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On Deniability in Quantum Key Exchange

Donald Beaver5

(5)  Syntechnica, LLC, USA
Abstract
We show that claims of “perfect security” for keys produced by quantum key exchange (QKE) are limited to “privacy” and “integrity.” Unlike a one-time pad, QKE does not necessarily enable Sender and Receiver to pretend later to have established a different key. This result is puzzling in light of Mayers’ “No-Go” theorem showing the impossibility of quantum bit commitment. But even though a simple and intuitive application of Mayers’ protocol transformation appears sufficient to provide deniability (else QBC would be possible), we show several reasons why such conclusions are ill-founded. Mayers’ transformation arguments, while sound for QBC, are insufficient to establish deniability in QKE.
Having shed light on several unadvertised pitfalls, we then provide a candidate deniable QKE protocol. This itself indicates further shortfalls in current proof techniques, including reductions that preserve privacy but fail to preserve deniability. In sum, purchasing undeniability with an off-the-shelf QKE protocol is significantly more expensive and dangerous than the mere optic fiber for which “perfect security” is advertised.

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