Initializing the Amplitude Distribution of a Quantum State
Quantum Physics
2007-05-23 v1
Abstract
To date, quantum computational algorithms have operated on a superposition of all basis states of a quantum system. Typically, this is because it is assumed that some function f is known and implementable as a unitary evolution. However, what if only some points of the function f are known? It then becomes important to be able to encode only the knowledge that we have about f. This paper presents an algorithm that requires a polynomial number of elementary operations for initializing a quantum system to represent only the m known points of a function f.
Cite
@article{arxiv.quant-ph/9807054,
title = {Initializing the Amplitude Distribution of a Quantum State},
author = {Dan Ventura and Tony Martinez},
journal= {arXiv preprint arXiv:quant-ph/9807054},
year = {2007}
}