• Corpus ID: 256416469

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… 
[PDF] Semantic Reader

Tables from this paper

23 References

Local entanglability and multipartite entanglement

We introduce a physically motivated classification of pure quantum states describing n qubits. We characterize all multipartite states which can be maximally entangled to local auxiliary systems…

Operational Resource Theory of Imaginarity.

It is shown that, under reasonable assumptions, quantum states are easier to create and manipulate if they only have real elements, and this gives an operational meaning to the resource theory of imaginarity.

Demonstrating the power of quantum computers, certification of highly entangled measurements and scalable quantum nonlocality

The power of state-of-the-art IBM quantum computers in correlation experiments inspired by quantum networks are demonstrated, demonstrating the ability of quantum computers to outperform classical limitations and certify scalable entangled measurements.

Entanglement in prepare-and-measure scenarios: many questions, a few answers

It is shown that higher-dimensional entanglement further enhance the power of bits or qubits, and several elementary relations between standard classical and quantum communication and their EA counterparts are established, finding that they can be understood as standard quantum communication protocols in real-valued Hilbert space.

Local encoding of classical information onto quantum states

It is shown that for all states generated by Clifford operations there always exists an encoding; this includes all stabilizer states such as cluster states and all graph states, and a general method for generating sets of many such locally encodable states is given.

Entanglement Sharing in Real-Vector-Space Quantum Theory

The limitation on the sharing of entanglement is a basic feature of quantum theory. For example, if two qubits are completely entangled with each other, neither of them can be at all entangled with…

Generalized schmidt decomposition and classification of three-quantum-Bit states

We prove for any pure three-quantum-bit state the existence of local bases which allow one to build a set of five orthogonal product states in terms of which the state can be written in a unique…

Bilocal Bell Inequalities Violated by the Quantum Elegant Joint Measurement.

Network Bell experiments give rise to a form of quantum nonlocality that conceptually goes beyond Bell's theorem. We investigate here the simplest network, known as the bilocality scenario. We depart…

Entanglement Swapping and Quantum Correlations via Symmetric Joint Measurements.

We use hyperentanglement to experimentally realize deterministic entanglement swapping based on quantum elegant joint measurements. These are joint projections of two qubits onto highly symmetric,…

Distillation of multipartite entanglement by complementary stabilizer measurements.

We propose a scheme of multipartite entanglement distillation driven by a complementary pair of stabilizer measurements to distill directly a wider range of states beyond the stabilizer code states…