报告题目：Duistermaat-Heckman measure and mixture of adjoint orbits of quantum states
摘要：In this work, using a unifying treatment, we derive the spectral density of the mixture of adjoint orbits of quantum states in terms of Duistermaat-Heckman measure, originated from the theory of symplectic geometry. Some examples in lower dimensional space can be computed explicitly. As an application, we show that, in the two-level quantum system, the average entropy of the equiprobable mixture of three random density matrices chosen from a random state ensemble (specified in the text) is strictly larger than that of the equiprobable mixture of two random density matrices from the same ensemble.
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