Title :
Learning-Graph-Based Quantum Algorithm for k-Distinctness
Author :
Belovs, Aleksandrs
Author_Institution :
Fac. of Comput., Univ. of Latvia, Riga, Latvia
Abstract :
We present a quantum algorithm solving the k-distinctness problem in a less number of queries than the previous algorithm by Ambainis. The construction uses a modified learning graph approach. Compared to the recent paper by Belovs and Lee, the algorithm doesn´t require any prior information on the input, and the complexity analysis is much simpler.
Keywords :
computational complexity; graph theory; learning (artificial intelligence); quantum computing; complexity analysis; k-distinctness problem; learning-graph-based quantum algorithm; queries; Algorithm design and analysis; Complexity theory; Input variables; Learning systems; Loading; Quantum computing; Silicon; quantum computing; query complexity;
Conference_Titel :
Foundations of Computer Science (FOCS), 2012 IEEE 53rd Annual Symposium on
Conference_Location :
New Brunswick, NJ
Print_ISBN :
978-1-4673-4383-1
DOI :
10.1109/FOCS.2012.18