Beating no-go theorems by engineering defects in quantum spin models
http://arxiv.org/pdf/1406.7239v1.pdfhttps://arxiv.org/abs/1406.7239
You might find this paper interesting
From their Conclusion Section : "There is an ongoing effort in conquering no-go theorems in quantum mechanics either by going beyond the static framework of the quantum formalism [29] or by relaxing quantum dynamical postulates like unitarity [30]. The work presented in this paper shows another path for overcoming the no-go theorems of ordered systems, while still remaining within the quantum realm, by introducing impurities or defects."