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Multi-mode entangled coherent states are important resources for linearoptics quantum computation and teleportation. Here we introduce the generalizedbalanced N-mode coherent states which recast in the multi-qudit case. Thenecessary and sufficient condition for bi-separability of such balanced N-modecoherent states is found. We particularly focus on pure and mixed multi-qubitand multi-qutrit like states and examine the degree of bipartite as well astripartite entanglement using the concurrence measure. Unlike the N-qubit case,it is shown that there are qutrit states violating monogamy inequality. Usingparity, displacement operator and beam splitters, we will propose a scheme forgenerating balanced N-mode entangled coherent states for even number of termsin superposition.

Entanglement of Multi-qudit States Constructed by Linearly Independent Coherent States: Balanced Case