Activation of Non-Local Quantum Resources
arXiv:1010.5191 · doi:10.1103/PhysRevLett.106.060403
Abstract
We find two two-qubit states such that any number of copies of one state or the other cannot violate the CHSH Bell inequality. However, their tensor product can produce a CHSH violation of at least 2.023. We also identify a CHSH-local state such that two copies of it are CHSH-violating. The tools employed here can be easily adapted to find instances of non-locality activation in arbitrary Bell scenarios.
References in corpus (7)
- Device-independent security of quantum cryptography against collective attacks
- A complete family of separability criteria
- Grothendieck's constant and local models for noisy entangled quantum states
- Maximal violation of the I3322 inequality using infinite dimensional quantum systems
- All bipartite entangled states display some hidden nonlocality
- Noise robustness of the nonlocality of entangled quantum states
- Better Bell Inequality Violation by Collective Measurements
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