Computation from Correlation: Putting Bell inequality violation to work

Dan Browne, University College London (UK)
Event Date and Time: 
Mon, 2012-08-27 15:00 - 16:30
Hennings 309B
Local Contact: 
Robert Raussendorf
Intended Audience: 
The violation of Bell inequalities is perhaps the most striking example of the incompatibility of quantum physics and the classical world. Measurements on separated entangled quantum particles can be correlated in ways provably impossible if the measurements are described by any local hidden variable model. Quantum information aims to exploit the non-classical features of quantum mechanics for new technologies. The non-classicality of quantum correlations has been exploited for both quantum cryptography and quantum computation - most prominently in measurement-based quantum computation - an architecture for a quantum computer proposed by Hans Briegel (Univ. Innsbruck) and Robert Raussendorf (UBC) [1]. In measurement-based quantum computation, the computation proceeds as a set of single particle measurements on a lattice of particles prepared in a special entangled state. Remarkably, this model is equivalent in power to standard models of quantum computation such as networks of entangling quantum logic gates, even though, after the initial state preparation, particles do not interact. In my talk, I will give an overview of the Bell inequalites and an introduction to measurement-based quantum computation and describe recent research [2,3,4] which demonstrates a concrete connection between these two. I will show that Bell inequality experiments have a natural interpretation as “measurement-based computations” which clearly and concise captures the limitations on correlations in local hidden variable theories, and describe new insights on Bell inequalities which arise from this. [1] R. Raussendorf and H. J. Briegel (2001). A One-Way Quantum Computer, Phys. Rev. Lett. 86 5188 (2001) [2] J. Anders and D.E. Browne,Computational power of correlations, Phys. Rev. Lett. 102, 050502 (2009). [3] R. Raussendorf, Quantum computation, discreteness, and contextuality, arXiv:0907.5449 [4] M.J. Hoban and D.E. Browne, Stronger Quantum Correlations with Loophole-free Post-selection, Phys. Rev. Lett. 107, 120402 (2011)
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