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Quantum versus Classical Network Structure and Function

Speaker: Jacob Biamonte National University of Singapore
Time: 2011-11-25 16:00-2011-11-25 17:00
Venue: FIT 1-222
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Abstract:

When stated in a particular way, the syntax of both quantum and classical networks is effectively equivalent. This syntactical unification, provides a means to explore the disjoint semantics between the case of classical and quantum networks. In this talk, we will explore the differences between classical networks built from logic gates, and quantum networks built from lifted quantum logic tensors [1,2,3,4].

 

[1] Categorical Tensor Network States, with Stephen R. Clark and Dieter Jaksch, accepted,

AIP Advances (2011). arXiv:1012.0531

 

[2] Categorical Quantum Circuits, with Ville Bergholm, In Journal of Physics A: Mathematical and Theoretical, Vol. 44, No. 17, pages 25304-25324, (2011). arXiv:1010.4840

 

[3] Algebraically Contractible Topological Tensor Network States, with S. J. Denny, D. Jaksch and S. R. Clark, accepted Journal of Physics A: Mathematical and Theoretical (2011). arXiv:1108.0888

 

[4] Youtube series, Lectures on Tensor Network States, QIC 890/891 Selected Advanced Topics in Quantum Information, The University of Waterloo, Waterloo Ontario, Canada, (2011).

http://www.qubit.org/iqc2011

Short Bio:
I work on Mathematical Physics with an emphasis on the physical theory of information and computation and towards a unified mathematical theory of networks. I completed my PhD at Oxford, have done post docs at Oxford and at Harvard.


I currently hold a joint appointment and split my time accordingly. Under the Exploratory Initiatives Scheme---which aims to foster new and relevant research directions---we have started the so called, Baez-Biamonte Network Theory Group (co-Principle Investigator with John Baez) at the Centre for Quantum Technologies (CQT) in Singapore. In addition, I hold a faculty position and am Principle Investigator at the Institute for Scientific Interchange (ISI Foundation) in Torino, Italy. At ISI I lead the research unit on quantum theory, which is now focused on the theory of quantum networks.

I strongly encourage people from IIIS to talk to me about potential overlap in interests as well as collaborative exchanges.