How to implement a gate that generate a uniform superposition of all permutation of element

Asked Apr 26 '22 at 23:39

Active Apr 27 '22 at 08:14

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I'm looking for a quantum circuit that permits generating a uniform superposition of all possible permutations for example if we have as input $|0123\rangle$ the output will be the uniform superposition of all possible permutation $1/a(|0123\rangle+|1023\rangle+|0213\rangle+.....+|3210\rangle)$. I have already implemented a circuit with SWAP gates but the problem is I'm not getting the uniform superposition.

edited Apr 27 '22 at 08:14

R.W

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asked Apr 26 '22 at 23:39

malak sa

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seems related to https://quantumcomputing.stackexchange.com/q/11682/55 – glS Apr 27 '22 at 09:15
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It would be helpful if you include the circuit you implemented and the result you get from it. – epelaez Apr 27 '22 at 09:48

How to implement a gate that generate a uniform superposition of all permutation of element

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