Local transformations of superpositions of entangled states

Details Local transformations of superpositions of entangled states Local transformations of superpositions of entangled states

2009-02-11

arxiv.org/abs/0902.1914v1

Physics Letters A 373, 922 (2009)

Physics

Quantum Physics

Scientific paper

10.1016/j.physleta.2009.01.021

Suppose that we have two entangled states $\ket {\phi_1}$, $\ket{\psi_1}$ that cannot be converted to any of other two states $\ket{\phi_2}$, $\ket{\psi_2}$ by local operations and classical communication. We analyze the possibility of locally transforming a superposition of $\ket{\phi_1}$ and $\ket{\psi_1}$ into a superposition of $\ket{\phi_2}$ and $\ket{\psi_2}$. By using the Nielsen's theorem we find the necessary and sufficient conditions for this conversion to be performed.

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