Reexamination of entanglement of superpositions

Details Reexamination of entanglement of superpositions Reexamination of entanglement of superpositions

2007-07-10

arxiv.org/abs/0707.1521v2

Phys. Rev. A 76, 052320 (2007)

Physics

Quantum Physics

5 pages, Published version

Scientific paper

10.1103/PhysRevA.76.052320

We find tight lower and upper bounds on the entanglement of a superposition of two bipartite states in terms of the entanglement of the two states constituting the superposition. Our upper bound is dramatically tighter than the one presented in Phys. Rev. Lett 97, 100502 (2006) and our lower bound can be used to provide lower bounds on different measures of entanglement such as the entanglement of formation and the entanglement of subspaces. We also find that in the case in which the two states are one-sided orthogonal, the entanglement of the superposition state can be expressed explicitly in terms of the entanglement of the two states in the superposition.

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