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arXiv:0811.3376 · Physical Review A

Improved implementation of the Alicki–Van Ryn nonclassicality test for a single particle using Si detectors

G. Brida, Ivo Pietro Degiovanni, Marco Genovese, Fabrizio Piacentini, Valentina Schettini, Nicolas Gisin, Sergey V. Polyakov, Alan L. Migdall

Published Apr 15, 2009• 24 citations
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Abstract

Recently a test of nonclassicality for a single qubit was proposed [R. Alicki and N. Van Ryn, J. Phys, A: Math. Theor. 41, 062001 (2008)]. We present an optimized experimental realization of this test leading to a 46 standard deviation violation of classicality. This factor-of-5 improvement over our previous result was achieved by moving from the infrared to the visible where we can take advantage of higher-efficiency and lower-noise photon detectors.

DOI
10.1103/physreva.79.044102

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Recently a test of nonclassicality for a single qubit was proposed [R. Alicki and N. Van Ryn, J. Phys, A: Math. Theor. 41, 062001 (2008)]. We present an optimized experimental realization of this test leading to a 46 standard deviation violation of classicality. This factor-of-5 improvement over our previous result was achieved by moving from the infrared to the visible where we can take advantage of higher-efficiency and lower-noise photon detectors.
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A recently proposed test of quantumness Alicki and Van Ryn ( 2008 J. Phys. A: Math. Theor. 41 062001 ) is put into a broader mathematical and physical perspective. The notion of quantumness witnesses is introduced, in analogy to entanglement witnesses, and is illustrated by examples of single qubit and many-body systems with additive observables. We also compare our proposal with the quantumness test based on quantum correlations (entanglement) and Bell inequalities, and go on to discuss a class of quantumness witnesses associated with the phase-space representation of quantum mechanics.
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In view of the tomographic-probability representation of quantum states, we reconsider the approach to quantumness tests of a single system developed by Alicki and Van Ryn (2008 J. Phys. A: Math. Theor. 41 062001). For qubits we introduce a general family of quantumness witnesses, which are operators depending on an extra parameter. Spin tomogram and dual-spin tomographic symbols are used to study qubit examples and the test inequalities which are shown to satisfy simple relations within the framework of the standard probability theory.
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