Institute for Quantum Information (IQI) Weekly Seminar

Tuesday January 27, 2015 3:00 PM

Wigner functions negativity and contextuality in quantum computation

Speaker: Nicolas DelFosse, University of Sherbrooke
Location: Annenberg 107
One of the most common way to obtain universality in quantum computation 
is by the injection of magic states. This raises the question:
Which quantum properties of these states are responsible for the
gain in computational power?
Wigner functions negativity and contextuality have recently been 
proposed to explain this extra power for qupits (p-level systems for 
odd p). Unfortunately the case of qubits seems much more involved.
In this talk, I will recall the construction of Discrete Wigner 
functions and their relation with contextuality and quantum
computation for qupits. Then I will consider the case of real 
2-level systems and I will explain how to resurrect most 
of the previous results. This is a first step toward qubits.
 
Based on joint work with Philippe Allard Guerin, Jacob Bian and Robert Raussendorf.
 
Series Institute for Quantum Information (IQI) Weekly Seminar Series

Contact: Jackie O'Sullivan at 626.395.4964 jackieos@caltech.edu