Is it true that there always exist a unitary matrix that can take a state vector of an arbitrary pure state to another arbitrary pure state ? (of course assuming same hilbert space). If true, how do we prove it ? it look like it is true via geometrical arguments but i have not been able to convince myself completely. I am sure in the case of 1 qubit system; what about multiqubit system ? Thanks.(adsbygoogle = window.adsbygoogle || []).push({});

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# Unitary transformation of pure states to other pure states

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