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9 papers · 1 filter
A Sequence of Qubit-Qudit Pauli Groups as a Nested Structure of Doilies
Metod Saniga, Michel Planat
Following the spirit of a recent work of one of the authors (J. Phys. A: Math. Theor. 44 (2011) 045301), the essential structure of the generalized Pauli group of a qubit-quit,…
Experimental quantum tossing of a single coin
A. T. Nguyen, J. Frison, K. Phan Huy +1
The cryptographic protocol of coin tossing consists of two parties, Alice and Bob, that do not trust each other, but want to generate a random bit. If the parties use a classical c…
On group theory for quantum gates and quantum coherence
Michel Planat, Philippe Jorrand
Finite group extensions offer a natural language to quantum computing. In a nutshell, one roughly describes the action of a quantum computer as consisting of two finite groups of g…
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…
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…
Projective Ring Line Encompassing Two-Qubits
Metod Saniga, Michel Planat, Petr Pracna
The projective line over the (non-commutative) ring of two-by-two matrices with coefficients in GF(2) is found to fully accommodate the algebra of 15 operators - generalized Pauli…