The uncertainty principle and entangled correlations in quantum key distribution protocols

Reinhard K. Erdmann, David H. Hughes, Richard J. Michalak, Paul R. Cook, John E. Malowicki · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2013

Considerations of non-locality and correlation measures provide insights to Quantum Mechanics. Nonphysical states are shown to exceed limits of QM in both respects and yet conform to relativity’s ‘nosignaling’ constraint. Recent work has shown that the Uncertainty Principle limits non-locality to distinguish models that exceed those of QM. Accordingly, the Uncertainty Principle is shown to limit correlation strength independently of non-locality, extending interpretation of the prior work, and to underlie the security of Quantum Key Distribution. The established Ekert protocol[6] is compared with more secure variations, in particular H. Yuen's Keyed Communication in Quantum Noise (KCQ) [7] and a new Time-Gating protocol which minimizes authentication and susceptibility to active eavesdropping.

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