  It is very crucial to know that whether the quantum state generated in the
experiment is entangled or not. In the literature, this topic was studied
extensively and researchers proposed different approaches for the detection of
mixed bipartite entangled state in arbitrary dimension. Proceeding in this line
of research, we also propose three different criteria for the detection of
mixed bipartite negative partial transpose (NPT) entangled state in arbitrary
dimension. Our criteria is based on the method of structural physical
approximation (SPA) of partial transposition (PT). We have shown that the
proposed criteria for the detection of NPT entangled state can be realized
experimentally. Two of the proposed criteria is given in terms of the
concurrence of the given state in arbitrary dimension so it is essential to
find out the concurrence. Thus, we provide new lower and upper bound of
concurrence of the quantum state under investigation in terms of average
fidelity of two quantum states and hence these bounds can be realized
experimentally. Moreover, we have shown how to perform SPA map on qutrit-qubit
system and then explicitly calculated the matrix elements of the density matrix
describing the SPA-PT of the qutrit-qubit system. We then illustrate our
criteria for the detection of entanglement by considering a class of
qubit-qubit system and a class of qutrit-qubit system.
