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Exact quantum algorithms

Presented by: 
A Ambainis University of Latvia
Date: 
Friday 6th September 2013 - 15:30 to 16:30
Venue: 
INI Seminar Room 1
Abstract: 
A quantum algorithm is exact if, on any input data, it outputs the correct answer with certainty (probability 1) - in contrast to the usual model in which a quantum algorithm is allowed to output an incorrect answer with a small probabilities. Coming up with exact quantum algorithms is a difficult task because we have to ensure that no amplitude ends up in a state corresponding to an incorrect answer - on any input.

We present the first example of a Boolean function f(x1, ..., xN) for which exact quantum algorithms have superlinear advantage over the deterministic algorithms. Any deterministic algorithm that computes our function must use N queries but an exact quantum algorithm can compute it with O(N^{0.8675...}) queries.

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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons