# how to implement Quantum tomography on an arbitrary state using Qiskit?

Can quantum tomography helps to reconstruct the state? How is this possible with arbitrary quantum state? For example if I have a $$|\psi\rangle= (0.24506+0.9633i)|0\rangle + (0.0046238+0.10943i)|1\rangle$$ if I measure it will give either 1 or 0, How can I reconstruct a state using tomography using Qiskit?

• Do you know what the state is? Then you can work out how to prepare it from, say, the $|0\rangle$ state, and redo this over and over. If you don't know what the state is, there is another important restrictive theorem; the no-cloning theorem, which states exactly that you cannot do this (for any arbitrary state). – JSdJ Mar 31 at 18:07
• That's only for a very restrictive use case - where you know that the state is in either state from a basis, but no other option. Then, you can perform a measurement in that basis to check which of the two basis states it is - a 'normal' measurement is just that for the $Z:= \{|0\rangle,|1\rangle\}$ basis. – JSdJ Mar 31 at 18:36
• That means if I take $$|\psi\rangle= (0.24506+0.9633i)|0\rangle + (0.0046238+0.10943i)|1\rangle$$ and teleport form Alice to Bob, I can reconstruct the state vector $|\psi\rangle$ on the bob side using tomography? I was totally confused. Is that what they were discussing link? – John Jones Mar 31 at 18:53