Do you accidentally use: angular2 -logger ? I had exactly the same error and it turned out, although I actually do not use the parameters that I had to provide for them - it does not work.
For example: in your AppModule you need to import:
import {Logger, Options} from "angular2-logger/core";
Then, in the list of suppliers, make sure you add options:
providers: [ Logger, Options // <-- this is key ]
This led the AOT to enable Options.
Now how do I know? The error gives you a hint that cannot find the "Options". So I used Developer Tools to look at the generated sources using sourceMaps (I looked at main.bundle.js). There I searched for the line "Parameters", and the only blow gave me also the last hint:
__WEBPACK_IMPORTED_MODULE_9_angular2_logger_core__["Options"])
Now it made me understand by looking at the documents that I had to provide in the settings.
Hope this helps. :)