%0 Journal Article %T Families of quasi-local conservation laws and quantum spin transport %A Tomaz Prosen %A Enej Ilievski %J Physics %D 2013 %I arXiv %R 10.1103/PhysRevLett.111.057203 %X For fundamental integrable quantum chains with deformed symmetries we outline a general procedure for defining a continuous family of quasi-local operators whose time-derivative is supported near the two boundary sites only. The program is implemented for a spin 1/2 XXZ chain, resulting in improved rigorous estimates for the high temperature spin Drude weight. %U http://arxiv.org/abs/1306.4498v1