Complementarity of information sent via different bases

Physics – Quantum Physics

Scientific paper

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9 pages, references added

Scientific paper

10.1103/PhysRevA.79.022320

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.

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