The Entanglement of Superpositions

Details The Entanglement of Superpositions The Entanglement of Superpositions

2005-07-05

arxiv.org/abs/quant-ph/0507049v2

Physics

Quantum Physics

4 pages

Scientific paper

10.1103/PhysRevLett.97.100502

Given a bipartite quantum state (in arbitrary dimension) and a decomposition of it as a superposition of two others, we find bounds on the entanglement of the superposition state in terms of the entanglement of the states being superposed. In the case that the two states being superposed are bi-orthogonal, the answer is simple, and, for example, the entanglement of the superposition cannot be more than one e-bit more than the average of the entanglement of the two states being superposed. However for more general states, the situation is very different.

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