Unconditionally secure quantum bit commitment based on the uncertainty principle

Abstract

Unconditionally secure quantum bit commitment (QBC) was considered impossible. But the no-go proofs are based on the Hughston-Jozsa-Wootters (HJW) theorem (a.k.a. the Uhlmann theorem). Recently it was found that in high-dimensional systems, there exist some states which can display a chaos effect in quantum steering, so that the attack strategy based on the HJW theorem has to require the capability of discriminating quantum states with very subtle difference, to the extent that is not allowed by the uncertainty principle. With the help of this finding, here we propose a simple QBC protocol which manages to evade the no-go proofs.

7 pages. Security proof extended. No change to the protocol

References in corpus (5)

• Characterizing quantum theory in terms of information-theoretic constraints
• Remote preparation of arbitrary ensembles and quantum bit commitment
• Insecurity of Quantum Bit Commitment with Secret Parameters
• Quantum bit commitment and the reality of the quantum state
• Chaos in quantum steering in high-dimensional systems

Cited by in corpus (1)

• An optical implementation of quantum bit commitment using infinite-dimensional systems