Compounds of symmetric informationally complete measurements and their application in quantum key distribution
Armin Tavakoli,
Ingemar Bengtsson,
Nicolas Gisin
et al.
Abstract:Symmetric informationally complete measurements (SICs) are elegant, celebrated and broadly useful discrete structures in Hilbert space. We introduce a more sophisticated discrete structure compounded by several SICs. A SIC-compound is defined to be a collection of d 3 vectors in d-dimensional Hilbert space that can be partitioned in two different ways: into d SICs and into d 2 orthonormal bases. While a priori their existence may appear unlikely when d > 2, we surprisingly answer it in the positive through an … Show more
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