Submerged freeway. More at the link, so click it.Submerged tubes containing high speed rail and hyperlink facilities will certainly do the trick. On top of that, the floating support pontoons up on the surface can be enlarged to carry service centers, rest stops, scenic overlooks, and in a financial coup, a couple of Chinese air and naval bases, the leases for which can go towards funding construction and maintenance.
We can be assured that the PRC outposts will not be used as a basis for the Chinese to lay claim to the Eastern Pacific as territorial waters or a claim that Hawaii should become a province of China.
It's one of the things I liked about being in engineering: Nothing is impossible. Now let's talk costs.