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note
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This work is supported by the UK Engineering and Physical Sciences Research Council. S.F.A. is a Research Councils UK Research Fellow. S.M.B. and M.J.P. thank the Royal Society and the Wolfson Foundation. We thank J. Götte and D. Oi for useful discussions. We acknowledge the financial support of the Future and Emerging Technologies (FET) program within the Seventh Framework Programme for Research of the European Commission, under the FET Open grant agreement HIDEAS number FP7-ICT-221906. We would like to thank Hamamatsu for their support of this work. A.K.J. and R.W.B. were supported by a U.S. Department of Defense Multidisciplinary University Research Initiative award. The experiment was devised by J.L., M.J.P., and A.K.J. and performed by J.L., B.J., and J.R. D.I. designed the coincidence-counting electronics. S.M.B. and A.M.Y. formulated the inequalities. The results were interpreted and the manuscript drafted by M.J.P., S.M.B., A.M.Y., J.L., R.W.B., and S.F.A., with further inputs from all authors.
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