A theoretical model of computation is proposed based on Lorentz quantum mechanics. Besides the standard qubits, this model has an additional bit, which we call hyperbolic bit (or hybit in short). A set of basic logical gates are constructed and their universality is proved rigorously. As an application, a search algorithm is designed for this computer model and is found to be exponentially faster than the Grover's search algorithm. Physical implementation of this computation model is discussed.
翻译:根据Lorentz量子力学提出了理论计算模型。除了标准的qubits外,这个模型还有另外一点,我们称之为双曲位(或短略的hybit ) 。 一组基本的逻辑门已经建成,其普遍性得到了严格的证明。 作为应用,为这个计算机模型设计了一个搜索算法,并被发现比Grover的搜索算法指数更快。 讨论了这个计算模型的实际应用。