Hopf Algebras in Kitaev's Quantum Double Models: Mathematical Connections from Gauge Theory to Topological Quantum Computing and Categorical Quantum Mechanics

Conference Date: 
Monday, July 31, 2017 (All day) to Friday, August 4, 2017 (All day)
Scientific Areas: 
Condensed Matter
Mathematical Physics
Quantum Foundations
Quantum Gravity
Quantum Information

 

The Kitaev quantum double models are a family of topologically ordered spin models originally proposed to exploit the novel condensed matter phenomenology of topological phases for fault-tolerant quantum computation. Their physics is inherited from topological quantum field theories, while their underlying mathematical structure is based on a class of Hopf algebras. This structure is also seen across diverse fields of physics, and so allows connections to be made between the Kitaev models and topics as varied as quantum gauge theory and modified strong complementarity. This workshop will explore this shared mathematical structure and in so doing develop the connections between the fields of mathematical physics, quantum gravity, quantum information, condensed matter and quantum foundations.

To register for this event, please click here.  Registration will remain open until June 30th or until all available slots are filled.

Perimeter Institute has launched a new program whereby child care support may be available to facilitate your participation in workshops and conferences.  Please visit http://www.perimeterinstitute.ca/research/conferences/child-care-support-conference-participants for more information.

  • Liang Chang, Chern Institute of Mathematics
  • Bianca Dittrich, Perimeter Institute
  • Ross Duncan, University of Strathclyde
  • Jason Erbele,  Victor Valley College
  • Tobias Fritz, Max Planck Institute for Mathematics in the Sciences
  • Jurgen Fuchs, Karlstad University
  • Cesar Galindo, Universidad de los Andes
  • Robert Koenig, Technical University of Munich
  • Catherine Meusburger, Friedrich-Alexander Universitaet
  • Michael Mueger, Radboud University Nijmegen
  • Burak Sahinoglu, California Institute of Technology
  • Joost Slingerland, National University of Ireland
  • Pawel Sobocinski, University of Southampton
  • Jamie Vicary, University of Oxford
  • Derek Wise, University of Erlangen-Nuremberg
 
  • Courtney Brell, Perimeter Institute
  • Liang Chang, Chern Institute of Mathematics
  • Aaron Conlon, Maynooth University
  • Bianca Dittrich, Perimeter Institute
  • Ross Duncan, University of Strathclyde
  • Jason Erbele,  Victor Valley College
  • Tobias Fritz, Max Planck Institute for Mathematics in the Sciences
  • Jurgen Fuchs, Karlstad University
  • Cesar Galindo, Universidad de los Andes
  • Daniel Gottesman, Perimeter Institute
  • Robert Koenig, Technical University of Munich
  • Catherine Meusburger, Friedrich-Alexander Universitaet
  • Michael Mueger, Radboud University Nijmegen
  • Domenico Pellegrino, Maynooth University
  • Prince Osei, Perimeter Institute
  • Burak Sahinoglu, California Institute of Technology
  • Joost Slingerland, National University of Ireland
  • Pawel Sobocinski, University of Southampton
  • Jamie Vicary, University of Oxford
  • Derek Wise, University of Erlangen-Nuremberg
  • Lucy Zhang, University of Toronto

If you are an invited speaker to this event, Perimeter Institute staff will contact you to coordinate ground transportation arrangements on your behalf.

If you need transportation while attending the conference, we offer suggestions below. If flying, we suggest that you book your flight to arrive at Toronto International Airport (YYZ) or the Region of Waterloo International Airport (YKF).

Boulevard Limousine (estimated travel time 1hr) The fare for Boulevard Limousine for one passenger is $118.00 to the Toronto Airport.  The fare for one passenger from the Toronto Airport to Waterloo is $133.00.  To make reservations, please visit their website or call 519-886-8090.

