Strong no-go theorem for Gaussian quantum bit commitment

Journal Article · Fri Jan 15 04:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.010302· OSTI ID:21408139

Magnin, Loieck ^[1]; Magniez, Frederic ^[2]; Leverrier, Anthony ^[3]; Cerf, Nicolas J ^[1]

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1. Quantum Information and Communication (QuIC), Ecole Polytechnique, Universite Libre de Bruxelles, B-1050 Brussels (Belgium)
2. Laboratoire de Recherche en Informatique (LRI), Univ Paris-Sud, CNRS, F-91405 Orsay (France)
3. Institut Telecom / Telecom ParisTech, CNRS LTCI, 46 rue Barrault, F-75634 Paris Cedex 13 (France)

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.

• OSTI ID: 21408139
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 81; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
COMPUTERS
FUNCTIONS
GAUSS FUNCTION
INFORMATION
MECHANICS
QUANTUM COMPUTERS
QUANTUM INFORMATION
QUANTUM MECHANICS
QUBITS