We have a special group meeting Thursday 21, 4 PM at Naito 030 by a visitor
of our group, Matthew Broome, from the School of Mathematics and Physics of
the University of Queensland.
The abstract is here:
*The quantum walk, the quantum version of its classical counterpart the
random walk, has received a lot of attention in the past few years both
inside and outside of the laboratory. The quantum walk has been proposed as
a valuable tool for quantum computation in addition to investigating
phenomenon such as Anderson localisation and even energy transport in
biological systems. I will give a description of our experimental
implementation for the discrete-time quantum walk with single photons in
space and show how we tuned the level of decoherence in the system from
completely quantum right through to the classical random walk. I will also
show the most recent application of the experiment: investigating
topological phases with discrete time quantum walks. *
--
Joel Yuen-Zhou
PhD candidate in Chemical Physics
Harvard University CCB,
12 Oxford St. Mailbox 107,
Cambridge, MA, USA.
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We have a special group meeting Thursday December 9, 2010 by a visitor to
our group, Jacob D. Biamonte, from the Oxford University Computing
Laboratory. The location is TBA.
The abstract is here:
*I plan to present results from a study in the use of the mathematics of
category theory in the description of quantum states by tensor networks.
This approach enables the development of a categorical framework allowing a
solution to the quantum decomposition problem. Specifically, given an n-body
quantum state S, we found a general method to factor S into a tensor
network. Moreover, this decomposition of S uses building blocks defined
mathematically in terms of purely diagrammatic laws. We used the solution to
expose a previously unknown and large class of quantum states which we prove
to be sampled efficiently and exactly. This general framework of categorical
tensor network states, where a combination of generic and algebraically
defined tensors appear, enhances the theory of tensor network states.
Part's of my talk will represent joint work with Stephen R. Clark (CQT,
Kebble College, Oxford) and Dieter Jaksch (Oxford, Kebble College, CQT). *