论文标题
基于复杂Clifford代数的量子计算
Quantum computing based on complex Clifford algebras
论文作者
论文摘要
我们建议代表$ n $ - Qubits和量子门在它们上作用在复杂的Clifford代数中的元素上，该元素在尺寸为$ 2N的复杂矢量空间上定义。我们通过使用几个众所周知的量子门实例进行量子计算来证明其功能。我们还将我们的方法与使用实际几何代数的表示形式进行了比较。
We propose to represent both $n$--qubits and quantum gates acting on them as elements in the complex Clifford algebra defined on a complex vector space of dimension $2n.$ In this framework, the Dirac formalism can be realized in straightforward way. We demonstrate its functionality by performing quantum computations with several well known examples of quantum gates. We also compare our approach with representations that use real geometric algebras.
