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arXiv quant-ph/0402010quant-phcond-mat.othernlin.CD
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动态量子系统的量子计算与信息提取

Quantum computing and information extraction for a dynamical quantum system

Giuliano Benenti, Giulio Casati, Simone Montangero

摘要:

我们讨论在量子计算机上模拟一个复杂的动力学系统,即所谓的量子映射模型。我们证明了量子计算机可以用来有效地提取该模型的相关物理信息。利用该方法可以模拟经典混沌的动力学局域化,并以相对于任何已知的经典计算的二次加速来提取系统的局域化长度。我们还可以用代数加速计算布朗扩散和反常扩散的扩散系数和扩散指数。最后,我们表明,它是可能的提取量子运动的保真度,它测量系统的稳定性扰动下,指数加速。

英文摘要:

We discuss the simulation of a complex dynamical system, the so-called quantum sawtooth map model, on a quantum computer. We show that a quantum computer can be used to efficiently extract relevant physical information for this model. It is possible to simulate the dynamical localization of classical chaos and extract the localization length of the system with quadratic speed up with respect to any known classical computation. We can also compute with algebraic speed up the diffusion coefficient and the diffusion exponent both in the regimes of Brownian and anomalous diffusion. Finally, we show that it is possible to extract the fidelity of the quantum motion, which measures the stability of the system under perturbations, with exponential speed up.

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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