Quantum LOSR networks cannot generate graph states with high fidelity

• URL: http://arxiv.org/abs/2208.12100v2
• Date: Sat, 23 Mar 2024 14:27:57 GMT
• Title: Quantum LOSR networks cannot generate graph states with high fidelity
• Authors: Yi-Xuan Wang, Zhen-Peng Xu, Otfried Gühne,
• Abstract summary: We prove that all multi-qubit graph states arising from a connected graph cannot originate from any quantum network with bipartite sources. The fidelity of a multi-qubit graph state and any network state cannot exceed $9/10$.
• Score: 6.720135092777862
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum networks lead to novel notions of locality and correlations and an important problem concerns the question of which quantum states can be experimentally prepared with a given network structure and devices and which not. We prove that all multi-qubit graph states arising from a connected graph cannot originate from any quantum network with bipartite sources, as long as feed-forward and quantum memories are not available. Moreover, the fidelity of a multi-qubit graph state and any network state cannot exceed $9/10$. Similar results can also be established for a large class of multi-qudit graph states.

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