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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…
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…
A Survey of Finite Algebraic Geometrical Structures Underlying Mutually Unbiased Quantum Measurements
Michel R. P. Planat, Haret Rosu, Serge Perrine +1
The basic methods of constructing the sets of mutually unbiased bases in the Hilbert space of an arbitrary finite dimension are discussed and an emerging link between them is outli…
On the Cyclotomic Quantum Algebra of Time Perception
Michel Planat
I develop the idea that time perception is the quantum counterpart to time measurement. Phase-locking and prime number theory were proposed as the unifying concepts for understandi…
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+…