rfid - How to clone an NFC tag (e.g. MIFARE Classic) to an Android device?

I use a MIFARE Classic NFC access card.

Is there any way to clone my card on an Android device (e.g. on Samsung Galaxy Nexus or Asus Nexus 7)?

Note: this question is not about duplicating an NFC tag onto another NFC tag, but rather use the smartphone as an NFC tag. (This should be possible since it is possible to use the phone as NFC tag for contactless payments.)