# Do entangled states correspond to entangled measurements under local transformations?

@inproceedings{Pimpel2023DoES, title={Do entangled states correspond to entangled measurements under local transformations?}, author={Florian Pimpel and Martin J. Renner and Armin Tavakoli}, year={2023} }

We investigate whether pure entangled states can be associated to a measurement basis in which all vectors are local unitary transformations of the original state. We prove that for bipartite states with a local dimension that is either 2 , 4 or 8 , every state corresponds to a basis. Via numerics we strongly evidence the same conclusion also for two qutrits and three qubits. However, for some states of four qubits we are unable to ﬁnd a basis, leading us to conjecture that not all quantum…

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