You might be able to do the cloning by using a third party data migration softwrae that supports GPT drives.
I just had this same issue trying to clone the HD in my new ASUS Q200e. This was my first encounter with a EFI Bios and GPT partitioning. I ended up using a freeware program called HDcloning which has full support for GPT partioning.
Note: I kept the GPT partition sizes the same instead of resizing on the new SSD drive.
I tried about 5 different cloning programs but none had the GPT support. I was getting very fustrated
until researching the EFI/GPT issue.
Message was edited by: Paul
If your hdd is either a Seagate or Western Digital, you can download the latest version of their migration softwrae which supports gpt and uefi. If not there are generic ones available with the required support.
I can recommend using the Farstone software "Total Backup Recovery 9 Workstation" which can be downloaded from Download.com. The Tool is easy to use and did the job for me without any problems.