Quantumness tests and witnesses in the tomographic-probability representation
arXiv:0902.0238 · doi:10.1088/0031-8949/79/05/055007
Abstract
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.
9 pages, 1 figure, LaTex file, submitted to Physica Scripta
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- Chebyshev polynomials and Fourier transform of SU(2) irreducible representation character as spin-tomographic star-product kernel
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- Probability representation and quantumness tests for qudits and two-mode light states
- Steering in spin tomographic probability representation