Skip to main content

Timeline for Controlled U gate with arbitrary U

Current License: CC BY-SA 4.0

14 events
when toggle format what by license comment
Nov 9 at 16:35 vote accept Daniel Hoekwater
Nov 9 at 15:38 comment added Daniel Hoekwater Thanks, @TristanNemoz! I just updated the post with my work so far.
Nov 9 at 15:37 history edited Daniel Hoekwater CC BY-SA 4.0
added 955 characters in body
Nov 4 at 10:58 comment added Martin Vesely Have a look at Hadamard test: en.m.wikipedia.org/wiki/Hadamard_test
Nov 4 at 8:54 history became hot network question
Nov 4 at 8:25 answer added DaftWullie timeline score: 4
Nov 4 at 5:38 comment added Tristan Nemoz Hi and welcome to QCSE! It'd be better if you included your computations directly in your post, so that people can easily see what you've already done!
Nov 3 at 23:46 comment added Daniel Hoekwater - After the second Hadamard gate: $(|0\rangle \otimes (1+e^{i\theta_1})a|u_1\rangle + (1+e^{i\theta_2})b|u_2\rangle) + |1\rangle \otimes (1-e^{i\theta_1})a|u_1\rangle + (1-e^{i\theta_2})b|u_2\rangle)$
Nov 3 at 23:46 comment added Daniel Hoekwater - After the controlled U: $(|0\rangle \otimes a|u_1\rangle + b|u_2\rangle) + (|1> \otimes e^{i\theta_1}a|u_1\rangle + e^{i\theta_2}b|u_2\rangle)$
Nov 3 at 23:46 comment added Daniel Hoekwater - After the first Hadamard gate: $|+> \otimes a|u_1\rangle + b|u_2\rangle$
Nov 3 at 23:46 comment added Daniel Hoekwater - Prior to the first gate: $|0> \otimes a|u_1\rangle + b|u_2\rangle$
Nov 3 at 23:40 comment added Daniel Hoekwater Since we don't know how to express $a|u_1\rangle + b|u_2\rangle$ in the standard basis, I'm a little unsure how to properly track the state through each gate, but here's what I have so far: - Prior to the first gate: $|0> \otimes a|u_1\rangle + b|u_2\rangle$
S Nov 3 at 23:36 review First questions
Nov 4 at 10:59
S Nov 3 at 23:36 history asked Daniel Hoekwater CC BY-SA 4.0