19 December 2024 Thu 4 pm

In the past few decades, the advent of quantum information theory has promoted the nonclassical aspects of quantum mechanics such as: quantum superposition, uncertainty principle, and quantum entanglement, from the sources of never-ending conceptual debates about the meaning of quantum mechanics, to the key resources for novel schemes of quantum technologies. On the other hand, since the early days, there have been significant efforts to better understand quantum statistics as some sort of modification of classical statistics. A powerful method in this line of approach is by using the mathematical concept of quasiprobability which can be seen as a quantum analog of phase space probability distribution of classical statistical mechanics, but allowing negative and/or nonreal values. In the talk I will discuss my recent attempts to use the nonreal and/or real but negative values of Kirkwood-Dirac quasiprobability, and also a related concept of strange nonreal weak value, to characterize and quantify quantum coherence, asymmetry, uncertainty, general nonclassical correlation and entanglement. This is motivated by the fact that both classes of the defining features of quantum mechanics stem from quantum noncommutativity.

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