UPDATE: This from Nottingham Noddy...
There are already suggestions that the Nottingham Tram network could be extended to serve the proposed HS2 station at Toton.
However, journey times by tram to the city will be about half an hour so along with a change of mode not a very attractive proposition.
Perhaps using the Attenborough chord HS2 services could be extended off HS2 to serve both Nottingham and Derby.
Although I'm not sure that this would align with HS2 plans to serve the East Midlands en-route to the North
UPDATE: This from Trailer Second...
Toton is the obvious place for the East Midlands station.
All it needs is to divert the Derby – Nottingham line away from Trent Junction, cutting off between Attenborough and Borrowash, obviously electrifying it at the same time.
That would give Derby – Nottingham in about 20 minutes and give both cities a 10 minute “proper train” connection to the High Speed Line.