How to have a dual high voltage (±200 V) low current (<100 mA) low noise power supply

Do you already have the power transformer that you want to use?
What kind of accuracy? What is the behavior of your AC line voltage,
that will make a big difference with a linear regulator.
 
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@MarcelvdG I was thinking about this kind of circuit to get more current from it:

268[1].jpg
 
The noise will get a lot lower when you decouple Rs, provided it doesn't destroy the pass transistor or overheat the LR8 at start-up.

With separate secondary windings and rectifiers, you could make two such circuits, ground the positive output of one of them and use the side you would normally ground as the negative output.
 
No, more like extra feedback around the LR8, similar to ADJ decoupling for an LM317. It may be necessary to add a diode (1N4007 or so) in reverse from input to ADJ.

It shouldn't matter for stability or output impedance which side of the output you call ground.
 
For basically the same front end as shown in your simulation, I just used a simple Maida regulator for the positive supply, although only 140V @ 30 mA. I didn't take the shunt load resistor to a negative voltage as I didn't need the swing, but you could just make a negative version. Example in post #28 here.

No problem with noise.

Screenshot 2022-07-26 214606.jpg
 
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