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arXiv quant-ph/0204149quant-ph
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相空间中的量子计算机

Quantum computers in phase space

Cesar Miquel, Juan Pablo Paz, Marcos Saraceno

摘要:

我们表示的状态和量子计算机的演化在相空间中使用离散的维格纳函数。我们研究量子算法的相空间表示的性质:除了分析重要的例子,如傅立叶变换和格罗弗的搜索,我们研究的条件存在的量子和经典演化之间的直接对应的相空间。最后,我们描述了如何直接测量的维格纳函数在一个给定的相空间点通过层析方法,本身,可以被解释为一个简单的量子算法。

英文摘要:

We represent both the states and the evolution of a quantum computer in phase space using the discrete Wigner function. We study properties of the phase space representation of quantum algorithms: apart from analyzing important examples, such as the Fourier Transform and Grover's search, we examine the conditions for the existence of a direct correspondence between quantum and classical evolutions in phase space. Finally, we describe how to directly measure the Wigner function in a given phase space point by means of a tomographic method that, itself, can be interpreted as a simple quantum algorithm.

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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