Timeline for Does anyone know the list of all known universal sets of quantum gates?
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Aug 8, 2022 at 11:02 | comment | added | Adam Sawicki | Have a look at this paper. You can find there a criteria for universality journals.aps.org/pra/abstract/10.1103/PhysRevA.105.052602 and arxiv version arxiv.org/abs/2111.03862 | |
| Apr 22, 2021 at 12:48 | vote | accept | Игорь Токарев | ||
| Apr 21, 2021 at 6:33 | history | edited | Adam Zalcman | CC BY-SA 4.0 |
added 6 characters in body; edited tags; edited title
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| Apr 21, 2021 at 6:28 | answer | added | Adam Zalcman | timeline score: 16 | |
| Apr 21, 2021 at 6:18 | comment | added | Игорь Токарев | Yes, I know, that there infinite count of them. I asked about non-intersecting known! sets... | |
| Apr 20, 2021 at 20:47 | review | First posts | |||
| Apr 21, 2021 at 8:58 | |||||
| Apr 20, 2021 at 20:36 | comment | added | Condo | A universal quantum gate set (for qubits) is any finite set of elements that generate a dense subset (topologically) of $PU(2)$ (the projective group of $2\times 2$ unitaries). In fact, there is probably an infinite number of them. | |
| Apr 20, 2021 at 18:53 | comment | added | forky40 | Also any gate set containing a universal gate set as a subset is universal, so it might help to constrain what you're asking for. | |
| Apr 20, 2021 at 18:51 | comment | added | forky40 | For most choices of two qubit entangling gates plus "rotations" you can synthesize a CNOT (SWAP being a notable exception), and so sets like {rotations, sqrt(SWAP)} and {rotations, ISWAP} and so on are also universal. | |
| Apr 20, 2021 at 17:33 | history | asked | Игорь Токарев | CC BY-SA 4.0 |