Computational Power of Correlations
Abstract
We study the intrinsic computational power of correlations exploited in measurement-based quantum computation. By defining a general framework, the meaning of the computational power of correlations is made precise. This leads to a notion of resource states for measurement-based classical computation. Surprisingly, the Greenberger-Horne-Zeilinger and Clauser-Horne-Shimony-Holt problems emerge as optimal examples. Our work exposes an intriguing relationship between the violation of local realistic models and the computational power of entangled resource states.
- Publication:
-
Physical Review Letters
- Pub Date:
- February 2009
- DOI:
- 10.1103/PhysRevLett.102.050502
- arXiv:
- arXiv:0805.1002
- Bibcode:
- 2009PhRvL.102e0502A
- Keywords:
-
- 03.67.Lx;
- 03.65.Ud;
- 89.70.Eg;
- Quantum computation;
- Entanglement and quantum nonlocality;
- Computational complexity;
- Quantum Physics
- E-Print:
- 4 pages, 2 figures, 2 tables, v2: introduction revised and title changed to highlight generality of established framework and results, v3: published version with additional table II