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.
Published in:
Foundations of Computer Science (FOCS), 2012 IEEE 53rd Annual Symposium on
Date of Conference: 20-23 Oct. 2012