The paper studies unambiguous discrimination of fermionic states through local operations and classical communication (LOCC). In the task of unambiguous discrimination, no error is tolerated but an inconclusive result is allowed. We show that contrary to the quantum case, it is not always possible to distinguish two fermionic states through LOCC unambiguously with the same success probability as if global measurements were allowed. Furthermore, we prove that we can overcome such a limit through an ancillary system made of two fermionic modes, independently of the dimension of the system, prepared in a maximally entangled state: in this case, LOCC protocols achieve the optimal success probability.

中文翻译：

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通过本地操作和经典通信对铁离子态的明确区分

本文研究了通过本地操作和经典通信（LOCC）对铁离子状态的明确区分。在明确区分的任务中，不会容忍任何错误，但可以得出不确定的结果。我们表明，与量子情况相反，并非总有可能通过LOCC以相同的成功概率通过LOCC来区分两个费米子态，就好像允许进行全局测量一样。此外，我们证明了可以通过以最大纠缠状态制备的，由两个铁氧体模式组成的辅助系统克服这种限制，而与系统的尺寸无关，该系统处于最大纠缠状态：在这种情况下，LOCC协议可实现最佳成功概率。