Qubit Systems from Colored Toric Geometry and Hypercube Graph Theory

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2017,（9）
• 页码范围: 285-289
• 页数: 5页
• 语种: 英文
• DOI: 10.1088/0253-6102/68/3/285

摘要

We develop a new geometric approach to deal with qubit information systems using colored graph theory.More precisely,we present a one to one correspondence between graph theory,and qubit systems,which may be explored to attack qubit information problems using toric geometry considered as a powerful tool to understand modern physics including string theory.Concretely,we examine in some details the cases of one,two,and three qubits,and we find that they are associated with CP1,CP1× CP1 and Cp1× CP1× CP1 toric varieties respectively.Using a geometric procedure referred to as a colored toric geometry,we show that the qubit physics can be converted into a scenario handling toric data of such manifolds by help of hypercube graph theory.Operations on toric information can produce universal quantum gates.