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arXiv:0902.0238 · Physica Scripta

Quantumness tests and witnesses in the tomographic-probability representation

Sergey N. Filippov, Vladimir I. Man’ko

Published Apr 29, 2009• 15 citations
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Abstract

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.

DOI
10.1088/0031-8949/79/05/055007

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