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Dr Jiannis K. Pachos Reader in Theoretical Physics University of Leeds |
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News:
1. Symposium
on Topological Quantum Information, Athens, 15 May 2013 (contact Jiannis K.
Pachos)
2. Centre for Topological Quantum Information
PhD and Postdoc positions
available for September 2013
3. Book:
Introduction to Topological Quantum Computation,
Jiannis K. Pachos, Cambridge
University Press
All royalties go to: Leeds Children
Charity
Topological
Quantum Information Group (part of QI group)
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Group members: Jiannis K. Pachos (Reader and
Director of the Centre for Topological Quantum Information) CV Dr Giandomenico Palumbo (Postdoc) Abbas Al Shimary (PhD) James De Lisle (PhD) Alex Bullivant (MSc) Previous PhD students: Ville Lahtinen (Nordita) James Wootton (Basel) Alastair Kay (Oxford, Singapore) |
Group visitors: Prof Zhenghan Wang (Microsoft Station Q) July 2013 Prof
Gavin Brennen (Macquire University, Sydney) July 2013 Mauro
Cirio (Sydney) April 2013 to July 2013 Federica
Panarotto (Verona) April 2013 to July 2013 Sir Michael Atiyah
(Edinburgh) Prof Michael Stone
(Urbana-Illinois) Prof Gavin Brennen (Sydney) Vaclav Zatloukal (Prague) Ben Brown (Imperial) |
Some open problems
Here are some open questions that
are of interest to me. You are welcome to get back to me with ideas or work on
them on your own. You are welcome suggest problems that you would like to see
on this list.
1. Consider the ground state of a
two-dimensional system that is stabilized by holonomies corresponding to
arbitrary loops on the plane. Which are the mathematical and physical
conditions necessary to show that this system is topologically ordered.
Selected publications
1. Abelian Chern-Simons-Maxwell theory from a tight
binding model of spinless fermions,
Giandomenico
Palumbo, Jiannis K. Pachos, to appear in PRL, arXiv:1301.2625.
2. Seeing
Majorana fermions in time-of-flight images of spinless fermions coupled by
s-wave pairing,
Jiannis
K. Pachos, Emilio Alba, Ville Lahtinen, Juan J. Garcia-Ripoll, arXiv:1209.5115.
3. Seeing topological order in time-of-flight
measurements,
E.
Alba, X. Fernandez-Gonzalvo, J. Mur-Petit, J. K. Pachos, J. J. Garcia-Ripoll,
Phys.
Rev. Lett. 107,
235301 (2011), arXiv:1105.2775.
Editors
suggestion, Free to read.
See accompanying Physics Viewpoint
4. Bringing order through disorder: Localization of
errors in topological quantum memories,
James R. Wootton, Jiannis K. Pachos,
Phys.
Rev. Lett. 107,
030503 (2011) , arXiv:1101.5900
5. Statistical dynamics of a non-Abelian anyonic quantum
walk,
L.
Lehman, V. Zatloukal, G. K. Brennen, J. K. Pachos and Z. Wang,
Phys.
Rev. Lett. 106,
230404 (2011), arXiv:1009.0813.
6. Cold atom simulation of interacting relativistic
quantum field theories,
J. I.
Cirac, P. Maraner, J. K. Pachos,
Phys.
Rev. Lett. 105,
190403 (2010), arXiv:1006.2975.
Events
1. Physics/Dance
performance: Break-in Point, took place on the 7th
of June 2012, 12:30 pm at Stage@Leeds
2. Book by Jiannis K.
Pachos Introduction to Topological Quantum Computation
3. New Journal of Physics, Focus Issue on Topological
Quantum Computation
Co-editors: Jiannis K.
Pachos and Steve H. Simon (Oxford). Open for submissions
Symposia on Topological
Quantum Information
These symposia take place every
few months and typically last for two days. Their purpose is to bring together
young scientists (mainly PhD students and postdocs) interested on topological
quantum information promote their recent work and inspire collaborations.
