四维时空中的量子比特和定向拟阵
Qubits and oriented matroids in four time and four space dimensions
摘要：
我们建立了一个4-rebits（真正的量子比特）和Nambu-Goto行动与目标的四维时间和四维空间（（4+4）维）的“时空”之间的联系。我们用三个观察来激励这个实验对象。第一个是4-rebit包含与复杂的3-qubit完全相同的自由度，因此4-rebit在除法代数的意义上是特殊的。其次，（4+4）维可以分裂为（4+4）=（3+1）+（1+3），因此它们与普通的（1+3）时空和改变的签名（3+1）时空相联系。最后，我们展示了如何几何方面的4-rebits可以与面向拟阵理论的手握位概念。
英文摘要：
We establish a connection between 4-rebits (real qubits) and the Nambu-Goto action with target `spacetime' of four time and four space dimensions ((4+4)-dimensions)). We motivate the subject with three observations. The first one is that a 4-rebit contains exactly the same number of degree of freedom as a complex 3-qubit and therefore 4-rebits are special in the sense of division algebras. Secondly, the (4+4)-dimensions can be splitted as (4+4)=(3+1)+(1+3) and therefore they are connected with an ordinary (1+3)-spacetime and with changed signature (3+1)-spacetime. Finally, we show how geometric aspects of 4-rebits can be related to the chirotope concept of oriented matroid theory.
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