层析成像概率表示中的量子检验和见证
Quantumness tests and witnesses in the tomographic-probability representation
摘要：
鉴于量子态的断层概率表示，我们重新考虑在[Alicki和Van Ryn 2008 J. Phys. A：Math.Theor. 41 062001]。对于量子比特，我们引入了一个一般的家庭的量子证人，这是运营商依赖于一个额外的参数。自旋断层图和双自旋断层符号被用来研究量子比特的例子和测试不等式，这些不等式在标准概率论的框架内被证明满足简单的关系。
英文摘要：
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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