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- W1654208289 abstract "We show that in a complex $d$-dimensional vector space, one can find O(d) bases whose elements form a 2-design. Such vector sets generalize the notion of a maximal collection of mutually unbiased bases (MUBs). MUBs have many applications in quantum information theory (e.g. in state tomography, cloning, or cryptography) -- however it is suspected that maximal sets exist only in prime-power dimensions. Our construction offers an efficient alternative for general dimensions. The findings are based on a framework recently established, which reduces the construction of such bases to the combinatorial problem of finding certain highly nonlinear functions between abelian groups." @default.
- W1654208289 created "2016-06-24" @default.
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- W1654208289 date "2008-09-01" @default.
- W1654208289 modified "2023-10-17" @default.
- W1654208289 title "Efficient 2-designs from bases exist" @default.
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- W1654208289 doi "https://doi.org/10.26421/qic8.8-9-4" @default.
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