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Entanglement Theory Quantum Correlations Quantum Simulation Quantum State Preparation Representation

Fibonacci-Lucas SIC-POVMs

arXiv
Authors: Markus Grassl, Andrew J. Scott

Year

2017

Paper ID

44703

Status

Preprint

Abstract Read

~2 min

Abstract Words

55

Citations

N/A

Abstract

We present a conjectured family of SIC-POVMs which have an additional symmetry group whose size is growing with the dimension. The symmetry group is related to Fibonacci numbers, while the dimension is related to Lucas numbers. The conjecture is supported by exact solutions for dimensions d=4,8,19,48,124,323, as well as a numerical solution for dimension d=844.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1707.02944 [2] arXiv https://arxiv.org/abs/1707.02944 [3] Publisher https://arxiv.org/abs/1707.02944

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