Quantum Adversary (Upper) Bound

I discuss a technique - the quantum adversary upper bound - that uses the structure of quantum algorithms to gain insight into the quantum query complexity of Boolean functions. Using this bound, I show that there must exist an algorithm for a certain Boolean formula that uses a constant number of queries. Since the method is non-constructive, it does not give information about the form of the algorithm. After describing the technique and applying it to a class of functions, I will outline quantum algorithms that match the non-constructive bound.

Event Type: 
Seminar
Scientific Area(s): 
Speaker(s): 
Event Date: 
Wednesday, November 20, 2013 - 16:00 to 17:30
Location: 
Time Room