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arXiv · 0902.1914

Local transformations of superpositions of entangled states

Iulia Ghiu
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Abstract

Suppose that we have two entangled states $\ket {ϕ_1}$, $\ket{ψ_1}$ that cannot be converted to any of other two states $\ket{ϕ_2}$, $\ket{ψ_2}$ by local operations and classical communication. We analyze the possibility of locally transforming a superposition of $\ket{ϕ_1}$ and $\ket{ψ_1}$ into a superposition of $\ket{ϕ_2}$ and $\ket{ψ_2}$. By using the Nielsen's theorem we find the necessary and sufficient conditions for this conversion to be performed.

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Iulia Ghiu. 2009-02-11. Local transformations of superpositions of entangled states. https://doi.org/10.1016/j.physleta.2009.01.021

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