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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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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We present a conjectured family of SIC-POVMs which have an additional symmetry group whose size is growing with the dimension.
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