I think you are out of luck according to this thread on Rogers Community forum:
Especially look at the part, what member ryusoma said:
According to the Wikipedia article, Rogers' LTE bands are:
Band 7 (2600 MHz, FD-LTE)
Bands 4 and 10 (2100/1700 MHz, FD-LTE, AWS)
these are compatible with a few existing providers' deployments around the world, but outside North America the compatibility is literally hit and miss. In Europe for example, even if your LTE phone supports both these bands (and it appears most won't -ie: iPhone 5) you will get LTE coverage in Austria, Germany, Portugal, Russia, Sweden and Switzerland.. but not the rest of Europe, where you will fall back to HSPA or lower. You'll be out of luck in Asia too except for Singapore and Hong Kong.
Fundamentally, this is the fault of international cellular carriers and the ITU, for allowing a free-for-all on spectrum used for LTE. There are over a dozen frequency bands, combined with two incompatible transmission protocols FDD-LTE and TDD-LTE (sort of like CDMA and TDMA of old). Compared to just five worldwide with the older GSM-based standards.
A real conspiracy nut might even imply this is just how the networks want it, since your bleeding-edge carrier-subsidized LTE phone is a blase HSPA brick anytime you leave their network..
The AWS band Rogers uses is the other system - 1700/2100 that uses one frequency outbound and the other inbound to the tower - this system is completely incompatible outside North America. You will not get GREAT coverage as you only have 1 of the bands Rogers supports, but it will be coverage likely in most major centres. On the plus side, your phone would have much better coverage across Europe and the rest of Asia on LTE.