IAM   02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
artículos
Título:
The Alegebraic structure of an approximately universal system of quantum computational gates
Autor/es:
M. L. DALLA CHIARA, R. GIUNTINI, H. FREYTES, A. LEDDA, G. SERGIOLI
Revista:
FOUNDATIONS OF PHYSICS
Editorial:
Springer verlag
Referencias:
Año: 2009
ISSN:
0015-9018
Resumen:
Shi and Aharonov have shown that the Toffoli gate and the Hadamard gate give rise to an approximately universal set of quantum computational gates. We study the basic algebraic properties of this system by introducing the notion of Shi-Aharonov quantum computational structure. We show that the quotient of this structure is isomorphic to a structure based on a particular set of complex numbers (the closed disc with center (1/2, 12 ) and radius 1/2 ).