Strong no-go theorem for Gaussian quantum bit commitment

Details Strong no-go theorem for Gaussian quantum bit commitment Strong no-go theorem for Gaussian quantum bit commitment

2009-05-21

arxiv.org/abs/0905.3419v2

Phys. Rev. A 81, 010302 (2010)

Physics

Quantum Physics

4 pages. v2: We discuss the implications of this theorem on the Brassard-Fuchs conjecture and the CBH theorem

Scientific paper

10.1103/PhysRevA.81.010302

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.

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