Abstract.
A bipartite quantum state (for two systems in any dimensions) can be decomposed as a superposition of many components. For a superposition of more than two components we prove that there is a bound of the entanglement of the superposition state which can be expressed according to entanglements of its component states. Especially, if the component states are mutually bi-orthogonal, the entanglement of the superposition state can be exactly given in terms of the entanglements of the states being superposed.
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An explicit calculation can be seen in arXiv:quant-ph/0701188
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Xiang, Y., Xiong, S. & Hong, F. The bound of entanglement of superpositions with more than two components. Eur. Phys. J. D 47, 257–260 (2008). https://doi.org/10.1140/epjd/e2008-00022-6
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DOI: https://doi.org/10.1140/epjd/e2008-00022-6