Persistent entanglement in arrays of interacting particles

Persistent entanglement in arrays of interacting particles

(May 28, 2018) | Hans J. Briegel and Robert Raussendorf
The paper by Hans J. Briegel and Robert Raussendorf explores the entanglement properties of a class of $N$-qubit quantum states generated in arrays of qubits with an Ising-type interaction. These states exhibit a high level of entanglement, characterized by their Schmidt measure, and a significant persistence of entanglement, meaning that approximately $N/2$ qubits need to be measured to disentangle the state. The authors introduce the concepts of *maximal connectedness* and *persistence of entanglement* to describe these states. Maximal connectedness refers to the ability to project any two qubits into a Bell state by local measurements on a subset of other qubits, while persistence of entanglement quantifies the operational effort required to destroy all entanglement in the system. The states described in the paper are different from both the GHZ and W classes of $N$-qubit states and are more entangled than the GHZ states. The authors provide explicit examples and proofs for these properties, particularly for one-dimensional chains and higher-dimensional lattices. They also discuss the experimental realization of these states in optical lattices and their potential as resources for generating other multi-particle entangled states through local operations and classical communication (LOCC).The paper by Hans J. Briegel and Robert Raussendorf explores the entanglement properties of a class of $N$-qubit quantum states generated in arrays of qubits with an Ising-type interaction. These states exhibit a high level of entanglement, characterized by their Schmidt measure, and a significant persistence of entanglement, meaning that approximately $N/2$ qubits need to be measured to disentangle the state. The authors introduce the concepts of *maximal connectedness* and *persistence of entanglement* to describe these states. Maximal connectedness refers to the ability to project any two qubits into a Bell state by local measurements on a subset of other qubits, while persistence of entanglement quantifies the operational effort required to destroy all entanglement in the system. The states described in the paper are different from both the GHZ and W classes of $N$-qubit states and are more entangled than the GHZ states. The authors provide explicit examples and proofs for these properties, particularly for one-dimensional chains and higher-dimensional lattices. They also discuss the experimental realization of these states in optical lattices and their potential as resources for generating other multi-particle entangled states through local operations and classical communication (LOCC).
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