Semiclassical trajectory sums yield diagrammatic perturbative expressions for moments of transmission and time-delay matrices in chaotic quantum transport that agree with random matrix theory and incorporate additional physical effects through matrix integrals.
Mehta,Random Matrices, Academic Press, 3 ed
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Quantum chaotic dynamics with positive entropy production universally links to von Neumann entropy and noise modeling in quantum information processing.
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Semiclassical theory of transport
Semiclassical trajectory sums yield diagrammatic perturbative expressions for moments of transmission and time-delay matrices in chaotic quantum transport that agree with random matrix theory and incorporate additional physical effects through matrix integrals.
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Quantum Chaos and Quantum Information: Interactions and Implications
Quantum chaotic dynamics with positive entropy production universally links to von Neumann entropy and noise modeling in quantum information processing.