You don't buy Boses to plug them into a hifi setup at home. They are made for travelling. You should get something that sounds way better for half the price. The cord on these headphones will be really short because they're made for portable use. If you really need anc headphones at home, then get the Bluetooth transmitter to go with the QC35s.
If you want o be wireless, I doubt that your amp has a Bluetooth transmitter. In fact you don't necessarily need an Amp, get a good Bluetooth transmitter and plug the line out of your source into that. If you really want to connect to the Amp you can use the wired option, the QC35's will sound best powered up, in this case the QC35's internal electronics will be at work, again questioning the value of the Amp. Most Amps have lousy headphone sockets (series resistor), some do not which requires speaker taps. I'd skip the amp altogether.
I believe the mic is only useable via Bluetooth. The Mic and switch are not accessible through the wired option.
You have to get a special cable. The headphones themselves will work without any power using the cable that Bose supplies but you won't be able to make phone calls. Also, the audio quality is drastically reduced when doing this. This mode is meant to get you through until you can charge the headphones. Bose does sell an additional cable, one with a built-in remote and microphone. I think it's $30 and advertised as an accessory for the QC25's but it will work with the QC35's. You'll be able to make phone calls and control media playback with the cable when the headphones are drained.
That QC-25 cable is for Apple devices, which would present a problem with Android, etc.so the poster should be careful. Also it has a TRRS plug at the headphone end which might or might not cause a problem with the QC35 which has a TRS receptacle. I looked at this in the past, since I don't have an iPhone it ended there.
Actually the mike in the cord is passive and does not require power. In the case of the iPhone cable, the middle button may not work on all non Apple devices as some require specific values of resistance in the cable for that switch. In any case they offer two different cables so either camp is covered. Sometimes TRRS does matter because that extra ring gets shorted to ground and depending on the wiring and device something might get grounded that shouldn't be grounded. Some luck of the draw might come into play.
I've had iPhone cables not work correctly in non apple devices where the switch did not function properly and the microphone was noisy so the luck of the draw can come into play. I haven't bothered with an Apple cable in years, I believe the Senn Momentum and Bose QC15 may have been the case with a Samsung S3. Again, for accuracy, the mic might work but it does not require power from the attached device. One can always try the cable and see if it works.
Read Bose's statement in the link I provided and check their license agreement for their app. One could say that they are playing with words. Time will tell. For now, I uninstalled the app.
