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19942023
most citedMutually Unbiased Bases and Finite Projective Planes

84 citations · 1.3k across the 190 of their papers we have counts for

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quant-ph2007★ 1 cited

Stationary states in a potential well

H. C. Rosu, J. L. Moran-Lopez

We review here in a historical context the topic of stationary states in the quantum world, including the generalization to the primary ideas. We also discuss the stationary states…

quant-ph2005★ 40 cited

Mutually unbiased phase states, phase uncertainties, and Gauss sums

M. Planat, H. C. Rosu

Mutually unbiased bases (MUBs), which are such that the inner product between two vectors in different orthogonal bases is a constant equal to 1/sqrt{d), with d the dimension of th…

quant-ph2005★ 2 cited

Quantum phase uncertainty in mutually unbiased measurements and Gauss sums

Michel Planat, Haret Rosu

Mutually unbiased bases (MUBs), which are such that the inner product between two vectors in different orthogonal bases is constant equal to the inverse , with the…

quant-ph2005

Riccati nonhermiticity with application to the Morse potential

O. Cornejo-Perez, R. Lopez-Sandoval, H. C. Rosu

A supersymmetric one-dimensional matrix procedure similar to relationships of the same type between Dirac and Schrodinger equations in particle physics is described at the general…

quant-ph2004★ 5 cited

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…

quant-ph2004★ 45 cited

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…