Quantum Speedup by Quantum Annealing

We study the glued-trees problem of Childs, et. al. in the adiabatic model of quantum computing and provide an annealing schedule to solve an oracular problem exponentially faster than classically possible. The Hamiltonians involved in the quantum annealing do not suffer from the so-called sign problem. Unlike the typical scenario, our schedule is efficient even though the minimum energy gap of the Hamiltonians is exponentially small in the problem size. We discuss generalizations based on initial-state randomization to avoid some slowdowns in adiabatic quantum computing due to small gaps.

Speaker Details

Mária Kieferová received her undergraduate degree at physics at Comenius University, Bratislava, Slovakia. She continues at the same university as a master student in theoretical physics and works at Research Center for Quantum Information, Slovak Academy of Sciences. Her research interests include quantum walks and adiabatic quantum computation.

Date:
Speakers:
Maria Kieferova
Affiliation:
Comenius University
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      Jeff Running

Series: Microsoft Research Talks