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arXiv quant-ph/02011322002-01-30quant-ph

量子傅里叶变换的实现及固定相互作用下波函数的模拟

Implementation of Quantum Fourier Transform and Simulation of Wave Functions by Fixed Interaction

Yuri Ozhigov

备注：: 11 pages, Latex
发表信息：: Pis'ma v ZhETF, 2002, vol. 76, iss. 10, pp. 746-751

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摘要：

我们研究了量子比特之间具有固定和永久对角型相互作用的量子计算机。它仅由一个量子比特的快速变换控制。它显示了如何实现量子傅里叶变换和解决薛定谔方程的线性和二次势的量子计算机的这种类型。该方法适用于量子位之间的对角形式的广泛的相互作用，以及不同的量子位对以不同方式相互作用的情况。

英文摘要：

We study a quantum computer with fixed and permanent interaction of diagonal type between qubits. It is controlled only by one-qubit quick transformations. It is shown how to implement Quantum Fourier Transform and to solve Shroedinger equations with linear and quadratic potentials by a quantum computer of such type. The method is adaptable to the wide range of interactions of diagonal form between qubits and to the case when different pairs of qubits interact variously.

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