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arXiv quant-ph/0305140quant-ph
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厄米矩阵对角化的量子方法

The quantum way to diagonalize hermitean matrices

Stefan Weigert

摘要:

最近提出了一种将厄米矩阵对角化的完全量子力学方法。在这里,真正的量子力学方法被认为是详细的(2x2)矩阵。该方法是基于量子力学可观测量提供的计算资源。简而言之,量子力学能够直接寻址和输出厄米矩阵的本征值。简单的低维情况下,允许一个说明的概念特征的一般方法,适用于(N × N)厄米矩阵。

英文摘要:

An entirely quantum mechanical approach to diagonalize hermitean matrices has been presented recently. Here, the genuinely quantum mechanical approach is considered in detail for (2x2) matrices. The method is based on the measurement of quantum mechanical observables which provides the computational resource. In brief, quantum mechanics is able to directly address and output eigenvalues of hermitean matrices. The simple low-dimensional case allows one to illustrate the conceptual features of the general method which applies to (NxN) hermitean matrices.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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