An upper bound on the time required to implement unitary operations
An upper bound on the time required to implement unitary operations
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DOI：
10.1088/1751-8121/ab7498
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发表时间：
2019-05
期刊：
影响因子：
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通讯作者：
Juneseo Lee;C. Arenz;D. Burgarth;H. Rabitz
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文献类型：
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作者：
Juneseo Lee;C. Arenz;D. Burgarth;H. Rabitz
我们推导出一个上限的时间需要实现一个通用的幺正变换在一个d维量子系统使用d控制字段。我们表明，给定的能力来控制的对角元素的哈密顿量，这允许实施任何幺正变换的前提下的可控性，所需的时间T是上界的，其中是最小的耦合常数存在于系统中。我们研究的紧密性的约束，通过数值研究随机生成的系统，与特定的重点是一个系统组成的d能级，相互作用的紧约束的方式。
We derive an upper bound for the time needed to implement a generic unitary transformation in a d dimensional quantum system using d control fields. We show that given the ability to control the diagonal elements of the Hamiltonian, which allows for implementing any unitary transformation under the premise of controllability, the time T needed is upper bounded by where is the smallest coupling constant present in the system. We study the tightness of the bound by numerically investigating randomly generated systems, with specific focus on a system consisting of d energy levels that interact in a tight-binding like manner.