Since this info can be hard to find I thought it might be a good idea to post the statues if you are 100% sure you are correct.
Under CA codes:
Section 54.2(b), Service dogs in training
Individuals who are blind or otherwise visually impaired and persons licensed to train guide dogs for individuals who are blind or visually impaired pursuant to Chapter 9.5 (commencing with Section 7200) of Division 3 of the Business and Professions Code or as defined in regulations implementing Title III of the Americans with Disabilities Act of 1990 (Public Law 101-336), and individuals who are deaf or hearing impaired and persons authorized to train signal dogs for individuals who are deaf or hearing impaired, and individuals with a disability and persons who are authorized to train service dogs for the individuals with a disability may take dogs, for the purpose of training them as guide dogs, signal dogs, or service dogs in any of the places specified in Section 54.1 without being required to pay an extra charge or security deposit for the guide dog, signal dog, or service dog. However, the person shall be liable for any damage done to the premises or facilities by his or her dog. These persons shall ensure the dog is on a leash and tagged as a guide dog, signal dog, or service dog by an identification tag issued by the county clerk, animal control department, or other agency, as authorized by Chapter 3.5 (commencing with Section 30850) of Title 14 of the Food and Agricultural Code.
Once they are official SD, they are covered under the ADA and DOJ rules.
Full Statue Listing on Animal Law.com