Quantumness tests and witnesses in the tomographic-probability representation

Details Quantumness tests and witnesses in the tomographic-probability representation Quantumness tests and witnesses in the tomographic-probability representation

2009-02-02

arxiv.org/abs/0902.0238v1

Phys. Scr. 79 (2009) 055007 (5pp)

Physics

Quantum Physics

9 pages, 1 figure, LaTex file, submitted to Physica Scripta

Scientific paper

10.1088/0031-8949/79/05/055007

In view of the tomographic-probability representation of quantum states, we reconsider the approach to quantumness tests of a single system developed in [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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