Original sentence: In Commonwealth Realms (which share the same monarch as the UK) passports are issued in the name of the governor-general of that state on behalf of the Queen, except in Canada, where passports are issued on behalf of the Queen by the Minister of Foreign Affairs.The British monarch does not have a passport as British passports are issued in the monarch's name
Edited sentence: In Commonwealth Realms other than the United Kingdom, passports are issued in the name of the Governor-General of that state on behalf of the Queen, except in Canada, where passports are issued on behalf of the Queen by the Minister of Foreign Affairs.The monarch of each of the Commonwealth Realms does not hold any passport as passports in each of those countries are issued in the monarch's name, as per his or her role as sovereign of that particular country