Device-independent state estimation based on Bell's inequalities
- Centre for Quantum Technologies, National University of Singapore, Singapore 117543 (Singapore)
- Laboratoire d'Information Quantique, CP 225, Universite Libre de Bruxelles, Avenue F. D. Roosevelt 50, B-1050 Brussells (Belgium)
- Institute for Quantum Computing and Department of Combinatorics and Optimization, University of Waterloo, 200 University Avenue West, Waterloo, Ontario, N2L 3G1 (Canada)
The only information available about an alleged source of entangled quantum states is the amount S by which the Clauser-Horne-Shimony-Holt inequality is violated: nothing is known about the nature of the system or the measurements that are performed. We discuss how the quality of the source can be assessed in this black-box scenario, as compared to an ideal source that would produce maximally entangled states (more precisely, any state for which S=2sq root(2)). To this end, we present several inequivalent notions of fidelity, each one related to the use one can make of the source after having assessed it, and we derive quantitative bounds for each of them in terms of the violation S. We also derive a lower bound on the entanglement of the source as a function of S only.
- OSTI ID:
- 21352327
- Journal Information:
- Physical Review. A, Vol. 80, Issue 6; Other Information: DOI: 10.1103/PhysRevA.80.062327; (c) 2009 The American Physical Society; ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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