Measurement-induced nonlocality based on the relative entropy
arXiv:1112.0736 · doi:10.1103/PhysRevA.85.042325
Abstract
We quantify the measurement-induced nonlocality [Luo and Fu, Phys. Rev. Lett. 106, 120401 (2011)] from the perspective of the relative entropy. This quantification leads to an operational interpretation for the measurementinduced nonlocality, namely, it is the maximal entropy increase after the locally invariant measurements. The relative entropy of nonlocality is upper bounded by the entropy of the measured subsystem. We establish a relationship between the relative entropy of nonlocality and the geometric nonlocality based on the Hilbert- Schmidt norm, and show that it is equal to the maximal distillable entanglement. Several trade-off relations are obtained for tripartite pure states. We also give explicit expressions for the relative entropy of nonlocality for Bell-diagonal states.
5 pages, 1 figures, version accepted Phys. Rev. A, PHYSICAL REVIEW A 85, 042325 (2012)
References in corpus (7)
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Necessary and sufficient condition for non-zero quantum discord
- Conjectured Strong Complementary Information Tradeoff
- Linking Quantum Discord to Entanglement in a Measurement
- All non-classical correlations can be activated into distillable entanglement
- Quantifying multipartite nonlocality
- Unification of different views of decoherence and discord
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