what are the missiles that can be quad packed in type 55 VLS ? is it the same VLS type used in 52D ?
Nothing that is in PLAN service right now. SD-50 aka DK-10 might fit in it, but SD-50 is currently only an export item right now.
Russian 9M96 family of missiles (9M96, 9M96E and 9M96E2) can fit on it, given that HQ-9s are close to being physical copies of the Russian 5V55 and 40N6 missiles, and in paper these missiles can fit on any tube that can fit an HQ-9 or S-300 missile. You can even fit these on the 051C and the 052C. Getting these on the 051C is just a matter of signing a contract for the Russians, as the quad pack is a RIF-M option.
I don't know if China ordered these with their S-400 packages. Would be easy to copy it and add a seeker of "Chinese characteristics".