On Lower Bound of Worst Case Error Probability for Quantum   Fingerprinting with Shared Entanglement
  This paper discusses properties of quantum fingerprinting with shared entanglement. Under certain restriction of final measurement, a relation is given between unitary operations of two parties. Then, by reducing to spherical coding problem, this paper gives a lower bound of worst case error probability for quantum fingerprinting with shared entanglement, showing a relation between worst case error probability and the amount of entanglement(measured by Schmidt number). 
Xin Li, Tian Liu, Han Peng, Hongtao Sun, Jiaqi Zhu