Nonlinear and non-CP gates for Bloch vector amplification
Michael R Geller
Abstract:Any state r=(x,y,z) of a qubit, written in the Pauli basis and initialized in the pure state r=(0,0,1), can be prepared by composing three quantum operations: two unitary rotation gates to reach a pure state on the Bloch sphere, followed by a depolarization gate to decrease r. Here we discuss the complementary state-preparation protocol for qubits initialized at the center of the Bloch ball, r=0, based on increasing or amplifying r to its desired value, then rotating. Bloch vector amplification may or may not … Show more
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