California Code, Probate Code - PROB § 8572

(a) Acceptance of appointment by a nonresident personal representative is equivalent to and constitutes an irrevocable and binding appointment by the nonresident personal representative of the Secretary of State to be the attorney of the personal representative for the purpose of this article. The appointment of the nonresident personal representative also applies to any personal representative of a deceased nonresident personal representative.

(b) All lawful processes, and notices of motion under Section 377.41 of the Code of Civil Procedure, in an action or proceeding against the nonresident personal representative with respect to the estate or founded on or arising out of the acts or omissions of the nonresident personal representative in that capacity may be served on the Secretary of State as the attorney for service of the nonresident personal representative.