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20002026
most citedMutually Unbiased Bases and Finite Projective Planes

84 citations · 962 across the 88 of their papers we have counts for

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Showing 2007 · quant-phShow all

6 papers · 2 filters

quant-ph2007★ 37 cited

Projective Ring Line of an Arbitrary Single Qudit

Hans Havlicek, Metod Saniga

As a continuation of our previous work (arXiv:0708.4333) an algebraic geometrical study of a single -dimensional qudit is made, with being {\it any} positive integer. The st…

quant-ph2007★ 24 cited

Projective Ring Line of a Specific Qudit

Hans Havlicek, Metod Saniga

A very particular connection between the commutation relations of the elements of the generalized Pauli group of a -dimensional qudit, being a product of distinct primes, an…

quant-ph2007★ 22 cited

Multi-Line Geometry of Qubit-Qutrit and Higher-Order Pauli Operators

Michel R. P. Planat, Anne-Céline Baboin, Metod Saniga

The commutation relations of the generalized Pauli operators of a qubit-qutrit system are discussed in the newly established graph-theoretic and finite-geometrical settings. The du…

quant-ph2007★ 21 cited

The Veldkamp Space of Two-Qubits

Metod Saniga, Michel Planat, Petr Pracna +1

Given a remarkable representation of the generalized Pauli operators of two-qubits in terms of the points of the generalized quadrangle of order two, W(2), it is shown that specifi…

quant-ph2007★ 6 cited

Pauli graph and finite projective lines/geometries

Michel R. P. Planat, Metod Saniga

The commutation relations between the generalized Pauli operators of N-qudits (i. e., N p-level quantum systems), and the structure of their maximal sets of commuting bases, follow…

quant-ph2007★ 11 cited

On the Pauli graphs of N-qudits

Michel Planat, Metod Saniga

A comprehensive graph theoretical and finite geometrical study of the commutation relations between the generalized Pauli operators of N-qudits is performed in which vertices/point…