几何代数、量子比特、几何进化等等
Geometric algebra, qubits, geometric evolution, and all that
摘要：
早期的方法用于描述量子比特和几何相位参数，这是拓扑量子计算领域的关键。所使用的工具，几何（Clifford）代数是最方便的形式主义的情况下。将形式复平面推广到三维任意平面，将通常的Hopf纤维化推广到三维几何代数偶子代数的任意单位值元所生成的映射，与量子力学的Hilbert空间形式相比，可以对量子比特进行更深刻的描述。
英文摘要：
The earlier approach is used for description of qubits and geometric phase parameters, the things critical in the area of topological quantum computing. The used tool, Geometric (Clifford) Algebra is the most convenient formalism for that case. Generalization of formal complex plane to an an arbitrary plane in three dimensions and of usual Hopf fibration to the map generated by an arbitrary unit value element of even sub-algebra of the three-dimensional Geometric Algebra are resulting in more profound description of qubits compared to quantum mechanical Hilbert space formalism.
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。
