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.
机构:
NEC Corp Ltd, Fundamental Res Labs, Syst Devices & Fundamental Res, Tsukuba, Ibaraki 3058501, JapanNEC Corp Ltd, Fundamental Res Labs, Syst Devices & Fundamental Res, Tsukuba, Ibaraki 3058501, Japan
Ishizaka, S
Hiroshima, T
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机构:
NEC Corp Ltd, Fundamental Res Labs, Syst Devices & Fundamental Res, Tsukuba, Ibaraki 3058501, JapanNEC Corp Ltd, Fundamental Res Labs, Syst Devices & Fundamental Res, Tsukuba, Ibaraki 3058501, Japan