Institute for Quantum Information (IQI) Weekly Seminar

Wigner functions negativity and contextuality in quantum computation

Nicolas DelFosse, University of Sherbrooke,

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.

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For more information, please contact Jackie O'Sullivan by phone at 626.395.4964 or by email at [email protected].