We consider the problem of implementing two-party interactive quantum communication protocols over noisy channels. We motivate the problem as a generalization of quantum error correction for 1-way communication, and a generalization of quantum communication complexity in the noisy regime. We discuss why regular quantum error correction is not applicable, and present a method which surprisingly achieves the capacity in the low-noise regime.
Joint work with Ashwin Nayak, Ala Shayeghim, Dave Touchette, Penghui
Yao, and Nengkun Yu, not yet on the arXiv but will be presented at QIP
2018.