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Titlebook: Geometric Aspects of Functional Analysis; Israel Seminar (GAFA Joram Lindenstrauss,Vitali D. Milman Conference proceedings 1991 Springer-Ve

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Quasi-classical expansions and the problem of quantum chaos,perator on a two-dimensional revolution surface. We prove that the quasi-classical quantization rules give a correct asymptotic expansion for large .. and show that for the problem of quantum chaos two first terms of the quasi-classical expansion are essential. We specify a little bit the geometric
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Exploring We’ve seen that the space of unitary operators is gigantic. Now I want to discuss how to move through it. I’ve already hinted that we don’t make big complexity jumps, but instead move in little steps called gates. A sequence of gates is called a circuit although it has nothing to do with periodicity. It’s just a name.
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Volume of Let’s make a more refined calculation of the number of operators in . by dividing its volume by the volume of an epsilon ball of the same dimensionality (the dimension of . is .).
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