Airways Transit (estimated travel time 1hr) Airways Transit connects Toronto (Pearson), Hamilton (Munro), and Region of Waterloo International Airports with the Kitchener-Waterloo area by providing 24 hour shared ride door-to-door service. To make reservations online please visit their webiste of contact them by phone 24 hours: 519-886-2121.

0001 Toronto Cabs (estimated travel time 1hr)  Approximately $160.00 rate for one-way: Toronto International Airport to Waterloo. Call 416-809-5656. 
Note: One or more passengers can split this $160.00 rate.

Car Rentals Upon arrival in any of the terminals at Pearson International Airport there are a number of car rental agencies to choose from. Their booths are located on the arrivals level. The cost of a car rental is dependent upon the type of vehicle you would like and the length of the stay. 

Driving Directions 

  • From the airport, follow signs for Highway 427 South/Highway 401.  
  • Continue to follow signs for Highway 401 West - London.  
  • Proceed West on Highway 401.  
  • Exit Highway 401 at Highway 8 West.  
  • Take exit 278 (Highway 8 West) and follow 8 West for 5 km to Highway 85, towards Highway 7 East. 
  • Proceed on Highway 85 for 5 km to Bridgeport Road exit. Turn right at the off-ramp, traveling west.  
  • Follow Bridgeport Road for 2 km into downtown Waterloo.  
  • Bridgeport is a four-lane one-way road. It becomes Caroline Street at Albert Street. Continue straight ahead.  
  • Travel forward another 200 metres, but ease over into the right-hand lane. As you go down a hill and around a curve, look for the green Perimeter Institute sign on the right hand side. The parking lot entrance is just after the sign (past the historic grist mill that sits on the edge of Silver Lake).  
  • Turn right into the PI parking lot entrance.

If you are an invited speaker to this event, Perimeter Institute staff will contact you to coordinate hotel accommodations on your behalf.

If you need accommodations while attending the conference, we offer suggestions for lodging below.  When booking your reservation, please indicate that you will be attending a conference at Perimeter in order to receive the best possible rate.

Delta Waterloo 110 Erb Street West Waterloo, ON N2L 0C6
Phone: 1-888-890-3222
Distance from PI: 450 m

Waterloo Hotel 2 King Street North Waterloo, ON N2J 2W7
Phone: 519-885-2626
Distance from PI: 500 m

Comfort Inn 190 Weber Street North Waterloo, ON N2J 3H4
Phone: 519-747-9400
Distance from PI: 2.3 km

Walper Terrace Hotel 1 King Street West Kitchener, ON N2G 1A1
Phone: 519-745-4321
Distance from PI: 3.7 km

Crowne Plaza Kitchener-Waterloo 105 King Street East Waterloo, ON N2G 2K8
Phone: 519-744-4141
Distance from PI: 3.8 km

Four Points by Sheraton 547 King Street North Waterloo, ON N2L 5Z7
Phone: 519-884-0100
Distance from PI: 4.3 km

Homewood Suites by Hilton 45 Benjamin Road Waerloo, ON N2V 2G8
Phone:  519-514-0088
Distance from PI:  5.6 km

Courtyard by Marriott 50 Benjamin Road East St. Jacobs, ON N2V 2J9
Phone: 519-884-9295
Distance from PI: 5.6 km

University of Waterloo Conference Centre 200 University Avenue West Waterloo, ON N2J 4C1
Phone:  1-800-565-5410
Distance from PI:  1.3 km

The Conference Centre accommodations include single and double rooms.  Each floor consists of 24 rooms with 2 large washrooms per floor (1 male and 1 female). Guest rooms are not air conditioned, but a limited number of fans are available on a first come first service basis. 

Scientific Organizers:

  • Courtney Brell, Perimeter Institute
  • Ross Duncan, University of Strathclyde
  • Daniel Gottesman, Perimeter Institute
  • Prince Osei, Perimeter Institute
  • Lucy Zhang, University of Toronto