Local predictability and coherence versus distributed entanglement in entanglement swapping from partially entangled pure states

Abstract

Complete complementarity relations, as e.g. $P({\rho }_A{)}^2+C({\rho }_A{)}^2+E(|\Psi {⟩}_{AB}{)}^2=1$, constrain the local predictability, $P$, and local coherence, $C$, and the entanglement, $E$, of bipartite pure states. For pairs of qubits prepared initially in a particular class of partially entangled pure states with null local coherence, these relations were used in Ref. [Phys. Lett. A, 451, 128414 (2022)] to provide an operational connection between local predictability of the pre-measurement states with the probability of the maximally entangled components of the states after the Bell-basis measurement of the entanglement swapping protocol (ESP). In this article, we extend this result for general pure initial states establishing the relation between $P$, $C$ and the distributed entanglement in the ESP. We use IBM's quantum computers to verify experimentally some instances of these general theoretical results.

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Cited by in corpus (2)

• Entanglement distribution in quantum networks via swapping of partially entangled pure states
• Entanglement swapping for partially entangled qudits and the role of quantum complementarity