So, just by chance, I found that the Logitech MX 1100 Cordless Laser Mouse WILL work with the nano receivers from other Logitech mice. However, I also found though trial and error that it does not work with ANY nano receiver. If you know of any other combinations that work Logitech mice, please let me know and I will attempt to create a master list.
WILL WORK WITH - V450 Nano Cordless Laser Mouse for Notebooks [LINK TO ORDER]
Receiver for VX Nano, V450 Nano, V550 Nano - P/N 993-000135
WILL NOT WORK WITH - VX Nano Cordless Laser Mouse for Notebooks
With this information, you can go to Logitech's website. click on "Support", select the correct name, click on "Parts", and "ADD TO CART". Also, you can use the coupon code "Logi_thankyou" to get a 10% discount.
To switch to the nano receiver, rather than the "mini" receiver it comes with, click on "Downloads" rather than "Parts" from the "Support" section. Choose "Windows XP" and "Logitech Connection Utility" (you do not need to install the larger SetPoint software), download the EXE and follow the instructions. The "Connection Utility" does not work in Linux with WINE (since WINE doesn't support USB devices). However, it works fine with VirtualBox and Windows XP. The easiest route is to find an available Windows box to run the program on (since you only need to set the receiver once). I am working on finding a better alternative for Linux only people (like myself). Also note, you cannot have a mouse linked to multiple receivers at once. You must run the "Connection Utility" each time you switch receivers.