State preparation based on Grover's algorithm in the presence of global information about the state

Details State preparation based on Grover's algorithm in the presence of global information about the state State preparation based on Grover's algorithm in the presence of global information about the state

2004-11-01

arxiv.org/abs/quant-ph/0411010v1

Physics

Quantum Physics

13 pages

Scientific paper

10.1134/1.2034606

In a previous paper [quant-ph/0408045] we described a quantum algorithm to prepare an arbitrary state of a quantum register with arbitrary fidelity. Here we present an alternative algorithm which uses a small number of quantum oracles encoding the most significant bits of the absolute value of the complex amplitudes, and a small number of oracles encoding the most significant bits of the phases. The algorithm given here is considerably simpler than the one described in [quant-ph/0408045], on the assumption that a sufficient amount of knowledge about the distribution of the absolute values of the complex amplitudes is available.

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