Abstract
Entanglement and nonlocality are both fundamental aspects of quantum theory, and play a prominent role in quantum information science. The exact relation between entanglement and nonlocality is, however, still poorly understood. Here we make progress in this direction by showing that, contrary to what previous work suggested, quantum nonlocality does not imply entanglement distillability. Specifically, we present analytically a 3-qubit entangled state that is separable along any bipartition. This implies that no bipartite entanglement can be distilled from this state, which is thus fully bound entangled. Then we show that this state nevertheless violates a Bell inequality. Our result also disproves the multipartite version of a long-standing conjecture made by Peres.
- Received 14 November 2011
DOI:https://doi.org/10.1103/PhysRevLett.108.030403
© 2012 American Physical Society
Synopsis
Neither Here Nor There
Published 19 January 2012
States consisting of three qubits provide a way of understanding how quantum entanglement relates to nonlocality.
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