I sent you 0.9999 anonymous ZOI to test. Here is the transaction:
https://chainz.cryptoid.info/zoi/tx.dws?0920b5f1de6bc413da5c86f47d15729964c3bc65c83f82a486f2be62cb344d10.htm

If you trace it back to the previous one you find a transaction with a zerocoin source, no connection to any other ZOI. Brand new ZOI from nowhere:
https://chainz.cryptoid.info/zoi/tx.dws?238a508eb79e3f2fbb3841bc057787905fd5c7ec1b8bc60b95458f857ae79cb2.htm

If I didn't mention it here it would be unknown who that ZOI came from. Very cool feature.

Assumes of course that zerocoin mint and zerocoin spend really are unlinkable. Not sure how they work.

Does anyone know how this relates to quantum computing? At some point quantum computers will break much cryptography. Will zerocoin transactions remain unlinkable then or will they be breakable by quantum computers?