84 citations · 962 across the 88 of their papers we have counts for
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MUBs: From finite projective geometry to quantum phase enciphering
H. C. Rosu, M. Planat, M. Saniga
This short note highlights the most prominent mathematical problems and physical questions associated with the existence of the maximum sets of mutually unbiased bases (MUBs) in th…
On Cremonian Dimensions Qualitatively Different from Time and Space
Metod Saniga
We examine a particular kind of six-dimensional Cremonian universe featuring one dimension of space, three dimensions of time and other two dimensions that can*not* be ranked as ei…
Sets of Mutually Unbiased Bases as Arcs in Finite Projective Planes?
Metod Saniga, Michel Planat
This note is a short elaboration of the conjecture of Saniga et al (J. Opt. B: Quantum Semiclass. 6 (2004) L19-L20) by regarding a set of mutually unbiased bases (MUBs) in a d-dime…
On an Observer-Related Unequivalence Between Spatial Dimensions of a Generic Cremonian Universe
Metod Saniga
Given a generic Cremonian space-time, its three spatial dimensions are shown to exhibit an intriguing, "two-plus-one" partition with respect to standard observers. Such observers a…
Mutually Unbiased Bases and Finite Projective Planes
Metod Saniga, Michel Planat, Haret Rosu
It is conjectured that the question of the existence of projective planes whose order is not a power of prime is intimately linked with the problem whether there exists a set of d+…
Cremonian Space-Time(s) as an Emergent Phenomenon
Metod Saniga
It is shown that the notion of fundamental elements can be extended to_any_, i.e. not necessarily homaloidal, web of rational surfaces in a three-dimensional projective space. A Cr…