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Yes, a 11.2 receiver would be needed. If you want to go on the cheaper side and don't need more than 1 8K/4K 120Hz input, you can get a 9.1 channel Denon AVR-X3700h ($1200 on Amazon) that has preamp outputs for the second set of height channels and use a cheaper Audio Source, Russound, or OSD...

You might want to read this thread. The last post confirms what a big difference having 4 height speakers over 2 is. Carlo_M did a lot of work to get this experience.