How to generate a quantum circuit from the quantum state $|1000\rangle+|0100\rangle+|0010\rangle+|0001\rangle$?

Question

I am trying to understand the steps of how make a state preparation circuit from a quantum state. For making my question more clearer, for example, for the state is $\frac{|00\rangle+|11\rangle}{\sqrt{2}}$, the state preparation circuit is :

I want to draw the state preparation circuit for the quantum state $\frac{1}{2}( |1000\rangle + |0100\rangle + |0010\rangle + |0001\rangle)$.

I was following this lecture. I am not able to completely understand the steps used to draw circuits. It would be great if someone can help me with this question.

Does this answer your question? Entanglement distribution of W-State over different locations — Martin Vesely, Jul 24 '21 at 20:34
Hi @MartinVesely ,my question is different. I am looking for techniques to draw the circuit. If somehow, I can get the quantum circuit, it would be a great help. — Manu, Jul 24 '21 at 21:50
@ManuChaudhary: What do you mean by to draw the circuit? Do you look for an algorithm which implements preparation of the state? If so, please have a look at the paper I refered to in my linked answer. — Martin Vesely, Jul 25 '21 at 06:52
Hi @MartinVesely, I edited the question to make it more clear. — Manu, Jul 26 '21 at 04:25
@ManuChaudhary: Yes, I undestand what you mean. If you look at the paper a told you about, you find here and algorithm how to desing a circuit preparing the desired state. Hence, you will be able to draw the circuit. — Martin Vesely, Jul 26 '21 at 06:33

score 3 · Accepted Answer · answered Jul 26 '21 at 16:45

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I have added an image for your reference. If you have to create any state but don't know the circuit then you can always initialize the state then using qiskit transpile, you can decompose the circuit in terms of basis gates

answered Jul 26 '21 at 16:45

prathamesh bhole

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Thank you @prathameshbhole for providing me with such a great code. – Manu Jul 27 '21 at 06:29

How to generate a quantum circuit from the quantum state $|1000\rangle+|0100\rangle+|0010\rangle+|0001\rangle$?

1 Answers1