# Compounds of symmetric informationally complete measurements and their application in quantum key distribution

@article{Tavakoli2020CompoundsOS, title={Compounds of symmetric informationally complete measurements and their application in quantum key distribution}, author={Armin Tavakoli and Ingemar Bengtsson and Nicolas Gisin and Joseph M. Renes}, journal={arXiv: Quantum Physics}, year={2020} }

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…

## 2 Citations

Certification of a Nonprojective Qudit Measurement using Multiport Beamsplitters

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- 2022

Daniel Martínez,1, 2 Esteban S. Gómez,1, 2 Jaime Cariñe,2, 3 Luciano Pereira,4 Aldo Delgado,1, 2 Stephen P. Walborn,1, 2 Armin Tavakoli,5, 6 and Gustavo Lima1, 2 1Departamento de Física, Universidad…

Bipartite quantum measurements with optimal single-sided distinguishability

- MathematicsQuantum
- 2021

It is shown that the one-party measurement that distinguishes the states of an optimal basis of the composite system leads to a local quantum state tomography with a linear reconstruction formula and is valid for all dimensions for which a symmetric informationally complete (SIC) generalized measurement is known.

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