Maximally entangled bipartite unitary operators or gates find various applications from quantum information to many-body physics wherein they are building blocks of minimal models of quantum chaos. In the latter case, they are referred to as “dual unitaries.” Dual unitary operators that can create the maximum average entanglement when acting on product states have to satisfy additional constraints. These have been called “2-unitaries” and are examples of perfect tensors that can be used to construct absolutely maximally entangled states of four parties. Hitherto, no systematic method exists in any local dimension, which results in the formation of such special classes of unitary operators. We outline an iterative protocol, a nonlinear map on the space of unitary operators, that creates ensembles whose members are arbitrarily close to being dual unitaries. For qutrits and ququads we find that a slightly modified protocol yields a plethora of 2-unitaries.

中文翻译：

---

创建双重Unit和最大纠缠量子演化的合奏。

最大纠缠的二元unit算子或门发现了从量子信息到多体物理学的各种应用，其中，它们是最小化量子混沌模型的组成部分。在后一种情况下，它们被称为“双重unit元”。在对产品状态进行操作时可以创建最大平均纠缠的双unit算子必须满足其他约束。这些被称为“ 2 aries”，是可以用来构造四方绝对最大纠缠状态的完美张量的示例。迄今为止，在任何局部维度上都不存在系统的方法，这导致形成这类特殊的of算子。我们概述了一个迭代协议，一个关于operators算子空间的非线性映射，产生合奏，其成员任意接近于双重unit。对于qutrits和quaquads，我们发现略加修改的协议会产生大量2 unit。