学术进展
Detectors for local discrimination of sets of generalized Bell states
作者：
时间： 2025-04-04
阅读：
论文作者：
| Cai-Hong Wang, Jiang-Tao Yuan, Ying-Hui Yang, Mao-Sheng Li, Shao-Ming Fei, Zhi-Hao Ma |
论文题目：
| Detectors for local discrimination of sets of generalized Bell states |
发表期刊：
Phys. Rev. A
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摘要：
| A fundamental problem in quantum information processing is the discrimination among a set of orthogonal quantum states of a composite system under local operations and classical communication (LOCC). Corresponding to the LOCC indistinguishable sets of four ququad-ququad orthogonal maximally entangled states constructed by Yu et al. [Phys. Rev. Lett. 109, 020506 (2012)], the maximum commutative sets were introduced as detectors for the local distinguishability of the set of generalized Bell states (GBSs) for which the detectors are sufficient to determine the LOCC distinguishability. In this work, we show how to determine all the detectors for a given GBS set. We also construct several four-GBS sets without detectors, most of which are one-way LOCC indistinguishable and only one of which is one-way LOCC distinguishable, indicating that the detectors are not necessary for LOCC distinguishability. Furthermore, we show that for four-GBS sets in the quantum system C6 ⊗ C6, the detectors are almost necessary for one-way LOCC distinguishability, except for one set in the sense of local unitary equivalence. The problem of one-way LOCC discrimination of four-GBS sets in C6 ⊗ C6 is completely resolved.
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