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arXiv 1306.6450math-phmath.MP
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关于非耗散和耗散量子比特流形

On non-dissipative and dissipative qubit manifolds

H. C. Peñate-Rodríguez, P. Bargueño, G. Rojas-Lorenzo, S. Miret-Artés

摘要:

当使用作用角变量时,在非耗散和耗散形式主义中,两个球体上的量子比特动力学的轨迹被证明是某些黎曼流形或物理健全的洛伦兹流形的测地线。这些流形(量子位流形)的几何和拓扑的几个方面已经研究了一些特殊的物理情况。

英文摘要:

The trajectories of a qubit dynamics over the two-sphere are shown to be geodesics of certain Riemannian or physically-sound Lorentzian manifolds, both in the non-dissipative and dissipative formalisms, when using action-angle variables. Several aspects of the geometry and topology of these manifolds (qubit manifolds) have been studied for some special physical cases.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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