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  Fibonacci-Lucas SIC-POVMs

Grassl, M., & Scott, A. J. (2017). Fibonacci-Lucas SIC-POVMs. Journal of Mathematical Physics, 58: 122201. doi:10.1063/1.4995444.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0000-E380-E Version Permalink: https://hdl.handle.net/21.11116/0000-0001-5C76-4
Genre: Journal Article

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 Creators:
Grassl, Markus1, Author           
Scott, Andrew J.2, Author
Affiliations:
1Quantumness, Tomography, Entanglement, and Codes, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society, ou_2364709              
2external, ou_persistent22              

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 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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 Dates: 2017-07-112017-11-112017-11-04
 Publication Status: Published online
 Pages: The fiducial vectors can be obtained from http://sicpovm.markus-grassl.de as well as from the source files. v2: precision for the numerical solution in dimension 844 increased to 150 digits and new exact solution for dimension 323 added
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 Rev. Type: Peer
 Identifiers: arXiv: 1707.02944
DOI: 10.1063/1.4995444
URI: http://arxiv.org/abs/1707.02944
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Title: Journal of Mathematical Physics
Source Genre: Journal
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Publ. Info: Woodbury, N.Y. [etc.] : American Institute of Physics
Pages: 13 Volume / Issue: 58 Sequence Number: 122201 Start / End Page: - Identifier: ISSN: 0022-2488
CoNE: https://pure.mpg.de/cone/journals/resource/954922836227