"The Crown" is a concept and refers to the continuing reigning right of the monarchy - or something like that. I don't want to get into complex arguments there. From one reign to the next, "the Crown" does not begin or end. Monarchs do. So the "ownership" of the property designated for the crown does not begin or end either. Control of that property passes from monarch to monarch.
Property designated as "crown something or other" would have been mentioned as such in a document somewhere sometime. For example, Queen Victoria identified some jewels that way. The intention was that the property would pass from one person to the next as the crown passed. The person has control of the property while monarch but cannot interfere with the way the property passes from one to another.
In the QD, Roberts introduced the expression "heirloom of the crown" which I like a lot.
It clarifies that the property is inherited along with the crown.
Edit: Jorge - I decided to add to this reply.
Crown property is the property of the crown. So it is not the property of the monarch (or of the person who is the monarch), and it is not the property of the State.
--Previous Message-- : There is one thing that I don't understand : about British royal jewels: the jewels left : to the crown (Queen Victoria rubies for : example).Are they personal property of the : Monarch (although cannot be sold as if they : were in a Foundation) or are property of the : State and held in trust by the Monarch? : Certainly are not part of the Crown Jewels : because they were used outside UK. : Can anyone explain this? I find it very : confusing. :