Quantum technologies exploiting bipartite entanglement could be made more efficient by using states having the minimum amount of energy for a given entanglement degree. Here, we study how to generate these states in the case of a bipartite system of arbitrary finite dimension either by applying a unitary transformation to its ground state or through a zero-temperature thermalization protocol based on turning on and off a suitable interaction term between the subsystems. In particular, we explicitly identify three possible unitary operators and five possible interaction terms. On one hand, two of the three unitary transformations turn out to be easily decomposable in terms of local elementary operations and a single nonlocal one, making their implementation easier. On the other hand, since the thermalization procedures can be easily adapted to generate many different states, we numerically show that, for each degree of entanglement, generating minimum-energy entangled states costs, in general, less than generating the vast majority of the other states.

中文翻译：

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最小能量纠缠态的产生

通过使用具有给定纠缠度的最小能量的状态，可以使利用二分纠缠的量子技术更有效。在这里，我们研究如何在任意有限维的二分系统的情况下生成这些状态，方法是通过对其基态应用幺正变换或通过基于打开和关闭适当相互作用项的零温度热化协议子系统。特别是，我们明确地确定了三个可能的幺正运算符和五个可能的交互项。一方面，三个酉变换中的两个在局部基本运算方面很容易分解，而一个非局部变换则很容易分解，这使得它们的实现更容易。另一方面，