arXiv:quant-ph/0505068 · International Journal of Quantum Information

HADAMARD TYPE OPERATIONS FOR QUBITS

Arpita Maitra, Preeti Parashar

Published Aug 1, 2006• 11 citations

Abstract

We obtain the most general ensemble of qubits for which it is possible to design a universal Hadamard gate. These states, when geometrically represented on the Bloch sphere, give a new trajectory. We further consider some Hadamard "type" operations and find ensembles of states for which such transformations hold. The unequal superposition of a qubit and its orthogonal complement is also investigated.

DOI: 10.1142/s0219749906002055

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