I have executed this circuit and I don't understand why the result is $|11\rangle$ ?
[q[0], q[1]]: solution register[q[2]]: ancilla register (clause value)[q[3]]: boolean value of Oracle function
Thanks you
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2 Answers
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3 out of 4 states are inverted, that leads to the following situation before you do the Grover Diffusion, which mirror around the red line:
This will bring the all states to zeros, but not $|11\rangle$...
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$\begingroup$ So, i think it's because the number of solutions is greater than N/2 ? How can I fix it if it's possible ? $\endgroup$ Apr 27, 2020 at 17:12
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$\begingroup$ @julienrodriguez what do you expect from the circuit? What are you looking for? Do you know what would happen if the number is exactly N/2? – $\endgroup$ Apr 27, 2020 at 19:10
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$\begingroup$ this circuit compute a simple 2-sat formula (not a or not b). I see quantumcomputing.stackexchange.com/questions/5318/… before my ask. $\endgroup$ May 1, 2020 at 8:28
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$\begingroup$ @julienrodriguez I'm not sure if this will really help you, since you're dealing with a special case. $\endgroup$ May 1, 2020 at 21:57
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So, I add a "ghost qubit" in the solution space in order to increase N. I fixe the "ghost qubit" to a state (|1> here) and we get #solutions < N/2
