F. Jelezko, R. Laflamme, Y. Nakamura, C. Monroe, and J. O'Brien, Nature 464, 45 (2010).

[9] D. F. Walls, G. J. Milburn, Quantum optics, Springer Science & Business Media (2007).

[10] R. J. Glauber, Phys. Rev. 131, 2766 (1963).

[11] Recall that any state admits such a representation, however $p(\alpha)$ might not be positive, and hence not a probability distribution.

[12] J.K. Asboth, J. Calsamiglia, and H. Ritsch, Phys. Rev. Lett. 94, 173602 (2005).

[13] P. Sekatski, N. Sangouard, F. Bussières, C. Clausen, N. Gisin and H. Zbinden, J. Phys. B: At. Mol. Opt. Phys. 45, 124016 (2012).

[14] S. Hecht, S. Shlaer, and M. Pirenne, J. Gen. Physiol. 25, 819 (1942).

[15] F. Rieke and D.A. Baylor, Rev. Mod. Phys. 70, 1027 (1998).

[16] J.N. Tinsley, M.I. Molodtsov, R. Prevedel, D. Wartmann, J. Espigulé-Pons, M. Lauwers and A. Vaziri, Nature Comm. 7, 12172 (2016).

[17] K. Donner, Vision Res. 32, 853 (1992).

[18] G.D. Field, A.P. Sampath and F. Rieke, Ann. Rev. Physiol. 67, 491 (2005).

[19] V. Caprara Vivoli, P. Sekatski, J.-D. Bancal, C.C.W. Lim, A. Martin, R. T. Thew, H. Zbinden, N. Gisin and N. Sangouard, New J. Phys. 17, 023023 (2015).

[20] A. B. U'Ren, C. Silberhorn, R. Erdmann, K. Banaszek, W. P. Grice, I. A. Walmsley, and M. G. Raymer, Las. Phys. 15, 146 (2005).

[21] T. Guerreiro, A. Martin, B. Sanguinetti, N. Bruno, H. Zbinden, and R. T. Thew, Optics express 21, 27641 (2013).

[22] N. Bruno, A. Martin, P. Sekatski, N. Sangouard, R. Thew and N. Gisin, Nature Physics 9, 545 (2013).

[23] F. Monteiro, V. Caprara Vivoli, T. Guerreiro, A. Martin, J.-D. Bancal, H. Zbinden, R.T. Thew and N. Sangouard, Phys. Rev. Lett. 114, 170504 (2015).