论文标题

哈密​​顿的可转换性,快速绝热动态和隐藏的绝热性

Hamiltonian Transformability, Fast Adiabatic Dynamics and Hidden Adiabaticity

论文作者

Wu, Lian-Ao, Segal, Dvira

论文摘要

我们证明了一个统一转型的存在,该转型使两个任意地给予同一希尔伯特空间中的哈密顿人的人可以彼此转变。例如,结果是直接的,例如,它奠定了基础,以实施或模仿最可控的汉密尔顿人。作为一种有前途的应用,这种存在定理允许通过将动力学在绝热状态中的动力学转换为迅速发展的哈密顿量来快速发展绝热量子计算。我们用示例说明了定理。

We prove the existence of a unitary transformation that enables two arbitrarily given Hamiltonians in the same Hilbert space to be transformed into one another. The result is straightforward yet, for example, it lays the foundation to implementing or mimicking dynamics with the most controllable Hamiltonian. As a promising application, this existence theorem allows for a rapidly evolving realization of adiabatic quantum computation by transforming a Hamiltonian where dynamics is in the adiabatic regime into a rapidly evolving one. We illustrate the theorem with examples.

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