The cryptographic power of misaligned reference frames

Abstract

Suppose that Alice and Bob define their coordinate axes differently, and the change of reference frame between them is given by a probability distribution mu over SO(3). We show that this uncertainty of reference frame is of no use for bit commitment when mu is uniformly distributed over a (sub)group of SO(3), but other choices of mu can give rise to a partially or even asymptotically secure bit commitment.

4 pages Latex; v2 has a new reference

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Cited by in corpus (6)

• Reference frames, superselection rules, and quantum information
• The general structure of quantum resource theories
• Reexamination of Quantum Bit Commitment: the Possible and the Impossible
• Quantum key distribution based on orthogonal states allows secure quantum bit commitment
• Random subspaces for encryption based on a private shared Cartesian frame
• Can relativistic bit commitment lead to secure quantum oblivious transfer?