Typically, there are a couple of tutorials and some research talks. Anyone can
organize these symposia at their institute or university. Participants usually
pay for their own expenses. The Leeds Centre for Topological Quantum
Information provides some financial assistance. Please email me if you are
interested in organizing one.
Next symposium is organized by
Sofyan Iblisdir and it will take place in Benasque, Spain, in February 2012.
More information soon.
14th Symposium on Topological Quantum
Information, 13th-15th February 2013, Benasque, Spain.
13rd
Symposium on Topological Quantum Information, 21st to 22nd of September
2012, Oxford, UK.
12th
Symposium on Topological Quantum Information, 6th to 7th of February 2012,
Institute of Physics, Amsterdam, Netherlands.
11th
Symposium on Topological Quantum Information, 4th to 5th of June 2011, NORDITA, Stockholm, Sweden.
Royal Society Kavli Meeting on Topology and Physics, 14th to 17th of July 2010, Chicheley Hall, UK.
10th Symposium on
Topological Quantum Information, 11th to 12th of April 2010, Leeds,
UK.
9th Symposium on Topological
Quantum Information, 11th to 12th of January 2010, Sydney, Australia.
8th Symposium on
Topological Quantum Information, 29th to 31st of August 2009, Zurich, Switzerland.
7th Symposium on
Topological Quantum Information, 30th of March to 1st of April 2009, Paris,
France.
6th
Symposium on Topological Quantum Information, 15th to 17th of September
2008, Dublin, Ireland.
5th Symposium on
Topological Quantum Information, 12th to 13th of April 2008, Leeds, UK.
4th
Mini-Symposium on Topological Quantum Information, 10th to 11th of December
2007, Ringberg Castle, Germany.
3rd
Mini-Symposium on Topological Quantum Information, 29th to 30th of June
2007, IQOQI Innsbruck, Austria.
2nd Mini-Symposium
on Topological Quantum Information, 6th to 7th of January 2007, Maynooth,
Ireland.
1st Mini-Symposium on
Topological Quantum Information, 29th to 30th of August, 2006, Cambridge, UK.
Research interests
1. Topological Quantum Computation.
Here is
some useful material related to topological quantum computation:
Lectures
on Topological Quantum Computation by Jiannis K. Pachos at Steklov
Mathematical Institute, Moscow August 2012:
Recent talk at MIT on cold
atom simulations of quantum field theories
Recent talk at CALTECH & Station
Q on topological quantum memories
PhD thesis of Dr Ville Lahtinen.
PhD thesis of Dr James Wootton.
Introduction to
Topological Quantum Computation, by Jiannis K. Pachos.
Based on lectures given at QIP 2010, ETH, Zurich.
Review article Anyons, Quantum Double Symmetry and
Topological Quantum Computation, by Ville Lahtinen.
Notes on The Toric Code and the Quantum Double, by Ville
Lahtinen.
Kitaev talk on the Honeycomb lattice model (with audio and
webcam).
Pachos talk on The wave
function of an anyon (with audio and webcam).
Preskill's lecture notes
on Topological
Quantum Computation.
Manifestations
of topological effects in graphene, Jiannis K. Pachos, Contemporary Physics
50, 375-389
(2009)
2. Quantum information and
optical lattices
3. Quantum information for
many particle and condensed matter systems
4. Geometrical quantum
evolutions
Lecture Courses
Example Set 1, Example Set 2, Example Set 3
Solutions 1,
Solutions 2, Solutions 3
Lecture
notes: notes1, notes2, notes3, notes4
Exercises:
Set1, Set2, Set3, Set4, Set5, Set6, Set7, Set8, Set9, Set10, Set11
Solutions:
Set1, Set2, Set3, Set4, Set5, Set6, Set7, Set8, Set9, Set10, Set11
Assignments:
Set1, Set2, Set3
Solutions:
Set1, Set2, Set3
Contact Information
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Address |
Room 9.71 School of Physics and Astronomy |
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Telephone |
+44 113 343 3817 |
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Facsimile |
+44 113 343 3900 |
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Email |
j.k.pachos_at_leeds.ac.uk
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