Timeline for What is the name for quantum gates that can be reversed?
Current License: CC BY-SA 4.0
11 events
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Sep 5, 2019 at 20:59 | comment | added | glS♦ | @Alex personally I would find that a very confusing notation. "Symmetric" is used for matrices such that $A^T=A$. Something like symmetric under exchange of inputs might be better. | |
Sep 5, 2019 at 20:56 | comment | added | Alex | @glS Yep, I meant the last definition that you explained: "they can commute with the SWAP operation". Similar to what DaftWullie said in his comment. So I guess they can be called "symmetric"? | |
Sep 5, 2019 at 18:26 | comment | added | Mark Spinelli |
Oh! Sorry, I think you are right - CPhase satisfies your (and the OP's) requirements, but is not bisymmetric as I suggested in another answer.
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Sep 5, 2019 at 18:10 | comment | added | glS♦ | @MarkS you mean because it satisfies every single one of the conditions, or because I missed that it doesn't satisfy one of them? | |
Sep 5, 2019 at 17:19 | comment | added | Mark Spinelli |
The OP's reference to CPhase seems to be a fly in the ointment, no?
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Sep 5, 2019 at 16:27 | history | edited | glS♦ | CC BY-SA 4.0 |
added 818 characters in body
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Sep 5, 2019 at 16:12 | comment | added | glS♦ | @DaftWullie ah, right, hadn't read that part | |
Sep 5, 2019 at 16:11 | comment | added | DaftWullie | but it is then clarified that the reversal means "exchanging the target qubit with the control qubit" | |
Sep 5, 2019 at 16:10 | comment | added | glS♦ | @DaftWullie why not? "can be reversed and still perform the same operation" reads to me as asking for gates such that $U^{-1}=U^\dagger=U$ | |
Sep 5, 2019 at 15:59 | comment | added | DaftWullie | That's what I thought was being asked when I first read the question. I don't think it is though. | |
Sep 5, 2019 at 15:58 | history | answered | glS♦ | CC BY-SA 4.0 |