Complementarity of information sent via different bases

Abstract

We discuss quantitatively the complementarity of information transmitted by a quantum system prepared in a basis state in one out of several different mutually unbiased bases (MUBs). We obtain upper bounds on the information available to a receiver who has no knowledge of which MUB was chosen by the sender. These upper bounds imply a complementarity of information encoded via different MUBs and ultimately ensure the security in quantum key distribution protocols.

9 pages, references added

References in corpus (7)

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Cited by in corpus (4)

• Correlations in local measurements on a quantum state, and complementarity as an explanation of nonclassicality
• Uncertainty relations for MUBs and SIC-POVMs in terms of generalized entropies
• Majorization entropic uncertainty relations for quantum operations
• Information gain versus coupling strength in quantum measurements