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 universal 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 faster than the Grover's search algorithm for the standard quantum computer. 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,我们称之为双曲比特(或短略的hybit ) 。 一组通用门已经建成,其普遍性得到了严格的证明。 作为应用,为这一计算机模型设计了一个搜索算法,并被认为比Grover对标准量子计算机的搜索算法更快。 讨论了该计算模型的实际应用。