Entangled Quantum States Generated by Shor's Factoring Algorithm
Quantum Physics
2009-11-11 v1
Abstract
The intermediate quantum states of multiple qubits, generated during the operation of Shor's factoring algorithm are analyzed. Their entanglement is evaluated using the Groverian measure. It is found that the entanglement is generated during the pre-processing stage of the algorithm and remains nearly constant during the quantum Fourier transform stage. The entanglement is found to be correlated with the speedup achieved by the quantum algorithm compared to classical algorithms.
Cite
@article{arxiv.quant-ph/0510042,
title = {Entangled Quantum States Generated by Shor's Factoring Algorithm},
author = {Yishai Shimoni and Daniel Shapira and Ofer Biham},
journal= {arXiv preprint arXiv:quant-ph/0510042},
year = {2009}
}
Comments
7 pages, 4 figures submitted to Phys. Rev. A