Sorry for the translation.
I would like to be able to give each teleporter an arbitrary name.
I would also be happy if it were possible to control it with a circuit.
Thank you as always.

It's already possible to control them with a circuit - it's quite complex and could be made better with a nice UI, but how you do it is give the teleporter a constant signal with ID under signals category and the amount is the number -> give target an ID and now you can give another teleporter the GOTO ID signal with the right amount and it will trigger the teleporter over and over again until the signal is gone.

I second giving teleporters a name/description and instead of having to give them IDs with constant combinators, they should automatically have an ID when they are built.

they should automatically have an ID when they are built.

Although making building faster, I think not assigning IDs automatically, but instead using circuit network can allow advanced users to do complicated combinator setups, dynamically connecting different teleporters to eachother depening on conditions. For example fetching different resources from different teleporters based on demand, teleporting trains based on where they want to go or what they are carrying. So I think it's not wise to change this.

I would like to be able to give each teleporter an arbitrary name.
I would also be happy if it were possible to control it with a circuit.

As far as I know Factorio combinators can only output numbers.
Technically it is possible to crate a custom combinator, that could transmit text info, but it would be very complicated for users to set up.
Currently the ID numbers assigned using circuit network are displayed as nicknames in manual dialing user interface. It is not as human-readable as text, but works.

I could add a nickname combinator entity, that can be opened to write a nickname string and it will transmit nickname over wire to the connected teleporter. I am not sure how the dynamic assignment would work using circuit signals. If there are any simple ideas, how to set text-based names in that entity using circuits, I would consider adding the nickname combinator.

Using the name inside the circuits would be very difficult to set up and very buggy, so naming the building like you would a train station and just showing that name in the interface would be a big improvement so we don't have to remember which ID goes where. It would just show "ID 5 Coal Station - Nauvis", getting the text from the teleporter ID should be easy and taking the text field from the train station.

Yeah, nicknames based on circuit signals grows in complexity too much.
Likely adding an extra "nickname" textbox column in the manual dialing UI is the most elegant solution.
Will add whenever I do the next update.

Nicknames added in 0.2.5

Thanks for adding the nickname!