Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Analysis-Seminar Augsburg-München

 

Professor Dr. Robert König
Technische Universität München

 
spricht am
 
Donnerstag, 7. Februar 2019
 
um
 
16:00 Uhr
 
im
 
TUM, Boltzmann-3, Garching, Raum 03.08.011, Etage 3
 
über das Thema:
 

»Quantum advantage with shallow circuits«

Abstract:
Quantum effects can significantly enhance information-processing capabilities and speed up the solution of certain computational problems. Whether a quantum advantage can be rigorously proved in some setting or demonstrated experimentally using near-term devices is the subject of active debate. Here we show that parallel quantum algorithms running in a constant time are strictly more powerful than their classical counterparts: they are provably better at solving certain linear algebra problems associated with binary quadratic forms. Our work gives the first unconditional proof of a computational quantum advantage and simultaneously pinpoints its origin: it is a consequence of quantum nonlocality. The proposed quantum algorithm is a suitable candidate for near-future experimental realizations as it requires only constant-depth quantum circuits with nearest-neighbor gates on a 2D grid of qubits.

 

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