Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA.
Department of Electrical and Computer Engineering, Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA.
Phys Rev Lett. 2023 Jun 16;130(24):240802. doi: 10.1103/PhysRevLett.130.240802.
We adopt a resource-theoretic framework to classify different types of quantum network nonlocality in terms of operational constraints placed on the network. One type of constraint limits the parties to perform local Clifford gates on pure stabilizer states, and we show that quantum network nonlocality cannot emerge in this setting. Yet, if the constraint is relaxed to allow for mixed stabilizer states, then network nonlocality can indeed be obtained. We additionally show that bipartite entanglement is sufficient for generating all forms of quantum network nonlocality when allowing for postselection, a property analogous to the universality of bipartite entanglement for generating all forms of multipartite entangled states.
我们采用资源理论框架，根据对网络施加的操作约束来对不同类型的量子网络非局域性进行分类。有一种约束限制各方只能对纯稳定子态执行局部 Clifford 门，我们证明在这种情况下量子网络非局域性不会出现。然而，如果放宽约束允许混合稳定子态，那么确实可以获得网络非局域性。我们还表明，在允许后选择的情况下，当允许后选择时，双体纠缠足以产生所有形式的量子网络非局域性，这类似于双体纠缠对于产生所有形式的多体纠缠态的普遍性。
