2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114522This 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).Quantum PhysicsOn Lower Bound of Worst Case Error Probability for Quantum Fingerprinting with Shared Entanglementtext