论文标题

克利福德代数,代数纺纱器,量子信息和应用

Clifford algebras, algebraic spinors, quantum information and applications

论文作者

Trindade, Marco A. S., Floquet, Sergio, Vianna, J. David M.

论文摘要

我们为量子信息提供基于Clifford代数和代数旋转器的代数配方。在这种情况下,逻辑门和概念(例如手性,电荷共轭,平价和时间逆转)被引入和探索与Qubits状态有关的。我们的形式主义也分析了超对称性和M骨肌。具体来说,我们广泛使用代数$ cl_ {3,0} $和$ cl_ {1,3} $以及Clifford代数的张量产品。

We give an algebraic formulation based on Clifford algebras and algebraic spinors for quantum information. In this context, logic gates and concepts such as chirality, charge conjugation, parity and time reversal are introduced and explored in connection with states of qubits. Supersymmetry and M-superalgebra are also analysed with our formalism. Specifically we use extensively the algebras $Cl_{3,0}$ and $Cl_{1,3}$ as well as tensor products of Clifford algebras.

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