Last active
September 5, 2020 08:59
-
-
Save SharzyL/c6465adfa8551c565da34a56e4920b68 to your computer and use it in GitHub Desktop.
A Mathematica script to calculate the matrix representation of quantum gate.
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| depth = 3; | |
| gate[func_] := Table[Flatten[func @@ IntegerDigits[l, 2, depth]], {l, 0, 2^depth - 1}]; | |
| v[i_] := If[EvenQ[i], {1, 0}, {0, 1}]; | |
| h[i_] := 1/Sqrt[2] (v[0] + (1 - 2 i) v[1]); | |
| t[i_] := If[EvenQ[i], v[0], E^(I \[Pi]/4) v[1]]; | |
| tc[i_] := If[EvenQ[i], v[0], E^(-I \[Pi]/4) v[1]]; | |
| s[i_] := If[EvenQ[i], v[0], I v[1]]; | |
| gates = { | |
| gate[TensorProduct[v[#1], v[#2], h[#3]] &], | |
| gate[TensorProduct[v[#1], v[#2], v[#2 + #3]] &], | |
| gate[TensorProduct[v[#1], v[#2], tc[#3]] &], | |
| gate[TensorProduct[v[#1], v[#2], v[#1 + #3]] &], | |
| gate[TensorProduct[v[#1], v[#2], t[#3]] &], | |
| gate[TensorProduct[v[#1], v[#2], v[#2 + #3]] &], | |
| gate[TensorProduct[v[#1], v[#2], tc[#3]] &], | |
| gate[TensorProduct[v[#1], v[#2], v[#1 + #3]] &], | |
| gate[TensorProduct[v[#1], tc[#2], t[#3]] &], | |
| gate[TensorProduct[v[#1], v[#1 + #2], v[#3]] &], | |
| gate[TensorProduct[v[#1], tc[#2], v[#3]] &], | |
| gate[TensorProduct[v[#1], v[#1 + #2], v[#3]] &], | |
| gate[TensorProduct[t[#1], s[#2], h[#3]] &] | |
| }; | |
| Fold[Dot, IdentityMatrix[2^depth], gates] // MatrixForm | |
| gate[TensorProduct[v[#1], v[#2], v[#3 + #1 #2]] &] // MatrixForm | |
| TeXForm /@ gates |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment