Strong no-go theorem for Gaussian quantum bit commitment
Quantum Physics
2010-01-06 v2
Abstract
Unconditionally secure bit commitment is forbidden by quantum mechanics. We extend this no-go theorem to continuous-variable protocols where both players are restricted to use Gaussian states and operations, which is a reasonable assumption in current-state optical implementations. Our Gaussian no-go theorem also provides a natural counter-example to a conjecture that quantum mechanics can be rederived from the assumption that key distribution is allowed while bit commitment is forbidden in Nature.
Cite
@article{arxiv.0905.3419,
title = {Strong no-go theorem for Gaussian quantum bit commitment},
author = {Loïck Magnin and Frédéric Magniez and Anthony Leverrier and Nicolas J. Cerf},
journal= {arXiv preprint arXiv:0905.3419},
year = {2010}
}
Comments
4 pages. v2: We discuss the implications of this theorem on the Brassard-Fuchs conjecture and the CBH theorem