My favorite not-quite-probability distribution
Автор: Mathematical Modelling UTM
Загружено: 2022-11-07
Просмотров: 90
Описание:
Nicole Yunger Halpern
Joint Center for Quantum Information and Computer Science, University of Maryland, USA
Quasiprobability distributions resemble probability distributions but can contain negative and imaginary values. Such values are necessary for representing quantum states. A given quantum state can be represented with each of many quasiprobability distributions. Among the least famous representations is the Kirkwood-Dirac distribution, discovered during the early 1900s and then forgotten. But the Kirkwood-Dirac distribution has been enjoying a renaissance recently: Applications range from quantum chaos to metrology, thermodynamics, and the foundations of quantum theory. I will introduce the Kirkwood-Dirac distribution and illustrate its usefulness in metrology: The quasiprobability can be used to prove that operators’ noncommmutation—a quantum phenomenon—improves a metrological protocol’s precision-to-cost ratio.
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