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Hadamard type operations for qubits

Arpita Maitra·Preeti Parashar
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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' of operations and find ensembles of states for which such transformations hold. Unequal superposition of a qubit and its orthogonal complement is also investigated.

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Arpita Maitra, Preeti Parashar. 2005-05-10. Hadamard type operations for qubits. https://arxiv.org/abs/quant-ph/0505068

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