Quantum systems with finite Hilbert space 论文

2004Reports on Progress in Physics引用 317
Quantum Mechanics and ApplicationsQuantum Information and CryptographyQuantum Computing Algorithms and Architecture

详细信息

发表期刊/会议
Reports on Progress in Physics
发表日期
2004-02-02
发表年份
2004

关键词

Quantum Mechanics and ApplicationsQuantum Information and CryptographyQuantum Computing Algorithms and Architecture

摘要

Quantum systems with finite Hilbert space are considered, and phase-space methods like the Heisenberg–Weyl group, symplectic transformations and Wigner and Weyl functions are discussed. A factorization of such systems in terms of smaller subsystems, based on the Chinese remainder theorem, is studied. The general formalism is applied to the case of angular momentum. In this context, SU(2) coherent states are used for analytic representations. Links between the theory of finite quantum systems and other fields of research are discussed.

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