Quantum factorization of 56153 with only 4 qubits
Abstract
The largest number factored on a quantum device reported until now was 143. That quantum computation, which used only 4 qubits at 300K, actually also factored much larger numbers such as 3599, 11663, and 56153, without the awareness of the authors of that work. Furthermore, unlike the implementations of Shor's algorithm performed thus far, these 4-qubit factorizations do not need to use prior knowledge of the answer. However, because they only use 4 qubits, these factorizations can also be performed trivially on classical computers. We discover a class of numbers for which the power of quantum information actually comes into play. We then demonstrate a 3-qubit factorization of 175, which would be the first quantum factorization of a triprime.
Keywords
Cite
@article{arxiv.1411.6758,
title = {Quantum factorization of 56153 with only 4 qubits},
author = {Nikesh S. Dattani and Nathaniel Bryans},
journal= {arXiv preprint arXiv:1411.6758},
year = {2014}
}
Comments
Replaced 44929 with larger number (56153) that results in same Hamiltonian as 143, edited corresponding table and equations. Similarly replaced 13081 with 11663. Fixed typo in equations 14, 15, 19-21