Hannover 2016 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 54: Quantum Information: Quantum Computing and Communication II
Q 54.5: Vortrag
Donnerstag, 3. März 2016, 15:30–15:45, e214
Contextuality as a resource for qubit quantum computation — Robert Raussendorf1, Dan E. Browne2, Nicolas Delfosse3,4,5, Cihan Okay6, and •Juan Bermejo-Vega7,8 — 1Department of Physics and Astronomy, University of British Columbia, Vancouver, BC, Canada — 2Department of Physics and Astronomy, University College London, Gower Street, London, UK — 3Departement de Physique, Universite de Sherbrooke, Sherbrooke, Quebec, Canada — 4IQIM, California Institute of Technology, Pasadena, CA, USA — 5Department of Physics and Astronomy, University of California, Riverside, California, 92521, USA — 6Department of Mathematics, University of Western Ontario, London, Ontario, Canada — 7Max-Planck Institut fuer Quantum Optics, Theory Division, Garching, Germany — 8Dahlem Center for Complex Quantum Systems, Freie Universitaet Berlin, Berlin, Germany
We describe a scheme of quantum computation with magic states on qubits for which contextuality is a necessary resource possessed by the magic states. More generally, we establish contextuality as a necessary resource for all schemes of quantum computation with magic states on qubits that satisfy three simple postulates. Furthermore, we identify stringent consistency conditions on such computational schemes, revealing the general structure by which negativity of Wigner functions, hardness of classical simulation of the computation, and contextuality are connected.
Based on http://arxiv.org/abs/1511.08506