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2. A single qubit state is a superposition with respect to a given basis if it can be written as a nontrivial linear combination of
2. A single qubit state is a superposition with respect to a given basis if it can be written as a nontrivial linear combination of the basis with all probability amplitudes being non-zero. A nontrivial linear combination is one such that at least one amplitude is non-zero. (a) Given the standard basis 0,1 show that a qubit in the state + is in a state of superposition with respect to the standard basis
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