%0 Journal Article %T On Lower Bound of Worst Case Error Probability for Quantum Fingerprinting with Shared Entanglement %A Xin Li %A Tian Liu %A Han Peng %A Hongtao Sun %A Jiaqi Zhu %J Physics %D 2006 %I arXiv %X 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). %U http://arxiv.org/abs/quant-ph/0606116v1