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Luo Laizhen Wang Jiamei Zhang Lin Jing Yangping 《International Journal of Theoretical Physics》2021,60(7):2642-2652
International Journal of Theoretical Physics - In this paper, we will consider the exact calculation of differential entropy of induced random state ensemble by partial tracing a subsystem over... 相似文献
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In 2005, Professor Gudder presented 25 open problems of sequential effect algebras, and in this paper, we survey the development
of these problems, and we point out two new interesting topics in the sequential effect algebras, too. 相似文献
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Zhang Lin Jiang Yanjun Luo Laizhen Jing Yangping 《International Journal of Theoretical Physics》2021,60(7):2473-2487
The purpose of this paper is to give a perspective about the Robertson-Schrödinger uncertainty relation via random observables instead of random quantum state in this relation. Specifically, we randomize two observables by choosing them from Gaussian Unitary Ensemble (GUE) and Wishart ensemble, respectively, with a fixed quantum state, and then calculate the average of difference between uncertainty-product and its lower bound in the Robertson-Schrödinger uncertainty relation. Then we consider such average how distribute as to that given quantum state. By doing so, we can figure out how the gap between uncertainty-product and its lower bound becomes larger when increasing the dimensions.
相似文献4.
Laizhen Luo Xiaoyu Li Yuanhong Tao 《International Journal of Theoretical Physics》2016,55(12):5069-5076
We first construct a new maximally entangled basis in bipartite systems \(\mathbb {C}^{d} \otimes \mathbb {C}^{kd}\ (k\in Z^{+})\) which is diffrent from the one in Tao et al. (Quantum Inf. Process. 14, 2291 (2015)), then we generalize such maximally entangled basis into arbitrary bipartite systems \(\mathbb {C}^{d} \otimes \mathbb {C}^{d^{\prime }}\). We also study the mutual unbiased property of the two types of maximally entangled bases in bipartite systems \(\mathbb {C}^{d} \otimes \mathbb {C}^{kd}\). In particular, explicit examples in \(\mathbb {C}^{2} \otimes \mathbb {C}^{4}\), \(\mathbb {C}^{2} \otimes \mathbb {C}^{8}\) and \(\mathbb {C}^{3} \otimes \mathbb {C}^{3}\) are presented. 相似文献
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For every unconditionally convergent series $\sum_{j=1}^{\infty}x_{j}$ in sequentially complete Abelian topological group, we show that the sum $\sum_{j=1}^{\infty}x_{\theta(j)}$ is same for all permutations θ:?→?. This result justify the measures defined on quantum structures. 相似文献
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