Quantum

Skynet is getting more and more intelligent.

Currently it is working on some quantum stuff to make time traveling more usable.

But it seems to have a problem. At least we were able to find something it is working on.

Can you solve it?

Visit http://quantum.codectf.localos.io/

The basic auth is the same as for the scoreboard



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Write a correct quantum circuit with 6 qubits and 6 classical registers in OpenQASM 2.0 which produces the desired output probability distribution:

"111110": 0.1666666666,
"111101": 0.1666666666,
"111011": 0.1666666666,
"110111": 0.1666666666,
"101111": 0.1666666666,
"011111": 0.1666666666
					

The quality of the result is measured by summing the squares of differences between the found solution and the desired distribution and should be below 10-4.
Example input
OPENQASM 2.0;
include "qelib1.inc";

qreg q[6];
creg c[6];

// YOUR CODE GOES HERE

measure q -> c;

Your solution:
...