Timeline for How to infer the operator's action on an orthogonal state?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 16, 2021 at 21:43 | comment | added | Norbert Schuch | One column. (And to get B|phi>, only one additional column is needed.) | |
| Jan 16, 2021 at 20:33 | vote | accept | ZR- | ||
| Jan 16, 2021 at 20:27 | comment | added | Andrew | What you are basically asking is, "can I infer all the components of a unitary matrix given one row of that matrix?" A unitary matrix from the group $U(N)$ (the group of all $N\times N$ unitary matrices) has $N^2$ real parameters. A row vector has $2N$ parameters (since the elements can be complex). So you need $N^2-2N$ additional independent constraints to fix the matrix. | |
| Jan 16, 2021 at 20:21 | comment | added | ZR- | Thanks for the answer! Which kind of information is needed to figure out $B|\Phi\rangle$? | |
| Jan 16, 2021 at 20:17 | history | answered | Andrew | CC BY-SA 4.0 |