Pair coherent state can be regarded as a state of a two-mode radiation field such that the wave function is non-Gaussian and infinite dimensional, too. Since the entanglement for high dimensional mixed states is difficult to calculate, it is necessary to find bound for entanglement measures. In this paper, some features of quantum entanglement for the pair coherent state are studied and also the upper and lower bounds for D-concurrence (a new entanglement measure) over this state are obtained.
