Two important results of quantum physics are the no-cloning theorem and the monogamy of entanglement. The former forbids the creation of an independent and identical copy of an arbitrary unknown quantum state and the latter restricts the shareability of quantum entanglement among multiple quantum systems. For distinguishable particles, one of these results implies the other. In this Letter, we show that in qubit systems with indistinguishable particles (where each particle cannot be addressed individually) a maximum violation of the monogamy of entanglement is possible by the measures that are monogamous for distinguishable particles. To derive this result, we formulate the degree of freedom trace-out rule for indistinguishable particles corresponding to a spatial location where each degree of freedom might be entangled with the other degrees of freedom. Our result removes the restriction on the shareability of quantum entanglement for indistinguishable particles, without contradicting the no-cloning theorem.

中文翻译：

---

通过对可区分粒子采取一夫一妻制的措施，最大程度地违反了不可区分粒子纠缠的一夫一妻制

量子物理学的两个重要成果是不可克隆定理和纠缠的一夫一妻制. 前者禁止创建任意未知量子态的独立且相同的副本，后者限制多个量子系统之间量子纠缠的共享性。对于可区分的粒子，这些结果之一意味着另一个。在这封信中，我们展示了在具有不可区分粒子（其中每个粒子不能单独处理）的量子位系统中，通过对可区分粒子一夫一妻制的措施，最大程度地违反纠缠的一夫一妻制是可能的。为了得出这个结果，我们为无法区分的粒子制定了自由度追踪规则，该规则对应于每个自由度可能与其他自由度纠缠的空间位置。