Hyperspheres and control of spin chains

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Here is considered application of Spin(m) groups in theory of quantum control of chain with spin-1/2 systems. It may be also compared with m-dimensional analogues of Bloch sphere, but has nontrivial distinctions for chain with more than one spin system.
Comment: LaTeX 3 pages 2 col, a paper of 06.12.2004 + note 12.06.2005

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