Skip to main content
added 213 characters in body
Source Link

I built a circuit in Qiskit with two GHZ states. In the beginning, I created the superposition $\sim\bigg(|0000\rangle+|0101\rangle+|1010\rangle+|1111\rangle\bigg)$ with two $H$s, and two $CNOT$s.

Now, I want to amplify the result $|1111\rangle$ to over $50\%$. The maximum I got was around $40\%$, and for this case, I calculated that I needed only one iteration. I also tried more, but with no success.

Edit: Can anyone tell me how to implement Amplitude Amplification without needing to apply state initialization operator and the inverse of it because the state initialization operator could be highly complex?

Circuit

I built a circuit in Qiskit with two GHZ states. In the beginning, I created the superposition $\sim\bigg(|0000\rangle+|0101\rangle+|1010\rangle+|1111\rangle\bigg)$ with two $H$s, and two $CNOT$s.

Now, I want to amplify the result $|1111\rangle$ to over $50\%$. The maximum I got was around $40\%$, and for this case, I calculated that I needed only one iteration. I also tried more, but with no success.

Circuit

I built a circuit in Qiskit with two GHZ states. In the beginning, I created the superposition $\sim\bigg(|0000\rangle+|0101\rangle+|1010\rangle+|1111\rangle\bigg)$ with two $H$s, and two $CNOT$s.

Now, I want to amplify the result $|1111\rangle$ to over $50\%$. The maximum I got was around $40\%$, and for this case, I calculated that I needed only one iteration. I also tried more, but with no success.

Edit: Can anyone tell me how to implement Amplitude Amplification without needing to apply state initialization operator and the inverse of it because the state initialization operator could be highly complex?

Circuit

added 76 characters in body
Source Link
FDGod
  • 2.6k
  • 2
  • 6
  • 31

I built a circuit in Qiskit with two GHZ-states states. AtIn the beginning, I createcreated the superposition $\sim\bigg(|0000\rangle+|0101\rangle+|1010\rangle+|1111\rangle\bigg)$ with two Hadamards$H$s, and two Cnots the superposition of 0000+0101+1010+1111$CNOT$s. 

Now i, I want to amplify the result 1111$|1111\rangle$ to over 50%$50\%$. The maximum I got was around 40%$40\%$, and for this case i, I calculated that I needneeded only one iteration. I also tried more, but with no success. 

Circuit

I built a circuit in Qiskit with two GHZ-states. At the beginning I create with two Hadamards and two Cnots the superposition of 0000+0101+1010+1111. Now i want to amplify the result 1111 to over 50%. The maximum I got was around 40% and for this case i calculated that I need only one iteration. I also tried more, but with no success.Circuit

I built a circuit in Qiskit with two GHZ states. In the beginning, I created the superposition $\sim\bigg(|0000\rangle+|0101\rangle+|1010\rangle+|1111\rangle\bigg)$ with two $H$s, and two $CNOT$s. 

Now, I want to amplify the result $|1111\rangle$ to over $50\%$. The maximum I got was around $40\%$, and for this case, I calculated that I needed only one iteration. I also tried more, but with no success. 

Circuit

added 101 characters in body
Source Link

I built a circuit in Qiskit with two GHZ-states. At the beginning I create with two Hadamards and two Cnots the superposition of 0000+0101+1010+1111. Now i want to amplify the result 1111 to over 50%. The maximum I got was around 40% and for this case i calculated that I need only one iteration. I also tried more, but with no success.Circuit

I built a circuit in Qiskit with two GHZ-states. Now i want to amplify the result 1111 to over 50%. The maximum I got was around 40% and for this case i calculated that I need only one iteration. I also tried more, but with no success.Circuit

I built a circuit in Qiskit with two GHZ-states. At the beginning I create with two Hadamards and two Cnots the superposition of 0000+0101+1010+1111. Now i want to amplify the result 1111 to over 50%. The maximum I got was around 40% and for this case i calculated that I need only one iteration. I also tried more, but with no success.Circuit

added 66 characters in body
Source Link
Loading
Source Link
Loading