论文标题
基于代数旋转器的一般公式用于量子计算
A general formulation based on algebraic spinors for the quantum computation
论文作者
论文摘要
在这项工作中，我们探讨了克利福德代数的结构以及量子信息理论中代数纺纱器的表示。最初，我们通过Clifford代数$ cl^{+} _ {1,3} $的张量产品中的左最小理想元素呈现一般公式。在后方，我们在量子计算中执行一些应用：Qubits，纠缠状态，量子门，编织组的表示，量子传送，Majorajorana oberators和supersymmetry。最后，我们讨论与标准希尔伯特空间配方有关的优势。
In this work we explore the structure of Clifford algebras and the representations of the algebraic spinors in quantum information theory. Initially we present an general formulation through elements of left minimal ideals in tensor products of the Clifford algebra $Cl^{+}_{1,3}$. Posteriorly we perform some applications in quantum computation: qubits, entangled states, quantum gates, representations of the braid group, quantum teleportation, Majorana operators and supersymmetry. Finally, we discuss advantages related to standard Hilbert space formulation.
